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Topological semimetal antiferromagnets provide a rich source of exotic topological states which can be controlled by manipulating the orientation of the Néel vector, or by modulating the lattice parameters through strain. We investigate via ab initio density functional theory calculations, the effects of shear strain on the bulk and surface states n two antiferromagnetic EuCd2As2 phases with out-of-plane and in-plane spin configurations. When magnetic moments are along the c-axis, a 3% longitudinal or diagonal shear strain can tune the Dirac semimetal phase to an axion insulator phase, characterized by the parity-based invariant η4I=2. For an in-plane magnetic order, the axion insulator phase remains robust under all shear strains. We further find that for both magnetic orders, the bulk gap increases and a surface gap opens on the (001) surface up to 16 meV. Because of a nonzero η4I index and gapped states on the (001) surface, hinge modes are expected to happen on the side surface states between those gapped surface states. This result can provide a valuable insight in the realization of the long-sought axion states.
Terahertz (THz) radiation lies between the micro and far-infrared range in the electromagnetic spectrum. Compared with microwave and millimeter waves, it has a larger signal bandwidth and extremely narrow antenna beam. Thus, it is easier to achieve high-resolution for imaging and detection applications. The unique properties, such as penetration for majority non-polar materials, non-ionizing characteristic and the spectral fingerprint of materials, makes THz imaging an appealing artifice in the military, biomedical, astronomical communications, and other areas. However, THz radiation’s current low power level and detection sensitivity block THz imaging system from including fewer optical elements than the visible or infrared range. This leads to imaging resolution, contrast, and imaging field of view degenerate and makes the aberration more serious. THz imaging based on the space Fourier spectrum detection is developed in this thesis to achieve high-quality imaging. The main concept of Fourier imaging is by recording the field distribution in the Fourier plane (focal plane) of the imaging system; the information of the target is obtained. The numerical processing method is needed to extract the amplitude and phase information of the imaged target. With additional process, three-dimensional (3D) information can be obtained based on the phase information. The novel recording and reconstructing ways of the Fourier imaging system enables it to have a higher resolution, better contrast, and broader field of view than conventional imaging systems such as microscopy and plane to plane telescopic imaging system.
The work presented in this thesis consists of two imaging systems, one is working at 300 GHz based on the fundamental heterodyne detection of the THz radiation, the other is operated at 600 GHz by utilizing the sub harmonic heterodyne detection technique. The realization and test of the heterodyne detection are based on the THz antenna-coupled field-effect transistor (TeraFET) detector developed by Dr. Alvydas Lisauskas. Both systems use two synchronized electronic multiplier chains to radiate the THz waves. One radiation works as the local oscillator (LO), the other works as illumination with a slight frequency shift, the radiations are mixed on the detector scanning in the Fourier plane to record the complex Fourier spectrum of the imaged target. The LO has the same frequency range as the illuminating radiation for fundamental heterodyne detection but half the frequency range for the sub-harmonic heterodyne detection. The 2-mm resolution, 60-dB contrast, and 5.5-cm diameter imaging area at 300 GHz and the of 500-μm resolution, 40-dB contrast, and 3.5-cm diameter imaging area at 600 GHz are achieved (the 300-GHz illuminating radiation has the approximate power of 600 μW , the 600-GHz illuminating radiation has the approximate power of 60 μW ).
The thesis consists of 6 parts. After the introduction, the second chapter expands on the topic of Fourier optics from a theoretical point of view and the simulations of the Fourier imaging system. First, the theory of the electromagnetic field propagation in free space and through an optical system are investigated to elicit the Fourier transform function of the imaging system. The simulation is used for theoretical considerations and the implementation of a Fourier optic script that allows for numerical investigations on reconstruction. The preliminary imaging field of view and resolution are also demonstrated. The third chapter describes the Fourier imaging system at 300 GHz based on the fundamental heterodyne detection, including the experimental setup, the 2D, and 3D imaging results. The following fourth chapter reports the integration of the TeraFET detector with two substrate lenses (one is a Si lens on the back-side Si substrate, the other is a wax/PTFE lens on the front side containing the bonding wires) for sub-harmonic heterodyne detection at 600 GHz. The characteristic of the wax/PTFE lens at THz range is presented. After that, the compared imaging results between the detector with and without the wax/PTFE lens are shown. The fifth chapter extends the demonstration on the lateral and depth resolution of the Fourier imaging system in detail and uses the experimental results at 600 GHz to validate the analytical predictions. The comparison of the resolution between the Fourier imaging system and the conventional microscopy system proves that the Fourier imaging system has better imaging quality under the same system configuration. The last chapter in this thesis concludes on the findings of the THz Fourier imaging and gives an outlook for the enhancement of the Fourier imaging system at THz range.
Electronic systems living on Archimedean lattices such as kagome and square–octagon networks are presently being intensively discussed for the possible realization of topological insulating phases. Coining the most interesting electronic topological states in an unbiased way is however not straightforward due to the large parameter space of possible Hamiltonians. A possible approach to tackle this problem is provided by a recently developed statistical learning method (Mertz and Valentí in Phys Rev Res 3:013132, 2021. https://doi.org/10.1103/PhysRevResearch.3.013132), based on the analysis of a large data sets of randomized tight-binding Hamiltonians labeled with a topological index. In this work, we complement this technique by introducing a feature engineering approach which helps identifying polynomial combinations of Hamiltonian parameters that are associated with non-trivial topological states. As a showcase, we employ this method to investigate the possible topological phases that can manifest on the square–octagon lattice, focusing on the case in which the Fermi level of the system lies at a high-order van Hove singularity, in analogy to recent studies of topological phases on the kagome lattice at the van Hove filling.
In this work, inhomogeneous chiral phases are studied in a variety of Four-Fermion and Yukawa models in 2+1 dimensions at zero and non-zero temperature and chemical potentials. Employing the mean-field approximation, we do not find indications for an inhomogeneous phase in any of the studied models. We show that the homogeneous phases are stable against inhomogeneous perturbations. At zero temperature, full analytic results are presented.
Human feline leukaemia virus subgroup C receptor-related proteins 1 and 2 (FLVCR1 and 2) are major facilitator superfamily transporters from the solute carrier family 49. Dysregulation of these ubiquitous transporters has been linked to various haematological and neurological disorders. While both FLVCRs were initially proposed to hold a physiological function in heme transport, subsequent studies questioned this notion. Here, we used structural, computational and biochemical methods and conclude that these two FLVCRs function as human choline transporters. We present cryo-electron microscopy structures of FLVCRs in different inward- and outward-facing conformations, captured in the apo state or in complex with choline in their translocation pathways. Our findings provide insights into the molecular framework of choline coordination and transport, largely mediated by conserved cation-π interactions, and further illuminate the conformational dynamics of the transport cycle. Moreover, we identified a heme binding site on the protein surface of the FLVCR2 N-domain, and observed that heme actively drives the conformational transitions of the protein. This auxiliary binding site might indicate a potential regulatory role of heme in the FLVCR2 transport mechanisms. Our work resolves the contested substrate specificity of the FLVCRs, and sheds light on the process of maintaining cellular choline homeostasis at the molecular level.
A synchrotron is a particular type of cyclic particle accelerator and the first accelerator concept to enable the construction of large-scale facilities [10], such as the largest particle accelerator in the world, the 27-kilometre-circumference Large Hadron Collider (LHC) by CERN near Geneva, Switzerland, the European Synchrotron Radiation Facility (ESRF) in Grenoble, France for the synchrotron radiation, the superconducting, heavy ion synchrotron SIS100 under construction for the FAIR facility at GSI, Darmstadt, Germany and so on. Unlike a cyclotron, which can accelerate particles starting at low kinetic energy, a synchrotron needs a pre-acceleration facility to accelerate particles to an appropriate initial value before synchrotron injection. A pre-acceleration can be realized by a chain of other accelerator structures like a linac, a microtron in case of electrons, for example, Proton and ion injectors Linac 4 and Linac 3 for the LHC, UNLAC as the injector for the SIS18 in GSI and in future the SIS18 as injector for the SIS100. The linac is a commonly used injector for the ion synchrotron and consists of some key components. The three main parts of a linac are: An ion source creating the particles, a buncher system or an RFQ followed by the main drift tube accelerator DTL. In order to meet the energy and the beam current requirement of a synchrotron injector linac, its cost is a remarkable percentage of the total facility costs.
However, the normal conducting linac operation at cryogenic temperatures can be a promising solution in improving the efficiency and reducing the costs of a linac. Synchrotron injectors operate at very low duty factor with beam pulse lengths in 1 micros to 100 micros range, as most of the time is needed to perform the synchrotron cycle. Superconducting linacs are not convenient, as they cannot efficiently operate at low duty factor and high beam currents.
The cryogenic operation of ion linacs is discussed and investigated at IAP in Frankfurt since around 2012 [1, 37]. The motivation was to develop very compact synchrotron injectors at reduced overall linac costs per MV of acceleration voltage. As the needed beam currents for new facilities are increasing as well, the new technology will also allow an efficient realization of higher injector linac energies, which is needed in that case. Operating normal conducting structures at cryogenic temperature exploits the significantly higher conductivity of copper at temperatures of liquid nitrogen and below. On the other hand, the anomalous skin effect reduces the gain in shunt impedance quite a bit[25, 31, 9]. Some intense studies and experiments were performed recently, which are encouraging with respect to increased field levels at linac operation temperatures between 30 K and 70 K [17, 24, 4, 23, 5, 8]. While these studies are motivated by applications in electron acceleration at GHz-frequencies, the aim of this paper is to find applications in the 100 to 700 MHz range, typical for proton and ion acceleration. At these frequencies, a higher impact in saving RF power is expected due to the larger skin depth, which is proportional to the frequency to the power of negative half with respect to the normal skin effect. On the other hand, it is assumed that the improvement in maximum surface field levels will be similar to what was demonstrated already for electron accelerator cavities. This should allow to find a good compromise between reduced RF power needs for achieving a given accelerator voltage and a reduced total linac length to save building costs.
A very important point is the temperature stability of the cavity surface during the RF pulse. This is of increasing importance the lower the operating temperature is chosen: the temperature dependence of the electric conductivity in copper gets rather strong below 80 K, as long as the RRR - value of the copper is adequate. It is very clear, that this technology is suited for low duty cycle operated cavities only - with RF pulse lengths below one millisecond. At longer pulses the cavity surface will be heated within the pulse to temperatures, where the conductivity advantage is reduced substantially. These conditions fit very well to synchrotron injectors or to pulsed beam power applications.
H – Mode structures of the IH – and of the CH – type are well-known to have rather small cavity diameters at a given operating frequency. Moreover, they can achieve effective acceleration voltage gains above 10 MV/m even at low beam energies, and already at room temperature operation[29]. With the new techniques of 3d – printing of stainless steel and copper components one can reduce cavity sizes even further – making the realization of complex cooling channels much easier.
Another topic are copper components in superconducting cavities – like power couplers. It is of great importance to know exactly the thermal losses at these surfaces, which can’t be cooled efficiently in an easy way.
This thesis provides a detailed derivation of dissipative spin hydrodynamics from quantum field theory for systems composed of spin-0, spin-1/2, or spin-1 particles.
The Wigner function formalism is introduced for quantum fields in the respective representations of the Poincaré group, and the conserved currents, i.e., the energy-momentum tensor and the total angular momentum tensor, in various so-called pseudogauges are derived. An expansion around the semiclassical limit in powers of the Planck constant is performed.
Subsequently, kinetic equations are obtained for binary elastic scattering, using both the de Groot-van Leeuwen-van Weert and Kadanoff-Baym method, with the latter retaining the effect of quantum statistics. The resulting collision term features both local and nonlocal contributions, with the latter providing a relaxation mechanism for the spin degrees of freedom of the quasiparticles. The local-equilibrium distribution function is derived from the requirement that the local part of the collision term vanishes.
From quantum kinetic theory, dissipative spin hydrodynamics is then constructed via the method of moments, extended to particles with spin. The system of moment equations is closed via the Inverse-Reynolds Dominance (IReD) approach, resulting in a set of equations of motion describing the evolution of both ideal and dissipative degrees of freedom. The application to polarization phenomena relevant to heavy-ion collisions is discussed.
Seit hundert Jahren ist bekannt, dass die mikroskopische Welt der Atome und Moleküle von den Gesetzen der Quantenphysik regiert wird. Lange Zeit galten Quantenphänomene als verworren und unkontrollierbar. Heute arbeiten Physikerinnen und Physiker daran, unter Nutzung quantenphysikalischer Effekte Materialien mit neuartigen Eigenschaften zu kreieren.
Present nuclear reaction network computations for astrophysical simulations involve many different types of rates, including neutron-capture reactions of interest for the modeling of heavy-element nucleosynthesis. While for many of them we still have to rely on theoretical calculations, an increasing number of experimentally-determined cross sections have now become available. In this contribution, we present “ASTrophysical Rate and rAw data Library” (ASTRAL), a new online database for neutron-capture cross sections based on experimental results, mainly obtained through activation and timeof-flight measurements. For the evaluation process, cross sections were re-calculated starting from raw data and by considering recent changes in physical properties of the involved isotopes (e.g., half-life and γ-ray intensities). We show the current status of the database, the techniques adopted to derive the recommended Maxwellian-averaged cross sections, and future developments.
Asymptotic giant branch (AGB) stars are responsible for the production of the main component of the solar s-process distribution. Despite enormous progress in the theoretical modeling of these objects over the last few decades, many uncertainties remain. The still-unknown mechanism leading to the production of 13C neutron source is one example. The nucleosynthetic signature of AGB stars can be examined in a number of stellar sources, from spectroscopic observations of intrinsic and extrinsic stars to the heavy-element isotopic composition of presolar grains found in meteorites. The wealth of available observational data allows for constraining the processes occurring in AGB interiors. In this view, we discuss recent results from new AGB models including the effects of mixing triggered by magnetic fields, and show comparisons of the related s-process nucleosynthesis with available observations.
Lattice strains of appropriate symmetry have served as an excellent tool to explore the interaction of superconductivity in the iron-based superconductors with nematic and stripe spin-density wave (SSDW) order, which are both closely tied to an orthorhombic distortion. In this work, we contribute to a broader understanding of the coupling of strain to superconductivity and competing normal-state orders by studying CaKFe4As4 under large, in-plane strains of B1g and B2g symmetry. In contrast to the majority of iron-based superconductors, pure CaKFe4As4 exhibits superconductivity with relatively high transition temperature of Tc∼35 K in proximity of a non-collinear, tetragonal, hedgehog spin-vortex crystal (SVC) order. Through experiments, we demonstrate an anisotropic in-plane strain response of Tc, which is reminiscent of the behavior of other pnictides with nematicity. However, our calculations suggest that in CaKFe4As4, this anisotropic response correlates with the one of the SVC fluctuations, highlighting the close interrelation of magnetism and high-Tc superconductivity. By suggesting moderate B2g strains as an effective parameter to change the stability of SVC and SSDW, we outline a pathway to a unified phase diagram of iron-based superconductivity.
Motivated by the wealth of proposals and realizations of nontrivial topological phases in EuCd2As2, such as a Weyl semimetallic state and the recently discussed semimetallic versus semiconductor behavior in this system, we analyze in this work the role of the delicate interplay of Eu magnetism, strain and pressure on the realization of such phases. For that we invoke a combination of a group theoretical analysis with ab initio density functional theory calculations and uncover a rich phase diagram with various non-trivial topological phases beyond a Weyl semimetallic state, such as axion and topological crystalline insulating phases, and discuss their realization.
Motivated by the wealth of proposals and realizations of nontrivial topological phases in EuCd2As2, such as a Weyl semimetallic state and the recently discussed semimetallic versus semiconductor behavior in this system, we analyze in this work the role of the delicate interplay of Eu magnetism, strain and pressure on the realization of such phases. For that we invoke a combination of a group theoretical analysis with ab initio density functional theory calculations and uncover a rich phase diagram with various non-trivial topological phases beyond a Weyl semimetallic state, such as axion and topological crystalline insulating phases, and discuss their realization.
Motivated by the wealth of proposals and realizations of nontrivial topological phases in EuCd2As2, such as a Weyl semimetallic state and the recently discussed semimetallic versus semiconductor behavior in this system, we analyze in this work the role of the delicate interplay of Eu magnetism, strain and pressure on the realization of such phases. For that we invoke a combination of a group theoretical analysis with ab initio density functional theory calculations and uncover a rich phase diagram with various non-trivial topological phases beyond a Weyl semimetallic state, such as axion and topological crystalline insulating phases, and discuss their realization.
Cryo-electron tomography (cryo-ET) is a powerful method to elucidate subcellular architecture and to structurally analyse biomolecules in situ by subtomogram averaging (STA). Specimen thickness is a key factor affecting cryo-ET data quality. Cells that are too thick for transmission imaging can be thinned by cryo-focused-ion-beam (cryo-FIB) milling. However, optimal specimen thickness for cryo-ET on lamellae has not been systematically investigated. Furthermore, the ions used to ablate material can cause damage in the lamellae, thereby reducing STA resolution. Here, we systematically benchmark the resolution depending on lamella thickness and the depth of the particles within the sample. Up to ca. 180 nm, lamella thickness does not negatively impact resolution. This shows that there is no need to generate very thin lamellae and thickness can be chosen such that it captures major cellular features. Furthermore, we show that gallium-ion-induced damage extends to depths of up to 30 nm from either lamella surface.
Post-merger gravitational-wave signal from neutron-star binaries: a new look at an old problem
(2023)
The spectral properties of the post-merger gravitational-wave signal from a binary of neutron stars encodes a variety of information about the features of the system and of the equation of state describing matter around and above nuclear saturation density. Characterizing the properties of such a signal is an “old” problem, which first emerged when a number of frequencies were shown to be related to the properties of the binary through “quasiuniversal” relations. Here we take a new look at this old problem by computing the properties of the signal in terms of the Weyl scalar ψ4. In this way, and using a database of more than 100 simulations, we provide the first evidence for a new instantaneous frequency, y f0 4, associated with the instant of quasi-time-symmetry in the dynamics, and which also follows a quasi-universal relation. We also derive a new quasi-universal relation for the merger frequency f h mer, which provides a description of the data that is 4 times more accurate than previous expressions while requiring fewer fitting coefficients. Finally, consistent with the findings of numerous studies before ours, and using an enlarged ensemble of binary systems, we point out that the ℓ = 2, m = 1 gravitational-wave mode could become comparable with the traditional ℓ = 2, m = 2 mode on sufficiently long timescales, with strain amplitudes in a ratio |h21|/|h22| ∼ 0.1–1 under generic orientations of the binary, which could be measured by present detectors for signals with a large signal-to-noise ratio or by third-generation detectors for generic signals should no collapse occur.
Post-merger gravitational-wave signal from neutron-star binaries: a new look at an old problem
(2023)
The spectral properties of the post-merger gravitational-wave signal from a binary of neutron stars encodes a variety of information about the features of the system and of the equation of state describing matter around and above nuclear saturation density. Characterising the properties of such a signal is an “old” problem, which first emerged when a number of frequencies were shown to be related to the properties of the binary through “quasi-universal” relations. Here we take a new look at this old problem by computing the properties of the signal in terms of the Weyl scalar ψ4. In this way, and using a database of more than 100 simulations, we provide the first evidence for a new instantaneous frequency, f ψ4 0, associated with the instant of quasi timesymmetry in the postmerger dynamics, and which also follows a quasi-universal relation. We also derive a new quasi-universal relation for the merger frequency f h mer, which provides a description of the data that is four times more accurate than previous expressions while requiring fewer fitting coefficients. Finally, consistently with the findings of numerous studies before ours, and using an enlarged ensamble of binary systems we point out that the ℓ = 2, m = 1 gravitational-wave mode could become comparable with the traditional ℓ = 2, m = 2 mode on sufficiently long timescales, with strain amplitudes in a ratio |h 21|/|h 22| ∼ 0.1 − 1 under generic orientations of the binary, which could be measured by present detectors for signals with large signal-to-noise ratio or by third-generation detectors for generic signals should no collapse occur.
Im Rahmen dieser Arbeit wurde ein verbessertes Buncher-System für Hochfrequenzbeschleuniger mit niedrigem und mittlerem Ionenstrom entwickelt. Die entwickelte Methodik hat ermöglicht, ein effektives, vereinfachtes Buncher-System für die Injektion in HF-Beschleuniger wie RFQs, Zyklotrons, DTLs usw. zu entwerfen, welches kleine Ausgangsemittanzen und beträchtliche Strahltransmissionen erzielt. Um einen mono-energetischen und kontinuierlichen Strahl aus einer Ionenquelle für den Einschuss in eine Hochfrequenz-Beschleunigerstruktur anzupassen, wird eine Energiemodulation benötigt, die im weiteren Verlauf (Driftstrecke) zur Längsfokussierung des Strahls führt. Durch eine Sägezahnwellenform wird die ideale Energiemodulation aufgrund der linearen Abhängigkeit zwischen der Energie der Teilchen und ihren relativen Phasen erreicht. Dies ist jedoch technologisch nicht möglich, da Teilchenbeschleuniger Spannungsniveaus im Bereich kV bis 100 kV benötigen. Dagegen ist für eine solche Zielsetzung eine räumliche Trennung der sinusförmigen Anregung mit der Grundfrequenz und höheren Harmonischen möglich.
Daher wurde in dieser Arbeit ein verbesserter harmonischer Buncher, der sogenannte „Double Drift Harmonic Buncher - DDHB“ entwickelt, welcher zahlreiche Vorteile hat. Eine geringe longitudinale Emittanz sowie finanzielle Aspekte sprechen für diesen Lösungsansatz. Die Hauptelemente eines DDHB Systems sind zwei Kavitäten, die durch eine Driftlänge L1 getrennt sind, wobei der erste Resonator mit der Grundfrequenz bei -90° synchroner Phase und angelegter Spannung V1 und der zweite Resonator bei der zweiten harmonischen Frequenz mit +90 synchroner Phase und angelegter Spannung V2 betrieben werden. Schließlich ist eine zweite Drift L2 am Ende des Arrays für eine longitudinale Strahlfokussierung am Hauptbeschleunigereingang erforderlich. Somit erfüllt ein solcher Aufbau das angestrebte Ziel einer hohen Einfangseffizienz und einer kleinen longitudinalen Emittanz durch Anpassen der vier Designparameter V1, L1, V2 und L2.
Das Verständnis der Fokussierung, ausgehend von einem Gleichstromstrahl, einschließlich der Raumladungskräfte, ist einer der wesentlichen Bestandteile der Strahlphysik. Viele kommerzielle Codes bieten Simulationsmöglichkeiten in diesem Anwendungsbereich. Ihre Ansätze bleiben jedoch dem Anwender meist verborgen, oder es fehlen wichtige Details zur genauen Abbildung des vorliegenden Konzepts. Daher bestand eine Hauptaufgabe dieser Arbeit darin, einen speziellen Multi-Particle-Tracking-Beam-Dynamics-Code (BCDC) zu entwickeln, bei dem der Raumladungseffekt während des Bunch-Vorgangs, ausgehend von einem DC-Strahl berechnet wird. Der BCDC - Code enthält elementare Routinen wie Drift und Beschleunigungsspalt oder magnetische Linse für die transversale Strahlfokussierung und Raumladungsberechnungen unter Berücksichtigung der Auswirkungen der nächsten Nachbar-Bunche (NNB). Der Raumladungsalgorithmus in BCDC basiert auf einer direkten Coulomb- Gitter-Gitter-Wechselwirkung und Berechnungen des elektrischen Feldes durch Lokalisierung der Ladungsdichte auf einem kartesischen Gitter. Um Genauigkeit zu erreichen, werden die Feldberechnungen in Längsrichtung symmetrisch um das zentrale Bucket (βλ-Größe) erweitert, so dass das Simulationsfeld dreimal so groß ist. Die zentrale Teilchenverteilung wird dann nach jedem Schritt in die benachbarten Buckets kopiert. Anschließend werden die resultierenden Felder im Hauptgitterfeld neu berechnet, indem die elektrischen Felder im Hauptgitterfeld mit denen aus den benachbarten Regionen überlagert werden. Ohne diese Methode würde z. B. ein kontinuierlicher Strahl, welcher jedoch in der Simulation nur innerhalb einer Zelle der Länge βλ definiert ist, zu einer resultierenden Raumladungsfeldkomponente Ez an beiden Rändern der Zelle führen. Ein solches unphysikalisches Ergebnis konnte durch die Anwendung der NNB-Technik bereits weitgehend eliminiert werden. Zusätzlich zum NNB-Feature verfügt das BCDC über eine weitere Besonderheit nämlich die sogenannte Raumladungskompensation (SCC). Aufgrund der Ionisierung des Restgases kommt es entlang des Niederenergiestrahltransports zu einer teilweisen Raumladungskompensation, und zwar am und hinter dem Bunchersystem mit unterschiedlichen Prozentsätzen. Eines der Hauptziele des DDHB-Konzepts besteht darin, es für Hochstromstrahlanwendungen zu entwickeln. Dabei ermöglicht die teilweise Raumladungskompensation, dass das Design in der Praxis höhere Stromniveaus erreicht. Dadurch ist das BCDC-Programm ein leistungsstarkes Werkzeug für Simulationen in künftigen, stromstarken Projekten. Proof-of-Principle-Designs wurden in dieser Arbeit entwickelt.
Results on proton and Λ flow, calculated with the UrQMD model that incorporates different realistic density dependent equations of state, are presented. It is shown that the proton and hyperon flow shows sensitivity to the equation of state and especially to the appearance of a phase transition at densities below 4n0. Even though qualitatively hyperons and protons exhibit the same beam energy dependence of the flow, the quantitative results are different. In this context it is suggested that the hyperon measurements can be used to study the density dependence of the hyperon interaction in high density QCD matter.
In this thesis, we present a detailed consideration of both qualitative and quantitative properties of static spherically symmetric solutions of the Einstein equations with self-interacting scalar fields. Our focus is on solutions with naked singularities. We study the qualitative properties of the solutions of the Einstein equations with real static self-interacting $N$ scalar fields, making some assumptions on self-interaction. We provide a rigorous proof that the corresponding solutions will be regular up to $r=0$. Furthermore, we find the rigorous form of asymptotic solutions near the singularity and at spatial infinity. We construct some examples of spherical-like naked singularities at $r=r_s\neq0$ in curvature coordinates.
We analyze the stability of the previously considered solutions against odd-parity gravitational perturbations and also examine the fundamental quasi-normal modes spectra. For the general class of the self-interaction potential, we demonstrate well-posedness of the initial problem and stability for positively defined potentials. As an example, we numerically study the case of the scalar field with power-law self-interaction potential and find the fundamental quasi-normal modes frequencies. We demonstrate that they differ from the standard Schwarzschild black hole case.
We study in detail the motion of particles in the vicinity of previously considered solutions. Mainly, we are interested in considering properties of the distribution of stable circular orbits around the corresponding configurations and images of the accretion disk for a distant observer. For all cases, we find possible types of stable circular orbit distributions and domains of parameters where they are realized.
We also demonstrate that the presence of self-interaction can lead to a new type of circular orbit distributions, which is absent in the linear massless scalar field case. We build Keplerian disk images in the plane of a distant observer and demonstrate the possibility to mimic the shadows of black holes.
Under temperature or pressure tuning, tetragonal EuPd2Si2 is known to undergo a valence transition from nearly divalent to nearly trivalent Eu accompanied by a volume reduction. Albeit intensive work, its microscopic origin is still being discussed. Here, we investigate the mechanism of the valence transition under volume compression by ab initio density functional theory (DFT) calculations. Our analysis of the electronic and magnetic properties of EuPd2Si2 when approaching the valence transition shows an enhanced c-f hybridization between localized Eu 4f states and itinerant conduction states (Eu 5d, Pd 4d, and Si 3p) where an electronic charge redistribution takes place. We observe that the change in the electronic structure is intimately related to the volume reduction where Eu-Pd(Si) bond lengths shorten and, for the transition to happen, we trace the delicate balance between electronic bandwidth, crystal field splitting, Coulomb repulsion, Hund's coupling and spin-orbit coupling. In a next step we compare and benchmark our DFT results to surface-sensitive photoemission data in which the mixed-valent properties of EuPd2Si2 are reflected in a simultaneous observation of divalent and trivalent signals from the Eu 4f shell. The study serves as well to explore the limits of density functional theory and the choice of exchange correlation functionals to describe such a phenomenon as a valence transition.
We introduce a novel technique that utilizes a physics-driven deep learning method to reconstruct the dense matter equation of state from neutron star observables, particularly the masses and radii. The proposed framework involves two neural networks: one to optimize the EoS using Automatic Differentiation in the unsupervised learning scheme; and a pre-trained network to solve the Tolman–Oppenheimer–Volkoff (TOV) equations. The gradient-based optimization process incorporates a Bayesian picture into the proposed framework. The reconstructed EoS is proven to be consistent with the results from conventional methods. Furthermore, the resulting tidal deformation is in agreement with the limits obtained from the gravitational wave event, GW170817.
The equation of state (EoS) of matter at extremely high temperatures and densities is currently not fully understood, and remains a major challenge in the field of nuclear physics. Neutron stars harbor such extreme conditions and therefore serve as celestial laboratories for constraining the dense matter EoS. In this thesis, we present a novel algorithm that utilizes the idea of Bayesian analysis and the computational efficiency of neural networks to reconstruct the dense matter equation of state from mass-radius observations of neutron stars. We show that the results are compatible with those from earlier works based on conventional methods, and are in agreement with the limits on tidal deformabilities obtained from the gravitational wave event, GW170817. We also observe that the resulting squared speed of sound from the reconstructed EoS features a peak, indicating a likely convergence to the conformal limit at asymptotic densities, as expected from quantum chromodynamics. The novel algorithm can also be applied across various fields faced with computational challenges in solving inverse problems. We further examine the efficiency of deep learning methods for analyzing gravitational waves from compact binary coalescences in this thesis. In particular, we develop a deep learning classifier to segregate simulated gravitational wave data into three classes: signals from binary black hole mergers, signals from binary neutron star mergers, or white noise without any signals. A second deep learning algorithm allows for the regression of chirp mass and combined tidal deformability from simulated binary neutron star mergers. An accurate estimation of these parameters is crucial to constrain the underlying EoS. Lastly, we explore the effects of finite temperatures on the binary neutron star merger remnant from GW170817. Isentropic EoSs are used to infer the frequencies of the rigidly rotating remnant and are noted to be significantly lower compared to previous estimates from zero temperature EoSs. Overall, this thesis presents novel deep learning methods to constrain the neutron star EoS, which will prove useful in future, as more observational data is expected in the upcoming years.
We study equilibrium as well as out-of-equilibrium properties of the strongly interacting QGP medium under extreme conditions of high temperature T and high baryon densities or baryon chemical potentials μB within a kinetic approach. We present the thermodynamic and transport properties of the QGP close to equilibrium in the framework of effective models with Nf=3 active quark flavours such as the Polyakov extended Nambu-Jona Lasinio (PNJL) and dynamical quasiparticle model with the CEP (DQPM-CP). Considering the transport coefficients and the EoS of the QGP phase, we compare our results with various results from the literature. Furthermore, out-of equilibrium properties of the QGP medium and in particular, the effect of a μB- dependence of thermodynamic and transport properties of the QGP are studied within the Parton-Hadron-String-Dynamics (PHSD) transport approach, which covers the full evolution of the system during HICs. We find that bulk observables and flow coefficients for strange hadrons as well as for antiprotons are more sensitive to the properties of the QGP, in particular to the μB - dependence of the QGP interactions.
RuO2: a puzzle to be solved
(2023)
Altermagnetism is a topic that has lately been gaining attention and the RuO2 compound is among one of the most studied altermagnetic candidates. However, the survey of available literature on RuO2 properties suggests that there is no consensus about the magnetism of this material. By performing density functional theory calculations, we show that the electronic properties of stoichiometric RuO2 are described in terms of a smaller Hubbard U within DFT+U than the value required to have magnetism. We further argue that Ru vacancies can actually aid the formation of a magnetic state in RuO2. This in turn suggests that a characterization of the amount of Ru vacancies in experimental samples might help the resolution of the controversy between the different experimental results.
We study the production of the light JPC=1−+ hybrid isoscalars η1′(1855) and the yet undiscovered η1(1660) as intermediate states in the radiative decays of the charmonium (J/ψ) to two conventional mesons using a flavor symmetric Lagrangian. For this purpose, we use the J/ψ→γη1′(1855)→γηη′ process as the reference. We find that some of the decay channels have branching ratios similar to or larger than that of the γηη′ channel and are sensitive to the mixing between the hybrid isoscalars. We propose that relatively stable γηf1(1285) channel be explored for the presence of the light hybrid isoscalar η1hyb(1660). We also exploit the strong decay channels containing at least one vector meson to study the radiative decays of the whole hybrid nonet {π1(1600),K1hyb(1750),η1hyb(1660),η1′(1855)}. We find that the hybrids cannot radiatively decay into the I=0 pseudoscalars. Furthermore, the vector decay channels ((ρ/ω/ϕ)γ) of the hybrid isoscalars are sensitive to the strangeness content of the hybrids. We also provide estimates for the branching fractions for the radiative production and partial widths for the radiative decays of the hybrids.
In this thesis, we use lattice QCD to study a part of the QCD phase diagram, specifically the QCD phase transition at mu=0, where the QCD matter changes from hadron gas to quark-gluon plasma (QGP) with increasing temperature.
This phase transition takes place as a crossover, but when theoretically changing the masses of the quarks, the order of the phase transition changes as well.
We focus on the region of heavy quark masses with Nf=2 flavours, where we investigate the critical quark mass at the second order phase transition in the form of a Z2 point between the first-order and the crossover region.
The first-order region is positioned at infinitely heavy quarks. As the quark masses decrease, the associated Z3 centre symmetry breaks explicitly, causing the first-order phase transition to weaken until it turns into the Z2 point and finally into a crossover.
We study this Z2 point using simulations at Nf=2 and lattices of the sizes Nt = {6, 8, 10, 12}, partially building on previous work, in which the simulations for Nt = {6, 8, 10} were started.
The simulations for Nt=12 are not finished yet though, but we were able to draw some preliminary conclusions. These simulations are run on GPUs and CPUs, using the codes Cl2QCD and open-QCD-FASTSUM, respectively. Afterwards, the data goes through a first analysis step in the form of the Python program PLASMA, preparing it for the two techniques we use to analyse the nature of the phase transition.
As a first, reliable analysis method, we perform a finite size scaling analysis of the data to find the location of the Z2 point. Since we are using lattice QCD, performing a continuum extrapolation is necessary to reach the continuum result.
In regard to this, the finite size scaling analysis method is hampered by the excessive amount of simulated data that is needed regarding statistics and the total number of simulations, which is why this thesis is only an intermediate step towards the continuum limit.
This also leads to the second analysis technique we explore in this thesis.
We start to design a Landau theory which describes the phase boundary for heavy masses at Nf=2 based on the simulated data.
We develop a Landau functional for every Nt we have simulation data for.
Albeit the results are not at the same precision as the ones from the finite size scaling analysis, we are able to reproduce the position of the Z2 point for every Nt.
Even though we are not able to take a continuum extrapolation right now, after more development takes place in future works, this approach might, in the long run, lead to a continuum result that won't need as many simulations as the finite size scaling analysis.
Hadron lists based on experimental studies summarized by the Particle Data Group (PDG) are a crucial input for the equation of state and thermal models used in the study of strongly-interacting matter produced in heavy-ion collisions. Modeling of these strongly-interacting systems is carried out via hydrodynamical simulations, which are followed by hadronic transport codes that also require a hadronic list as input. To remain consistent throughout the different stages of modeling of a heavy-ion collision, the same hadron list with its corresponding decays must be used at each step. It has been shown that even the most uncertain states listed in the PDG from 2016 are required to reproduce partial pressures and susceptibilities from Lattice Quantum Chromodynamics with the hadronic list known as the PDG2016+. Here, we update the hadronic list for use in heavy-ion collision modeling by including the latest experimental information for all states listed in the Particle Data Booklet in 2021. We then compare our new list, called PDG2021+, to Lattice Quantum Chromodynamics results and find that it achieves even better agreement with the first principles calculations than the PDG2016+ list. Furthermore, we develop a novel scheme based on intermediate decay channels that allows for only binary decays, such that PDG2021+ will be compatible with the hadronic transport framework SMASH. Finally, we use these results to make comparisons to experimental data and discuss the impact on particle yields and spectra.
Precise tune determination and split beam emittance reconstruction at the CERN PS synchrotron
(2023)
In accelerator physics, the need to improve the performance and better control the operating point of an accelerator has become, year after year, an increasingly important need in order to achieve higher energies and brightness, as well as point-like particle beams. If this involves increasingly advanced technological developments (in terms, for example, of materials for more intense superconducting magnets), it can not take place in the absence of targeted studies of linear and non-linear beam dynamics. In the context of this Ph.D. thesis in physics, linear and non-linear dynamics of charged particles in circular accelerators is the topic that will be discussed and treated in detail. In particular, the presentation and discussion of the results will be divided in two main topics: the need to know the physical properties of a proton beam; and the development of innovative methods to determine and study the accelerator’s working point. With regard to the first topic, an innovative procedure will be presented to determine the transverse size of the PS beam in the beam extraction phase. Among the different ways the extraction occurs at the PS, the analysed one is based on the transverse splitting of the beam by means of non-linear fields. Thus, the knowledge of the transverse beam size is not trivial since resonant linear and non-linear beam structures (namely, core and islands) arise and, for each of them, the beam size has to be quantified. This parameter is crucial for two main reasons: the accelerator that will receive the beam exiting the upstream accelerator may have restrictions (physical or magnetic) that involve a partial or total loss of the incoming beam; and any experiments located downstream of the considered accelerator may need a beam with a transversal size as constant as possible; consequently, its monitoring and control are essential. The second topic concerns the accurate determination of the working point of an accelerator, defined as the number of transverse oscillations the particle beam travels per unit of accelerator circumference, both horizontally and vertically. This quantity is called horizontal and vertical tune, respectively. Their knowledge is also crucial to understand whether the beam will be stable or unstable. In fact, not all tune values are acceptable, as there are particular values that bring the beam into resonance. In this configuration, the amplitude of the transverse oscillations of the particles increases in an uncontrolled manner and leads to the loss of all or part of the beam. Note that, in particular operating conditions, the resonant conditions are sought and desired to model, in a suitable way, the transversal shape of the beam, such as the above mentioned PS extraction scheme. It is even clearer how much the determination of the machine working point is essential to determine the operating conditions of an accelerator. In this context, several methods (also taken from the field of applied mathematics) to calculate the tune will be demonstrated and tested numerically on different types of synthetic signals. At the end of this description, the use of experimental data will allow to obtain the benchmark of a new method for the direct calculation of some characteristic quantities of non-linear beam dynamics (namely, the amplitude detuning, i.e. the variation of tune as a function of intensity of the perturbation provided to the beam.
Human feline leukemia virus subgroup C receptor-related proteins 1 and 2 (FLVCR1 and 2) are members of the major facilitator superfamily1. Their dysfunction is linked to several clinical disorders, including PCARP, HSAN, and Fowler syndrome2–7. Earlier studies concluded that FLVCR1 may function as a putative heme exporter8–12, while FLVCR2 was suggested to act as a heme importer13, yet conclusive biochemical and detailed molecular evidence remained elusive for the function of both transporters14–17. Here, we show that FLVCR1 and FLVCR2 facilitate the transport of choline and ethanolamine across human plasma membranes, utilizing a concentration-driven substrate translocation process. Through structural and computational analyses, we have identified distinct conformational states of FLVCRs and unraveled the coordination chemistry underlying their substrate interactions. Within the binding pocket of both transporters, we identify fully conserved tryptophan and tyrosine residues holding a central role in the formation of cation-π interactions, essential for choline and ethanolamine selectivity. Our findings not only clarify the mechanisms of choline and ethanolamine transport by FLVCR1 and FLVCR2, enhancing our comprehension of disease-associated mutations that interfere with these vital processes, but also shed light on the conformational dynamics of these MFS-type proteins during the transport cycle.
Prediction for hyper nuclei multiplicities from GSI to LHC energies from the Ultra-relativistic Quantum Molecular Dynamics (UrQMD) model combined with a final state coalescence approach is presented and compared to the thermal model. The influence of the coalescence radius on the collision energy and centrality dependence of the Λ3H/ΛΛ3H/Λ ratio is discussed.
We investigate the development of the directed, v1, and elliptic flow, v2, in heavy ion collisions in mid-central Au+Au reactions at Elab=1.23A GeV. We demonstrate that the elliptic flow of hot and dense matter is initially positive (v2>0) due to the early pressure gradient. This positive v2 transfers its momentum to the spectators, which leads to the creation of the directed flow v1. In turn, the spectator shadowing of the in-plane expansion leads to a preferred decoupling of hadrons in the out-of-plane direction and results in a negative v2 for the observable final state hadrons. We propose a measurement of v1−v2 flow correlations and of the elliptic flow of dileptons as methods to pin down this evolution pattern. The elliptic flow of the dileptons allows then to determine the early-state EoS more precisely, because it avoids the strong modifications of the momentum distribution due to shadowing seen in the protons. This opens the unique opportunity for the HADES and CBM collaborations to measure the Equation-of-State directly at 2-3 times nuclear saturation density.
Motivated by recent reports of a quantum-disordered ground state in the triangular lattice compound NaRuO2, we derive a jeff = 1/2 magnetic model for this system by means of first-principles calculations. The pseudospin Hamiltonian is dominated by bond-dependent off-diagonal Γ interactions, complemented by a ferromagnetic Heisenberg exchange and a notably antiferromagnetic Kitaev term. In addition to bilinear interactions, we find a sizable four-spin ring exchange contribution with a strongly anisotropic character, which has been so far overlooked when modeling Kitaev materials. The analysis of the magnetic model, based on the minimization of the classical energy and exact diagonalization of the quantum Hamiltonian, points toward the existence of a rather robust easy-plane ferromagnetic order, which cannot be easily destabilized by physically relevant perturbations.
In magic angle twisted bilayer graphene, transport, thermodynamic and spectroscopic experiments pinpoint at a competition between distinct low-energy states with and without electronic order, as well as a competition between localized and delocalized charge carriers. In this study, we utilize Dynamical Mean Field Theory (DMFT) on the topological heavy Fermion (THF) model of twisted bilayer graphene to investigate the emergence of electronic correlations and long-range order in the absence of strain. We explain the nature of emergent insulating and correlated metallic states, as well as transitions between them driven by three central phenomena: (i) the formation of local spin and valley isospin moments around 100K, (ii) the ordering of the local isospin moments around 10K, and (iii) a cascadic redistribution of charge between localized and delocalized electronic states upon doping. At integer fillings, we find that low energy spectral weight is depleted in the symmetric phase, while we find insulating states with gaps enhanced by exchange coupling in the zero-strain ordered phases. Doping away from integer filling results in distinct metallic states: a "bad metal" above the ordering temperature, where coherence of the low-energy electronic excitations is suppressed by scattering off the disordered local moments, and a "good metal" in the ordered states with coherence of quasiparticles facilitated by isospin order. Upon doping, there is charge transfer between the localized and delocalized orbitals of the THF model such that they get periodically filled and emptied in between integer fillings. This charge reshuffling manifests itself in cascades of doping-induced Lifshitz transitions, local spectral weight redistributions and periodic variations of the electronic compressibility ranging from nearly incompressible to negative.
In the framework of the LHC Injectors Upgrade Project (LIU), the CERN Proton Synchrotron Booster (PSB) went through major upgrades resulting in new effects to study, challenges to overcome and new parameter regimes to explore. To assess the achievable beam brightness limit of the machine, a series of experimental and computational studies in the transverse planes were performed. In particular, the new injection scheme induces optics perturbations that are strongly enhanced near the half-integer resonance. In this thesis, methods for dynamically measuring and correcting these perturbations and their impact on the beam performance will be presented. Additionally, the quality of the transverse beam distributions and strategies for improvement will be addressed. Finally, the space charge effects when dynamically crossing the half-integer resonance will be characterized. The results of these studies and their broader significance beyond the PSB will be discussed.
Subensemble is a type of statistical ensemble which is the generalization of grand canonical and canonical ensembles. The subensemble acceptance method (SAM) provides general formulas to correct the cumulants of distributions in heavy-ion collisions for the global conservation of all QCD charges. The method is applicable for an arbitrary equation of state and sufficiently large systems, such as those created in central collisions of heavy ions. The new fluctuation measures insensitive to global conservation effects are presented. The main results are illustrated in the hadron resonance gas and van der Waals fluid frameworks.
Lattice QCD and functional methods are making significant progress in constraining the QCD phase diagram. As an important milestone, the chiral phase transition with massless u, d-quarks at zero density is now understood to be of second order for all strange quark masses, and a smooth crossover as soon as mu,d, ≠ 0. Together with information on fluctuations and refined reweighted simulations, this bounds a possible critical point to be at µB/T ≲3. On the other hand, an approximately chiral-spin symmetric temperature window has been discovered above the chiral crossover, Tch<T ≳3Tch, with distinct correlator multiplet patterns and a pion spectral function suggesting resonance-like degrees of freedom, which dissolve graduallly with temperature.
We show the absence of an instability of homogeneous (chiral) condensates against spatially inhomogeneous perturbations for various 2+1-dimensional four-fermion and Yukawa models. All models are studied at non-zero baryon chemical potential, while some of them are also subjected to chiral and isospin chemical potential. The considered theories contain up to 16 Lorentz-(pseudo)scalar fermionic interaction channels. We prove the stability of homogeneous condensates by analyzing the bosonic two-point function, which can be expressed in a purely analytical form at zero temperature. Our analysis is presented in a general manner for all of the different discussed models. We argue that the absence of an inhomogeneous chiral phase (where the chiral condensate is spatially non-uniform) follows from this lack of instability. Furthermore, the existence of a moat regime, where the bosonic wave function renormalization is negative, in these models is ruled out.
We show the absence of an instability of homogeneous (chiral) condensates against spatially inhomogeneous perturbations for various 2+1-dimensional four-fermion and Yukawa models. All models are studied at non-zero baryon chemical potential, while some of them are also subjected to chiral and isospin chemical potential. The considered theories contain up to 16 Lorentz-(pseudo)scalar fermionic interaction channels. We prove the stability of homogeneous condensates by analyzing the bosonic two-point function, which can be expressed in a purely analytical form at zero temperature. Our analysis is presented in a general manner for all of the different discussed models. We argue that the absence of an inhomogeneous chiral phase (where the chiral condensate is spatially non-uniform) follows from this lack of instability. Furthermore, the existence of a moat regime, where the bosonic wave function renormalization is negative, in these models is ruled out.
We show the absence of an instability of homogeneous (chiral) condensates against spatially inhomogeneous perturbations for various (2+1)-dimensional four-fermion and Yukawa models. All models are studied at nonzero baryon chemical potential, while some of them are also subjected to chiral and isospin chemical potential. The considered theories contain up to 16 Lorentz-(pseudo)scalar fermionic interaction channels. We prove the stability of homogeneous condensates by analyzing the bosonic two-point function, which can be expressed in a purely analytical form at zero temperature. Our analysis is presented in a general manner for all of the different discussed models. We argue that the absence of an inhomogeneous chiral phase (where the chiral condensate is spatially nonuniform) follows from this lack of instability. Furthermore, the existence of a moat regime, where the bosonic wave-function renormalization is negative, in these models is ruled out.
In this work we study the 3+1-dimensional Nambu-Jona-Lasinio (NJL) model in the mean field-approximation. We carry out calculations using five different regularization schemes (two continuum and three lattice regularization schemes) with particular focus on inhomogeneous phases and condensates. The regularization schemes lead to drastically different inhomogeneous regions. We provide evidence that inhomogeneous condensates appear for all regularization schemes almost exclusively at values of the chemical potential and with wave numbers, which are of the order of or even larger than the corresponding regulators. This can be interpreted as indication that inhomogeneous phases in the 3+1-dimensional NJL model are rather artifacts of the regularization and not a consequence of the NJL Lagrangian and its symmetries.
This thesis investigates exotic phases within effective models for strongly interacting matter.
The focus lies on the chiral inhomogeneous phase (IP) that is characterized by a spontaneous breaking of translational symmetry and the moat regime, which is a precursor phenomenon exhibiting a non-trivial mesonic dispersion relation.
These phenomena are expected to occur at non-zero baryon densities, which is a parameter region that is mostly non-accessible to first-principle investigations of Quantum chromodynamics (QCD).
As an alternative approach, we consider the Gross-Neveu (GN) and Nambu-Jona-Lasinio (NJL) model within the mean-field approximation, which can be regarded as effective models for QCD.
We focus on two aspects of the moat regime and the IP in these models.
First, we investigate the influence of the employed regularization scheme in the (3+1)-dimensional NJL model, which is nonrenormalizable, i.e., the regulator cannot be removed.
We find that the moat regime is a robust feature under change of regularization scheme, while the IP is sensitive to the specific choice of scheme.
This suggests that the moat regime is a universal feature of the phase diagram of the NJL model, while the IP might only be an artifact of the employed regulator.
Second, we study the influence of the number of spatial dimensions on the emergence of the IP.
To this end, we investigate the GN model in noninteger spatial dimensions d.
We find that the IP and the moat regime are present for d < 2, while they are absent for d > 2.
This demonstrates the central role of the dimensionality of spacetime and illustrates the connection of previously obtained results in this model in integer number of spatial dimensions.
Moreover, this suggests that the occurrence of these phenomena in three spatial dimensions is solely caused by the finite regulator.
In summary, this thesis contributes to advancing our understanding of the phase structure of QCD, particularly regarding the existence and characteristics of inhomogeneous phases and the moat regime.
Even though the investigations are performed within effective models, they provide valuable insight into the aspects that are crucial for the formation of an inhomogeneous chiral condensate in fermionic theories.
Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions 1 ≤ d < 3
(2023)
The Gross-Neveu model in the N→∞ approximation in d=1 spatial dimensions exhibits a chiral inhomogeneous phase (IP), where the chiral condensate has a spatial dependence that spontaneously breaks translational invariance and the Z2 chiral symmetry. This phase is absent in d=2, while in d=3 its existence and extent strongly depends on the regularization and the value of the finite regulator. This work connects these three results smoothly by extending the analysis to non-integer spatial dimensions 1≤d<3, where the model is fully renormalizable. To this end, we adapt the stability analysis, which probes the stability of the homogeneous ground state under inhomogeneous perturbations, to non-integer spatial dimensions. We find that the IP is present for all d<2 and vanishes exactly at d=2. Moreover, we find no instability towards an IP for 2≤d<3, which suggests that the IP in d=3 is solely generated by the presence of a regulator.
Inhomogeneous condensation in the Gross-Neveu model in non-integer spatial dimensions 1 ≤ d < 3
(2023)
he Gross-Neveu model in the N→∞ approximation in d=1 spatial dimensions exhibits a chiral inhomogeneous phase (IP), where the chiral condensate has a spatial dependence that spontaneously breaks translational invariance and the Z2 chiral symmetry. This phase is absent in d=2, while in d=3 its existence and extent strongly depends on the regularization and the value of the finite regulator. This work connects these three results smoothly by extending the analysis to non-integer spatial dimensions 1≤d<3, where the model is fully renormalizable. To this end, we adapt the stability analysis, which probes the stability of the homogeneous ground state under inhomogeneous perturbations, to non-integer spatial dimensions. We find that the IP is present for all d<2 and vanishes exactly at d=2. Moreover, we find no instability towards an IP for 2≤d<3, which suggests that the IP in d=3 is solely generated by the presence of a regulator.
Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions 1 ≤ d < 3
(2023)
The Gross-Neveu model in the N→∞ limit in d=1 spatial dimensions exhibits a chiral inhomogeneous phase (IP), where the chiral condensate has a spatial dependence that spontaneously breaks translational invariance and the Z2 chiral symmetry. This phase is absent in d=2, while in d=3 its existence and extent strongly depends on the regularization and the value of the finite regulator. This work connects these three results smoothly by extending the analysis to noninteger spatial dimensions 1≤d<3, where the model is fully renormalizable. To this end, we adapt the stability analysis, which probes the stability of the homogeneous ground state under inhomogeneous perturbations, to noninteger spatial dimensions. We find that the IP is present for all d<2 and vanishes exactly at d=2. Moreover, we find no instability toward an IP for 2≤d<3, which suggests that the IP in d=3 is solely generated by the presence of a regulator.
Presolar grain isotopic ratios as constraints to nuclear physics inputs for s-process calculations
(2023)
The isotopic abundances in presolar SiC grains of AGB origin provide important and precise constraints to those star nucleosynthesis models. By comparing the values of the s-element abundances resulting from calculations with the ones measured in these dust grains, it turns out that new measurements of weak-interaction rates in ionized plasmas, as well as of neutron-capture cross sections, are needed, especially in the region near the neutron magic numbers 50 and 82.
Strontium ruthenate Sr2RuO4 is an unconventional superconductor whose pairing symmetry has not been fully clarified, despite more than two decades of intensive research. Recent NMR Knight shift experiments have rekindled the Sr2RuO4 pairing debate by giving strong evidence against all odd-parity pairing states, including chiral p-wave pairing that was for a long time the leading pairing candidate. Here, we exclude additional pairing states by analyzing recent elastocaloric measurements [YS. Li et al., Nature 607, 276--280 (2022)]. To be able to explain the elastocaloric experiment, we find that unconventional even-parity pairings must include either large dx2−y2-wave or large {dxz∣dyz}-wave admixtures, where the latter possibility arises because of the body-centered point group symmetry. These {dxz∣dyz}-wave admixtures take the form of distinctively body-centered-periodic harmonics that have horizontal line nodes. Hence gxy(x2−y2)-wave and dxy-wave pairings are excluded as possible dominant even pairing states.
Strontium ruthenate Sr2RuO4 is an unconventional superconductor whose pairing symmetry has not been fully clarified, despite more than two decades of intensive research. Recent NMR Knight shift experiments have rekindled the Sr2RuO4 pairing debate by giving strong evidence against all odd-parity pairing states, including chiral p-wave pairing that was for a long time the leading pairing candidate. Here, we exclude additional pairing states by analyzing recent elastocaloric measurements [YS. Li et al., Nature 607, 276--280 (2022)]. To be able to explain the elastocaloric experiment, we find that unconventional even-parity pairings must include either large dx2−y2-wave or large {dxz∣dyz}-wave admixtures, where the latter possibility arises because of the body-centered point group symmetry. These {dxz∣dyz}-wave admixtures take the form of distinctively body-centered-periodic harmonics that have horizontal line nodes. Hence gxy(x2−y2)-wave and dxy-wave pairings are excluded as possible dominant even pairing states.
Molecular mechanisms of inorganic-phosphate release from the core and barbed end of actin filaments
(2023)
The release of inorganic phosphate (Pi) from actin filaments constitutes a key step in their regulated turnover, which is fundamental to many cellular functions. However, the molecular mechanisms underlying Pi release from both the core and barbed end of actin filaments remain unclear. Here, we combine cryo-EM with molecular dynamics simulations and in vitro reconstitution to demonstrate how actin releases Pi through a ‘molecular backdoor’. While constantly open at the barbed end, the backdoor is predominantly closed in filament-core subunits and only opens transiently through concerted backbone movements and rotameric rearrangements of residues close to the nucleotide binding pocket. This mechanism explains why Pi escapes rapidly from the filament end and yet slowly from internal actin subunits. In an actin variant associated with nemaline myopathy, the backdoor is predominantly open in filament-core subunits, resulting in greatly accelerated Pi release after polymerization and filaments with drastically shortened ADP-Pi caps. This demonstrates that the Pi release rate from F-actin is controlled by steric hindrance through the backdoor rather than by the disruption of the ionic bond between Pi and Mg2+ at the nucleotide-binding site. Our results provide the molecular basis for Pi release from actin and exemplify how a single, disease-linked point mutation distorts the nucleotide state distribution and atomic structure of the actin filament.
Artificial intelligence in heavy-ion collisions : bridging the gap between theory and experiments
(2023)
Artificial Intelligence (AI) methods are employed to study heavy-ion collisions at intermediate collision energies, where high baryon density and moderate temperature QCD matter is produced. The experimental measurements of various conventional observables such as collective flow, particle number fluctuations, etc. are usually compared with expensive model calculations to infer the physics governing the evolution of the matter produced in the collisions. Various experimental effects and processing algorithms can greatly affect the sensitivity of these observables. AI methods are used to bridge this gap between theory and experiments of heavy-ion collisions. The problems with conventional methods of analyzing experimental data are illustrated in a comparative study of the Glauber MC model and the UrQMD transport model. It is found that the centrality determination and the estimated fluctuations of the number of participant nucleons suffer from strong model dependencies for Au-Au collisions at 1.23 AGeV. This can bias the results of the experimental analysis if the number of participant nucleons used is not consistent throughout the analysis and in the final model-to-data comparison. The measurable consequences of this model dependence of the number of participant nucleons are also discussed. In this context, PointNet-based AI models are developed to accurately reconstruct the impact parameter or the number of participant nucleons in a collision event from the hits and/or reconstructed track of particles in 10 AGeV Au-Au collisions at the CBM experiment. In the last part of the thesis, different AI methods to study the equation of state (EoS) at high baryon densities are discussed. First, a Bayesian inference is performed to constrain the density dependence of the EoS from the available experimental measurements of elliptical flow and mean transverse kinetic energy of mid rapidity protons in intermediate energy collisions. The UrQMD model was augmented to include arbitrary potentials (or equivalently the EoSs) in the QMD part to provide a consistent treatment of the EoS throughout the evolution of the system. The experimental data constrain the posterior constructed for the EoS for densities up to four times saturation density. However, beyond three times saturation density, the shape of the posterior depends on the choice of observables used. There is a tension in the measurements at a collision energy of about 4 GeV. This could indicate large uncertainties in the measurements, or alternatively the inability of the underlying model to describe the observables with a given input EoS. Tighter constraints and fully conclusive statements on the EoS require accurate, high statistics data in the whole beam energy range of 2-10 GeV, which will hopefully be provided by the beam energy scan programme of STAR-FXT at RHIC, the upcoming CBM experiment at FAIR, and future experiments at HIAF and NICA. Finally, it is shown that the PointNet-based models can also be used to identify the equation of state in the CBM experiment. Despite the uncertainties due to limited detector acceptance and biases in the reconstruction algorithms, the PointNet-based models are able to learn the features that can accurately identify the underlying physics of the collision. The PointNet-based models are an ideal AI tool to study heavy-ion collisions, not only to identify the geometric event features, such as the impact parameter or the number of participant nucleons, but also to extract abstract physical features, such as the EoS, directly from the detector outputs.
A considerable effort has been dedicated recently to the construction of generic equations of state (EOSs) for matter in neutron stars. The advantage of these approaches is that they can provide model-independent information on the interior structure and global properties of neutron stars. Making use of more than 106 generic EOSs, we asses the validity of quasi-universal relations of neutron star properties for a broad range of rotation rates, from slow-rotation up to the mass-shedding limit. In this way, we are able to determine with unprecedented accuracy the quasi-universal maximum-mass ratio between rotating and nonrotating stars and reveal the existence of a new relation for the surface oblateness, i.e., the ratio between the polar and equatorial proper radii. We discuss the impact that our findings have on the imminent detection of new binary neutron-star mergers and how they can be used to set new and more stringent limits on the maximum mass of nonrotating neutron stars, as well as to improve the modelling of the X-ray emission from the surface of rotating stars.
The existence of bound states induced by local impurities coupled to an insulating host depends decisively on the global topological properties of the host's electronic structure. In this context, we consider magnetic impurities modelled as classical unit-length spins that are exchange-coupled to the spinful Haldane model on the honeycomb lattice. We investigate the spectral flow of bound states with the coupling strength J in both the topologically trivial and Chern-insulating phases. In addition to conventional k-space topology, an additional, spatially local topological feature is available, based on the space of impurity-spin configurations forming, in case of R impurities, an R-fold direct product of two-dimensional spheres. Global k-space and local S-space topology are represented by different topological invariants, the first (k-space) Chern number and the R-th (S-space) spin-Chern number. We demonstrate that there is a local S-space topological transition as a function of J associated with a change in the spin Chern number and work out the implications of this for the J-dependent local electronic structure close to the impurities and, in particular, for in-gap bound states. The critical exchange couplings' dependence on the parameters of the Haldane model, and thus on the k-space topological state, is obtained numerically to construct local topological phase diagrams for systems with R=1 and R=2 impurity spins.
Am Teilchenbeschleuniger in Darmstadt werden die extremen Bedingungen unseres Universums im Labor erforscht. Dabei gelang es den Physikerinnen und Physikern, eine Technologie zu entwickeln, die Energie zur Teilchenbeschleunigung wiederverwendet und einspart. Der Teilchenbeschleuniger ist eingebunden in das Clusterprojekt ELEMENTS, das gemeinsam von der Goethe-Universität Frankfurt und der TU Darmstadt geleitet wird.
Im Clusterprojekt ELEMENTS arbeiten Physiker*innen verschiedenster Fachgebiete eng mit einander zusammen, um die Entstehung schwerer Elemente im Universum zu erforschen. Nur durch diese interdisziplinäre Kollaboration kann das komplexe Zusammenspiel mikroskopischer und makroskopischer Ereignisse entschlüsselt werden. Dabei bilden Theorie, Experiment und Beobachtung die drei großen Pfeiler des Forschungsvorhabens.
Experiments on Vibrational Energy Transfer (VET) in proteins contribute to our understanding of fundamental biological processes such as allostery, dissipation of excess energy, and possibly enzymatic catalysis. While these processes have been studied for a long time, many questions remain unanswered. The aim of this work was to expand the application of existing spectroscopic techniques to investigate VET, seeking tailored solutions for the diversity of proteins and amino acid environments. Additionally, new target proteins were to be established to broaden the spectrum of VET experiments towards the role of VET and low-frequency protein modes (LFMs).
To test their suitability as VET sensors, the non-canonical amino acids (ncAAs) Azidoalanine (N3Ala), azido-L-Homoalanine (Aha), p-azido-Phenylalanine (N3Phe), p-cyano-Phenylalanine (CNPhe), and 4-cyano-Tryptophan (CNTrp) were coupled to the VET donor β-(1-azulenyl)-L-Alanine (AzAla) in dipeptides. Their spectral properties were compared using FTIR and VET spectra in H2O, dimethyl sulfoxide, and tetrahydrofuran.
The solvent strongly influences the measured VET signals, which can be explained by the direct interaction of the solvent with the dipeptides. Additionally, the peak time within the subgroups of azide and nitrile sensors increased with the size of the side chain, indicating the dependence between peak time and the distance between VET donor and sensor. When incorporated into a protein, solvent interactions are less dominant. Therefore, Aha, N3Phe, and CNPhe were additionally incorporated at two different positions in the PDZ protein domain and investigated. Due to Fermi resonances, signals from azide sensors are challenging to predict, unlike those of the nitrile sensors.
Overall, the experiments showed that nitrile groups can serve well as VET sensors, as their lower extinction coefficient is compensated for by a narrower bandwidth. This expands the number of potential target proteins, and sensor incorporation can be less disruptive at various protein locations.
Since the VET donor AzAla can inject the energy of a photon into a protein as vibrational energy at a specific location, it can also be used for the targeted excitation of LFMs. If these modes are involved in an enzymatic reaction, a direct influence on activity is expected. This hypothesis has long existed but has not been definitively verified. Some studies have found evidence for the involvement of LFMs in formate dehydrogenase (FDH) catalysis. Therefore, FDH was chosen for the investigation of LFMs in enzymes. This specific system additionally allows the use of a natural VET sensor: it forms a stable complex with NAD+ and N3-, an excellent IR marker. Thus, it provided the opportunity to test low-molecular-weight non-covalent ligands as VET sensors.
After ensuring sufficient AzAla supply through the internal establishment of an enzymatic synthesis, AzAla could be incorporated at various positions in FDH. Despite spectral overlap between free and bound N3-, the latter could be identified by its narrower FWHM. For some variants, no binding could be observed. Circular dichroism spectra showed that these variants structurally deviate slightly from other variants and the wild type (WT). VET could be observed over 22 Å from two regions of the protein to the N3- bound in the active center, at protein concentrations of below 2 mM. Unbound N3- did not generate signals, allowing it to be added in excess ensuring the saturation of the protein in VET experiments.
The activity of FDH WT and four AzAla mutants was investigated under substrate saturation without and with AzAla excitation. In these experiments, a slight reduction in activity under illumination was observed, even for the WT, who is not expected to interact with the excitation light. So far, a difference in sample temperature cannot be excluded as the cause for this decline.
The presented experiments with FDH illustrate the potential of low-molecular-weight ligands as VET sensors, with N3- being particularly attractive due to its simple structure (preventing Fermi resonances) and its high extinction coefficient. Its use can add many metalloproteins as potential targets for VET experiments and allows investigation without a VET sensor ncAA. Additionally, initial experiments were conducted to measure light-dependent FDH activity. By specifically exciting protein LFMs, this project could contribute in the future to answering longstanding questions about the extraordinary catalytic efficiency of enzymes.
Substantial progress in the field of neuroscience has been made from anaesthetized preparations. Ketamine is one of the most used drugs in electrophysiology studies, but how ketamine affects neuronal responses is poorly understood. Here, we used in vivo electrophysiology and computational modelling to study how the auditory cortex of bats responds to vocalisations under anaesthesia and in wakefulness. In wakefulness, acoustic context increases neuronal discrimination of natural sounds. Neuron models predicted that ketamine affects the contextual discrimination of sounds regardless of the type of context heard by the animals (echolocation or communication sounds). However, empirical evidence showed that the predicted effect of ketamine occurs only if the acoustic context consists of low-pitched sounds (e.g., communication calls in bats). Using the empirical data, we updated the naïve models to show that differential effects of ketamine on cortical responses can be mediated by unbalanced changes in the firing rate of feedforward inputs to cortex, and changes in the depression of thalamo-cortical synaptic receptors. Combined, our findings obtained in vivo and in silico reveal the effects and mechanisms by which ketamine affects cortical responses to vocalisations.
DIE ARCHITEKTUR DER ZELLE : Wie sehen die Bausteine des Lebens genau aus, wie interagieren die zellulären Akteure miteinander? Im Rahmen der Exzellenzcluster-Initiative SCALE (Subcellular Architecture of Life) wollen Frankfurter Wissenschaftlerinnen und Wissenschaftler diesen wichtigen Fragen nachgehen. Das Projekt ist interdisziplinär: Mehrere Forschungsgruppen, deren Schwerpunkt Biophysik ist, arbeiten zusammen. Der Biophysiker Achilleas Frangakis und die Bioinformatikerin Kathi Zarnack sind auch dabei. Sie verfolgen im Rahmen des Projekts große Ziele.
We show examples of the impact of the Maxwellian averaged capture cross sections determined at n_TOF over the past 20 years on AGB stellar nucleosynthesis models. In particular, we developed an automated procedure to derive MACSs from evaluated data libraries, which are subsequently used as input to stellar models computed by means of the FuNS code. In this contribution, we present a number of s-process abundances obtained using different data libraries as input to stellar models, with a focus on the role of n_TOF data.
This work focuses on the investigation of K+, K- and ϕ-meson production in Ag(1.58 A GeV)+Ag collisions. The energetically cheapest channel for direct K+ production in binary NN-collisions NN→NΛK+ lies at exactly this energy. For the remaining K- and ϕ-mesons, an excess energy of 0.31 GeV and 0.34 GeV in the centre of mass system has to be provided by the system. This makes these particles an excellent probe for effects inside the medium.
K+ and K- mesons can be reconstructed directly as they possess a cτ of approximately 3.7 m. Using the approximately 3 billion recorded Ag(1.58 A GeV)+Ag 0-30% most central collision events, all reconstructed K+ and K- within the detector acceptance are investigated for their kinematic properties and their particle production rates compared to a selection of existing models.
We continue previous investigations of the (inhomogeneous) phase structure of the Gross-Neveu model in a noninteger number of spatial dimensions (1≤d<3) in the limit of an infinite number of fermion species (N→∞) at (non)zero chemical potential μ. In this work, we extend the analysis from zero to nonzero temperature T.
The phase diagram of the Gross-Neveu model in 1≤d<3 spatial dimensions is well known under the assumption of spatially homogeneous condensation with both a symmetry broken and a symmetric phase present for all spatial dimensions. In d=1 one additionally finds an inhomogeneous phase, where the order parameter, the condensate, is varying in space. Similarly, phases of spatially varying condensates are also found in the Gross-Neveu model in d=2 and d=3, as long as the theory is not fully renormalized, i.e., in the presence of a regulator. For d=2, one observes that the inhomogeneous phase vanishes, when the regulator is properly removed (which is not possible for d=3 without introducing additional parameters).
In the present work, we use the stability analysis of the symmetric phase to study the presence (for 1≤d<2) and absence (for 2≤d<3) of these inhomogeneous phases and the related moat regimes in the fully renormalized Gross-Neveu model in the μ,T-plane. We also discuss the relation between "the number of spatial dimensions" and "studying the model with a finite regulator" as well as the possible consequences for the limit d→3.
This thesis deals with several aspects of non-perturbative calculations in low-dimensional quantum field theories. It is split into two main parts:
The first part focuses on method development and testing. Using exactly integrable QFTs in zero spacetime dimensions as toy models, the need for non-perturbative methods in QFT is demonstrated. In particular, we focus on the functional renormalization group (FRG) as a non-perturbative exact method and present a novel fluid-dynamic reformulation of certain FRG flow equations. This framework and the application of numerical schemes from the field of computational fluid dynamics (CFD) to the FRG is tested and benchmarked against exact results for correlation functions. We also draw several conclusions for the qualitative understanding and interpretation of renormalization group (RG) flows from this fluid-dynamic reformulation and discuss the generalization of our findings to realistic higher-dimensional QFTs.
The topics discussed in the second part are also manifold. In general, the second part of this thesis deals with the Gross-Neveu (GN) model, which is a prototype of a relativistic QFT. Even though being a model in two spacetime dimensions, it shares many features of realistic models and theories for high-energy particle physics, but also emerges as a limiting case from systems in solid state physics. Especially, it is interesting to study the model at non-vanishing temperatures and densities, thus, its thermodynamic properties and phase structure.
First, we use this model to test and apply our findings of the first part of this thesis in a realistic environment. We analyze how the fluid-dynamic aspects of the FRG realize themselves in the RG flow of a full-fledged QFT and how we profit from this numeric framework in actual calculations. Thereby, however, we also aim at answering a long-standing question: Is there still symmetry breaking and condensation at non-zero temperatures in the GN model, if one relaxes the commonly used approximation of an infinite number of fermion species and works with a finite number of fermions? In short: Is matter (in the GN model) in a single spatial dimension at non-zero temperature always gas-like?
In general, we also use the GN model to learn about the correct description of QFTs at non-zero temperatures and densities. This is of utmost relevance for model calculations in low-energy quan- tum chromodynamics (QCD) or other QFTs in medium and we draw several conclusions for the requirements for stable calculations at non-zero chemical potential.
Quarkyonic or baryquark matter? On the dynamical generation of momentum space shell structure
(2023)
We study the equation of state of a mixture of (quasi-)free constituent quarks and nucleons with hard-core repulsion at zero temperature. Two opposite scenarios for the realization of the Pauli exclusion principle are considered: (i) a Fermi sea of quarks surrounded by a shell of baryons – the quarkyonic matter, and (ii) a Fermi sea of nucleons surrounded by a shell of quarks which we call baryquark matter. In both scenarios, the sizes of the Fermi sea and shell are fixed through energy minimization at fixed baryon number density. While both cases yield a qualitatively similar transition from hadronic to quark matter, we find that baryquark matter is energetically favored in this setup and yields a physically acceptable behavior of the speed of sound without the need to introduce an infrared regulator. In order to retain the theoretically more appealing quarkyonic matter as the preferred form of dense QCD matter will thus require modifications to the existing dynamical generation mechanisms, such as, for example, the introduction of momentum-dependent nuclear interactions.
Investigation of the kinematics involved in compton scattering and hard X-ray photoabsorption
(2023)
The present work investigates the kinematics of Compton scattering at gaseous, internally-cool helium and molecular nitrogen targets in the high- and the low-energy regime. Additionally, photoionization at molecular nitrogen with high-energy photons is investigated. These exeprimental regimes were previously inaccessible due to the extremely small cross sections involved. Nowadays, the third- and fourth-generation synchrotron machines produce sufficient photon flux, enabling the investiagtion of the above processes. The utilized cold-target recoil-ion momentum spectroscopy (COLTRIMS) technique further increases the detection efficiency of the observed processes, since it enables full-solid-angle detection by exploiting momentum conservation.
Compton scattering is investigated at both high (helium and N2) and low (helium) photon energies. In the high-energy regime, the impulse approximation is mostly valid, which is not the case for the low-energy regime. The impulse approximation assumes that the Compton-scattering process takes place at a free electron with a momentum distribution as if it was bound, thus ignoring the binding energy of the system. In the low-energy regime, the impulse approximation is not valid.
Photoionization is investigated at high photon energies, where the linear momentum of the photon cannot be neglected, as is the fashion of the commonly used dipole approximation.
Magnetische Quadrupole und Solenoide sind ein elementarer Bestandteil einer Beschleunigeranlage und begrenzen die transversale Ausdehnung eines Teilchenstrahls durch eine Reflexion der Teilchen in Richtung der Beschleunigerachse. Die konventionelle Bauweise als Elektromagnet besteht aus einem Eisenjoch welches mit Spulen umwickelt ist. In dieser Arbeit werden diese Magnetstrukturen auf Basis von Permanentmagneten designt und hinsichtlich ihrer Qualität zum Strahltransport optimiert, sowie Feldmessungen an permanentmagnetischen Quadrupolen durchgeführt. Diese wurden mit 3D-gedruckten Halterungen aus Kunststoff gefertigt, was eine Vielzahl von Formvariationen ermöglicht. Darauf aufbauend wurde ein im Vakuum befindlicher Aufbau entwickelt, mit welchem die Strahlenvelope im inneren eines permanentmagnetischen Quadrupol Tripletts diagnostiziert werden kann. Dies greift auf ein am Institut für angewandte Physik entwickeltes System zur nicht-invasiven Strahldiagnose mithilfe von Raspberry Pi Einplatinencomputern und Kameras in starken Magnetfeldern zurück.
Die in dieser Arbeit vorgestellte Konfiguration eines PMQ’s ist eine Weiterentwicklung des am CERN im Linac4, einem Alvarez-Driftröhrenbeschleuniger zur Beschleunigung von H– , verwendeten Designs. Bei diesem sind je acht quaderförmige Permanentmagnete aus Samarium Cobalt (SmCo) in die Driftröhren des Beschleunigers integriert.
Darauf aufbauend wurden die geometrischen Designparameter hinsichtlich ihres Einflusses auf die Qualität des Magnetfelds untersucht. In einem magnetischen Quadrupol zur Strahlfokussierung wird dies durch einen linearen Anstieg des Magnetfeldes von Quadrupolachse zu Polflächen charakterisiert. Das Design wurde im Zuge dessen zur Verwendung von industriellen Standardgeometrien von Quadermagneten und der Erhöhung der magnetischen Flussdichte erweitert. Dazu wurde untersucht wie sich das Hinzufügen von zusätzlichen Magneten auswirkt und ob eine bessere Feldqualität durch andere Magnetformen erreicht wird.
Die Kombination mehrerer PMQ in geringem Abstand (<10 mm) führt abhängig von der Geometrie der PMQ-Singlets zu einer erheblichen Verschlechterung der Feldlinearität, was eine Erhöhung des besetzten Phasenraumvolumens der Teilchen nach sich zieht.
Am Beispiel von PMQ-Tripletts werden die zu beachtenden Designparameter analysiert und Lösungsansätze vorgestellt. Die auftretenden Effekte werden anhand von Strahldynamiksimulation veranschaulicht. Für eine Anwendung der vorgestellten Designs wurde eine Magnethülle mit einer Wabenstruktur zur Aufnahme der Einzelmagnete entwickelt. Diese besteht aus zwei Halbschalen, welche jeweils den Kompletteinschluss aller Magnete garantiert und eine einfache Montage um ein Strahlrohr ermöglicht. Diese wurden in der Institutswerkstatt aus Kunststoff via 3D-Druck gefertigt. Aufgrund der höheren erreichbaren Magnetisierung wurden Neodym-Eisen-Bor-Magnete (Nd2F14B, Br =1,36 T) für den Bau der entwickelten Strukturen verwendet. Für eine Magnetfeldmessung zur Bestätigung der magnetostatischen Simulationen und einer Bewertung der Druckqualität wurde eine motorisierte xyz-Stage zur Bewegung einer Hallsonde aufgebaut. Die Messungen zeigen eine gute Zentrierung des Magnetfeldes, sodass PMQ mit einer Kunststoffhalterung eine schnelle und billige Möglichkeit sind, kurzfristig eine Quadrupol-Konfiguration aufzubauen. Die Kosten belaufen sich für einen einzelnen PMQ je nach Länge auf 50€ bis 100€.
Basierend auf der PMQ-Struktur wurde ein PMQ-Triplett in ein Vakuum versetzt und mit Raspberry Pi Kameras im Zwischenraum der Singlets ausgestattet. Dies ermöglichte die Aufnahme der Strahlenvelope innerhalb des Tripletts anhand der durch einen Heliumstrahl induzierten Fluoreszenz und erste Erkenntnisse für notwendige Weiterentwicklungen wurden gesammelt. Auf den genauen technischen Aufbau wird im abschließenden Kapitel der Arbeit detailliert eingegangen.
In der einfachsten Form wird ein PM-Solenoid anhand eines einzelnen axial magnetisierten Hohlzylinders realisiert und erzeugt näherungsweise die Feldverteilung einer Zylinderspule. Durch die radialen Magnetfeldkomponenten an den Rändern des Solenoiden erhalten Teilchen eine tangentiale Geschwindigkeitskomponente und führen eine Gyrationsbewegung entlang der Solenoidachse aus. Diese reduziert den Strahlradius und die Teilchen behalten eine Geschwindigkeitskomponente, welche zur Solenoidachse zeigt. Für eine Maximierung dieser Fokussierung muss das Magnetfeld auf die Zylinderachse konzentriert werden. Insbesondere bei einer Verlängerung des Hohlzylinders wird die Kopplung der Polflächen über das Innenvolumen abgeschwächt. Aufgrund dessen wurde ein Design bestehend aus drei Hohlzylindersegmenten entwickelt. Dieses setzt sich aus zwei radial und einem axial magnetisierten Hohlzylinder zusammen und erhöht die mittlere magnetische Flussdichte für ausgewählte Geometrien um einen Faktor zwei im Vergleich zu einem einzelnen Hohlzylinder gleicher Geometrie. Dies ist gleichzusetzen mit einer Vervierfachung der Fokussierstärke, welche quadratisch mit der mittleren magnetischen Flussdichte skaliert. Die Strahldynamischen Konsequenzen werden anhand von Simulationen mit generierten Magnetfeldverteilungen erläutert. Für eine kostengünstige Bauweise wurde eine Design basierend auf quaderförmigen Magneten entwickelt.
Baryonic models of ultra-low-mass compact stars for the central compact object in HESS J1731-347
(2023)
The recent attempt on mass and radius inference of the central compact object within the supernova remnant HESS J1731-347 suggests for this object an unusually low mass of M=0.77−0.17+0.20M⊙ and a small radius of R=10.4−0.78+0.86km. We explore the ways such a result can be accommodated within models of dense matter with heavy baryonic degrees of freedom which are constrained by the multi-messenger observations. We find that to do so using only purely nucleonic models, one needs to assume a rather small value of the slope of symmetry energy Lsym. Once heavy baryons are included higher values of the slope Lsym become acceptable at the cost of a slightly reduced maximum mass of static configuration. These two scenarios are distinguished by the particle composition and will undergo different cooling scenarios. In addition, we show that the universalities of the I-Love-Q relations for static configurations can be extended to very low masses without loss in their accuracy.
We have investigated the systematic differences introduced when performing a Bayesian-inference analysis of the equation of state (EOS) of neutron stars employing either variable- or constant-likelihood functions. The former has the advantage of retaining the full information on the distributions of the measurements, making exhaustive usage of the data. The latter, on the other hand, has the advantage of a much simpler implementation and reduced computational costs. In both approaches, the EOSs have identical priors and have been built using the sound speed parameterization method so as to satisfy the constraints from X-ray and gravitational waves observations, as well as those from chiral effective theory and perturbative quantum chromodynamics. In all cases, the two approaches lead to very similar results and the 90% confidence levels essentially overlap. Some differences do appear, but in regions where the probability density is extremely small and are mostly due to the sharp cutoff on the binary tidal deformability L˜ 720 set in the constant-likelihood approach. Our analysis has also produced two additional results. First, an inverse correlation between the normalized central number density, nc,TOV/ns, and the radius of a maximally massive star, RTOV. Second, and most importantly, it has confirmed the relation between the chirp mass and the binary tidal deformability. The importance of this result is that it relates chirp, which is measured very accurately, and L˜ , which contains important information on the EOS. Hence, when chirp is measured in future detections, our relation can be used to set tight constraints on L˜ .
We use the topological heavy fermion (THF) model and its Kondo Lattice (KL) formulation to study the symmetric Kondo state in twisted bilayer graphene. Via a large-N approximation, we find a symmetric Kondo (SK) state in KL mode at fillings ν=0,±1,±2. In the SK state, all symmetries are preserved and the local moments are Kondo screened by the conduction electrons. At the mean-field level of the THF model at ν=0,±1,±2,±3, we also find a similar symmetric state. We study the stability of the symmetric state by comparing its energy with the ordered states and find the ordered states to have lower energy. However, moving away from integer fillings by doping holes to the light bands, we find the energy difference is reduced, which suggests the loss of ordering and a tendency towards Kondo screening. In order to include many-body effects beyond the mean-field approximation, we perform dynamical mean-field theory (DMFT) calculations on the THF model. We find the spin susceptibility follows a Curie behavior at ν=0,±1,±2 down to ∼2K where the onset of screening of the local moment becomes visible. This hints to very low Kondo temperatures at these fillings, in agreement with the outcome of our mean-field calculations. At non-integer filling ν=±0.5,±0.8,±1.2 DMFT shows deviations from a 1/T-susceptibility at much higher temperatures, suggesting a more effective screening of local moments with doping. Finally, we study the effect of a C3z-rotational-symmetry-breaking strain via mean-field approaches and find that a symmetric phase (that only breaks C3z symmetry) can be stabilized at sufficiently large strain at ν=0,±1,±2. Our results suggest that a symmetric Kondo phase is strongly suppressed at integer fillings, but could be stabilized either at non-integer fillings or by applying strain.
In the last twenty years, a variety of unexpected resonances had been observed within the charmonium mass region. Although the existence of unconventional states has been predicted by the quantum chromodynamics (QCD), a quantum field theory describing the strong force, a clear evidence was missing. The Y(4260) is such an unexpected and supernummerary state, first observed at BaBar in 2005, and aroused great interest, because it couples much stronger to hidden charm decays (charm-anticharm states like J/Psi or h_c) instead of open charm decays (D meson pairs). This is unusual for states with masses above the D anti-D threshold. Furthermore, it decays into a charged exotic state Y(4260)->Z_c(3900)^+- pi^-+. The charge of the Z_c(3900)^+- is an indication that it comprises of two more quarks than the charm-anticharm pair, and could therefore be assumed to be a four-quark state. Due to these still not understood properties of these QCD-allowed states, they are referred to as exotic XYZ states to emphasize their particularity.
In 2017, the collaboration of the Beijing Spectrometer III (BESIII) investigated the production reaction of the Y(4260) resonance based on a high-luminosity data set. This significantly improved precision of the measurement of the cross-section sigma(e+e- -> J/Psi pi^+ pi^-) permitted a resolution into two resonances, the Y(4230) and the Y(4360). The Z_c(3900)^+- had been discovered by the BESIII collaboration in 2013, thus this experiment at the Beijing Electron-Positron Collider II (BEPCII) is a top-performing facililty to study exotic charmonium-like states.
In this work, an inclusive reconstruction of the strange hyperon Lambda in the charmonium mass region is performed to study possible decays of Y states in order to provide further insight into their nature. Finding more states or new decay channels may provide crucial hints to understand the strong interaction beyond nonperturbative approaches.
Three resonances are observed in the energy dependent cross-section: the first with a mass of (4222.01 +- 5.68) MeV and a width of (154.26 +- 28.16) MeV, the second with a mass of (4358.88 +- 4.97) MeV and a width of (49.58 +- 13.54) MeV and the third with a mass of (4416.41 +- 2.37) MeV and a width of (23.88 +- 7.18) MeV. These resonances, with a statistical significance Z > 5sigma, can be interpreted as the states Y(4230), Y(4360) and psi(4415).
Additionally, a proton momentum-dependent analysis strategy has been used in terms of the inclusiveness of the reconstruction and to address the momentum discrepancies between generic MC and measured data.
Das Experiment ALICE (A Large Ion Collider Experiment) am CERN (Conseil Européen pour la Recherche Nucléaire) LHC (Large Hadron Collider) fokussiert sich auf die Untersuchung stark wechselwirkender Materie unter extremen Bedingungen. Solche Bedingungen existierten wenige Mikrosekunden nach dem Urknall, als die Temperaturen so hoch waren, dass Partonen (Quarks und Gluonen) nicht zu farbneutralen Hadronen gebunden waren. In solch einem Quark-Gluon-Plasma können sich die Partonen frei bewegen, wobei sie allerdings mit anderen Partonen aus dem Medium stark wechselwirken. Am LHC werden Bleikerne auf ultra-relativistische Energien von bis zu 2.68 TeV beschleunigt und zur Kollision gebracht, wobei für weniger als 10 fm/c ein QGP entsteht, das schnell expandiert. Die Partonen hadronisieren, wenn das QGP sich auf Temperaturen von weniger als der Phasenübergangstemperatur von ≈155MeV abkühlt. Die finalen Teilchen- und Impulsverteilungen werden werden vom ALICE Detektor gemessen und geben Aufschluss auf elementare Prozesse im QGP.
Die TPC (Time Projection Chamber ) ist eines der wichtigsten Detektorsysteme von ALICE. Sie trägt maßgeblich zur Rekonstruktion von Teilchenspuren und zur Identifikation der Teilchensorten bei mittleren Rapiditäten bei. Die TPC ist eine große zylindrische Spurendriftkammer und besteht aus einem 88mˆ3 großen Gasvolumen, das von der zentralen Hochspannungselektrode in zwei Seiten geteilt wird. Durchquert ein Teilchen das Gasvolumen, ionisiert es entlang seiner Spur eine spezifische Menge von Gasatomen. Die Ionisationselektronen driften entlang des extrem homogenen elektrischen Feldes zu den Auslesekammern an den Endkappen auf beiden Seiten der TPC. Die Messung der Position und der Menge der Ionisationselektronen erlaubt die Rekonstruktion der Teilchenspur sowie, in Kombination mit der Impulsmessungen über die Krümmung der Teilchenspur im Magnetfeld, die Bestimmung der Teilchensorte über den spezifischen Energieverlust pro Wegstrecke im Gas. Das Gasvolumen der TPC war in LHC Run 1 (2010–2013) mit Ne-CO_2 (90-10) gefüllt. Die Gasmischung wurde zu Ar-CO_2 (88-12) für Run 2 (2015–2018) geändert. Als Auslesekammern wurden Vieldrahtproportionalkammern verwendet, die aus einer segmentierten Ausleseebene, einer Anodendrahtebene, einer Kathodendrahtebene und einem Gating-Grid (GG) bestehen. Das GG is eine zusätzliche Drahtebene, die durch zwei verschiedene Spannungseinstellungen transparent oder undurchlässig für Elektronen und positive Ionen geschaltet werden kann.
In den ersten Daten von Run 2 bei hohen Interaktionsraten wurden große Verzerrungen der gemessenen Spurpunkte beobachtet, die auf Grund von Verzerrungen des Driftfeldes auftreten und nicht von Daten aus Run 1 bekannt waren. Diese Verzerrungen treten nur sehr lokal an den Grenzen von manchen der inneren Auslesekammern (IROCs) auf. Zudem wurden auch große Verzerrungen in einer (C06) der äußeren Auslesekammern (OROCs) festgestellt, die sich bei einem bestimmten Radius über die ganze Breite der Kammer erstrecken. Die Ergebnisse dieser Arbeit befassen sich mit der Untersuchung jener Verzerrungen und ihrer Ursache, sowie mit der Entwicklung von Strategien um die Verzerrungen zu minimieren.
Messungen der Verzerrungen in den IROCs und Vergleiche mit Simulationen lassen darauf schließen, dass die Verzerrungen von positiver Raumladung hervorgerufen werden, die durch Gasverstärkung an sehr begrenzten Regionen der Auslesekammern entsteht und sich durch das Driftvolumen bewegt. Es werden charakteristische Abhängigkeiten von der Interaktionsrate sowie systematische Veränderungen bei Umkehrung der Orientierung des Magnetfeldes gemessen. Eine erneute Analyse von Run 1 Daten mit den Methoden aus Run 2 zeigt, dass die Verzerrungen bereits in Run 1 auftraten, jedoch durch die Ne-Gasmischung und niedrigere Interaktionsraten um eine Größenordnung kleiner waren. Neue Daten aus Run 2, für die die Gasmischung zeitweise wieder von Ar-CO_2 zu Ne-CO_2- N_2 geändert wurde, bestätigen die Ergebnisse der Run 1 Datenanalyse. Der Ursprung der Raumladung wird systematisch eingegrenzt. Es werden einzelne IROCs identifiziert, an deren Anodendrähten die Raumladung entsteht. Physikalische Modelle ermöglichen es, die Entstehung der Raumladung auf das Volumen zurückzuführen, das sich zwischen zwei IROCs befindet. Damit besteht die Vermutung, dass einzelne Spitzen von Anodendrähten am äußeren Rand dieser IROCs in das Gasvolumen hineinragen und somit hohe elektrische Felder erzeugen, an denen Gasverstärkung stattfindet. Die positiven Ionen können dann ungehindert in das Driftvolumen gelangen. Um diesen Effekt zu unterdrücken, wird das Potential der Cover-Elektroden angepasst, die sich auf den Befestigungsvorrichtungen der Drahtebenen an den Kammerrändern befinden. Dadurch kann die Menge von Ionisationselektronen, die in das Volumen zwischen zwei IROCs hineindriftet und vervielfacht wird, eingeschränkt werden. Über elektro-statische Simulationen und Messungen wird eine Einstellung für das Cover-Elektroden-Potential gefunden, mit der die Verzerrungen auf 30 % reduziert werden können. Die Verzerrungen in OROC C06 entstehen durch positive Ionen, die aus der Verstärkungsregion in das Driftvolumen gelangen, da an dieser bestimmten Stelle zwei aufeinanderfolgende GG-Drähte den Kontakt verloren haben. Die Verzerrungen werden um mehr als einen Faktor 3 reduziert, indem die Hochspannung der Anodendrähte um 50 V und somit der Gasverstärkungsfaktor um einen Faktor 2 verringert wird und indem das Potential der noch funktionierenden GG-Drähte erhöht wird.
Zusammenfassend konnten die lokalen Raumladungsverzerrungen für die letzte Pb−Pb Strahlzeit von Run 2 auf weniger als 1cm bei den höchsten Interaktionsraten verringert werden. Zudem wurde der Anteil des von Raumladungsverzerrungen betroffenen Volumens der TPC signifikant verringert, sodass die ursprüngliche Auflösung der Spurrekonstruktion wieder erreicht werden konnte.
This thesis aims to investigate the properties of hadronic matter by analyzing fluctuations of conserved charges. A transport model (SMASH) is used for these studies to achieve this. The first part of this thesis focuses on examining transport coefficients, specifically the diffusion coefficients of conserved charges and the shear viscosity. The second part investigates equal-time correlations of particle numbers in the form of cumulants. The last chapter studies different aspects of the isobar collision systems Ru and Zr.
As a first step, the hadronic medium and interactions between its constituents are introduced, and simultaneously, their impact on transport coefficients is investigated. The methodology is verified by comparing the results of SMASH with Chapman-Enskog calculations, followed by examining 3-to-1 multi-particle reactions, revealing their influence on shear viscosity and electrical diffusion. The analysis of the full hadron gas considers angle-dependent cross-sections and additional elastic cross-sections via the AQM description, showing significant impacts on transport coefficients. The dependency on the number of degrees of freedom is explored, with noticeable effects on diffusion coefficients but a smaller influence on the shear viscosity. At non-zero baryon chemical potential, the diffusion coefficients are strongly influenced, while the shear viscosity remains unaffected. Overall, the study underscores the importance of individual cross-sections and the modeling of interactions on transport coefficients.
The following chapter explores fluctuations of conserved charges, crucial for understanding phase transitions in heavy-ion collision from the quark-gluon plasma to the hadronic phase. Using SMASH, the impact of global charge conservation on particle number cumulants in subvolumes of boxes simulating infinite matter is studied. Comparisons with simpler systems highlights the influence of hadronic interactions on cumulants, especially via charge annihilation processes and the results from SMASH shows agreement with analytical calculations. Calculations at finite baryon chemical potential reveals a transition from a Poisson to Skellam distribution within the net proton cumulants. It is shown that an unfolding procedure to obtain the net baryon fluctuations from the net proton ones deviates from the actual net baryon result, particularly in larger volumes. Finally, net proton correlations at vanishing baryon chemical potential align with ALICE measurements and the net proton cumulants are unaffected by deuteron formation.
In the next step, the goal is to investigate critical fluctuations in the hadronic medium. Therefore, the hadronic system is initialized with critical equilibrium fluctuations by coupling the hadron resonance gas with the 3D Ising model. The single-particle probability distributions are derived from the principle of maximum entropy. Evolving these distributions in SMASH, their development in an expanding sphere adjusted to experimental conditions can be analyzed. It reveals resonance decay and formations as the primary source that affects the particle cumulants. Because of isospin randomization processes, critical fluctuations are better preserved in net nucleon numbers. However, for the strongest coupling investigated in this work, correlations of the critical field are still present in the final state of the evolution in the net proton fluctuations. Examining cumulant dependence on rapidity windows shows a non-monotonic trend.
In the third part, collisions involving the isobars Ru and Zr are studied at a center-of-mass energy of 200 GeV. Initially, SMASH is used to study the initial conditions to hydrodynamical simulations, emphasizing the importance of the nuclear structure of isobars on the geometry of the collision area. It is found that the deformation parameters notably influence the initial state. Correlations between nucleon-nucleon pairs on eccentricity fluctuations yield no significant effect. Subsequently, the hydrodynamic model vHLLE evolves the previously explored initial conditions and for the transition between the hydrodynamic and kinetic descriptions, the Cooper-Frye formula is used. Usage of the canonical ensemble ensures the exact conservation of the conserved charges B, Q, and S. The neutron skin effect, which changes the charge distribution within Ru nuclei, is additionally considered. Fluctuations are assessed, revealing suppression in large rapidity windows due to global charge conservation. The hadronic phase modifies fluctuations of net pions, net kaons, and net protons via annihilation processes, yet fluctuations remain unaffected by the neutron skin effect.
In this thesis, the early time dynamics in a heavy ion collision of Pb-Nuclei at LHC center-of-mass energies of 5 TeV is studied. Right after the collision the system is out-of-equilibrium and essentially gluon dominated, with their density saturating at a specific momentum scale Q_s. Based on a separation of scales for the soft and hard gluonic degrees of freedom, the initial state is given from an effective model, known as the Color Glass Condensate. Within this model, the soft gluons behave classical to leading order, making it possible to study their dynamics in gauge invariant fashion on a three dimensional lattice, solving Hamiltonian field equations of motion, keeping real time. Quark-Antiquark pairs are produced in the gluonic medium, known as the Glasma and manifest themselves as a source of quantum fluctuations.
They enter the dynamics of the gluons as a current, making the system semi-classical. In lattice simulations, the non-equilibrium system is tested for pressure isotropization, which is a necessary ingredient to reach a local thermal equilibrium (LTE), making a hydrodynamical description at a later stage possible. In addition, the occupation of energy modes is studied with its implications on thermalization and classicality.
Precise intensity monitoring at CRYRING@ESR: on designing a Cryogenic Current Comparator for FAIR
(2023)
In the field of today’s beam intensity diagnostic there is a significant gap in the non-interceptive, calibrated measurement of the absolute intensity of continuous (unbunched) dc beams with current amplitudes below 1 μA. At the Facility for Antiproton and Ion Research (FAIR) low-intensity DC beams will occur during slow extraction from the synchrotrons as well as for coasting beams of highly-charged or exotic nuclei in the storage rings. The lack of adequate beam instrumentation limits the experimental program as well as the accuracy of experimental results.
The Cryogenic Current Comparator (CCC) can close the diagnostic gap with a high-precision dc current reading independent of ion-species and of beam parameters. However, the established detector design based on a core with high magnetic permeability and on a radial shield geometry has well-known weaknesses concerning magnetic shielding efficiency and intrinsic current noise. To eliminate these weaknesses, a novel coreless CCC with a co-axial shield was constructed and combined with a high-performance SQUID contributed by the Leibniz-Institute of Photonic Technology (Leibniz-IPHT Jena). The new axial CCC model was compared to a radial CCC with the established design provided by the Friedrich-Schiller-University Jena. According to numerical simulations prepared at TU Darmstadt and test measurements of the detectors in the laboratory, the new design offered a significant improvement of the shielding factor – from 75dB to 207dB at the required dimensions – and eliminated all noise contributions from the core material, promising an improved current resolution. Although the lower inductance of the pickup coil reduced the coupling to the beam significantly, the noise properties of the new CCC type were comparable to the classical version with a high-permeability core. However, the expected decrease of the low-frequency noise and thus an increase of the current resolution could not be observed at this stage of development.
Consequently, the classical CCC based on the radial shielding and high-permeability core had to be installed in CRYRING@ESR to provide best possible intensity measurements for the upcoming experimental campaign. In CRYRING the CCC was operated with beam currents between 1nA and 20μA and with different ion species (H, Ne, O, Pb, U). It was shown that the CCC provides a noise-limited current resolution of better than 3.2 nArms at a bandwidth of 200 kHz as well as a noise level below 40 pA/√Hz above 1 kHz. During the operation, the main noise sources of the accelerator environment had to be identified and suitable mitigation strategies were developed. Temperature and pressure fluctuations were suppressed with a newly-designed cryogenic support system based on a 70 l helium bath cryostat, developed and built in collaboration with the Institut für Luft- und Kältetechnik Dresden, in combination with a helium re-liquefier. The cryogenic operating time was restricted to around 7 days, which must be expanded significantly in the future. Digital filters were developed to remove the perturbations of the helium liquefier and of the neighboring dipole magnets. Given the promising results the CCC system can be considered as a prototype for future CCCs at FAIR.
In this work I investigate two different systems - spin systems and charge-density-waves. The same theoretical method is used to investigate both types of system. My investigations are motivated by experimental investigations and the goal is to describe the experimental results theoretically. For this purpose I formulate kinetic equations starting from the microscopical dynamics of the systems.
First of all, a method is formulated to derive the kinetic equations diagrammatically. Within this method an expansion in equal-time connected correlation functions is carried out. The generating functional of connected correlations is employed to derive the method.
The first system to be investigated is a thin stripe of the magnetic insulator yttrium-iron-garnet (YIG). Magnons are pumped parametrically with an external microwave field. The motivation of my theoretical investigations is to explain the experimental observations. In a small parameter range close to the confluence field strength where confluence processes of two parametrically pumped magnons with the same wave vector becomes kinematically possible the efficiency of the pumping is reduced or enhanced depending on the pumping field strength. Because it is expected that that confluence and splitting processes of magnons are essential for the experimental observations I go beyond the kinetic theories that are conventionally applied in the context of parametric excitations in YIG and investigate the influence of cubic vertices on the parametric instability of magnons in YIG.
Furthermore, the influence of phonons is investigated. Usually in the literature these are taken into account as heat bath. Here, I want to explain experiments where an accumulation of magnetoelastic bosons - magnon-phonon-quasi-particles - has been observed. I employ the method of kinetic equations to investigate this phenomenon theoretically. The kinetic theory is able to reproduce the experimental observations and it is shown that the accumulation of magnetoelastic bosons is purely incoherent.
Finally, charge-density waves (CDW) in quasi-one-dimensional materials will be investigated. Charge-density waves emerge from a Peierls-instability and are a prime example for spontaneous symmetry breaking in solids. Again, the motivation for my theoretical investigations are an experiment where the spectrum of amplitude and phase phonon modes has been measured. Starting from the Fröhlich-Hamiltonian I derive kinetic equations and from these kinetic equations the equations of motion for the CDW order parameter can be derived. The frequencies and damping rates of amplitude and phase phonon modes will be derived from the linearized equations of motion. I compare my theory with existing methods. Furthermore, I also investigate the influence of Coulomb interaction.
We present results of hard X-ray angle-resolved photoemission spectroscopy and photoemission diffraction measurements performed on high-quality single crystals of the valence transition compound EuPd2Si2 for temperatures 25~K ≤ T ≤ 300~K. At low temperatures we observe a Eu 4f valence v=2.5, % occupation number n=6.5, which decreases to v=2.1 for temperatures above the valence transition around TV≈160~K. The experimental valence numbers resulting from an evaluation of the Eu(III)/Eu(II) 3d core levels, are used for calculating band structures using density functional theory. The valence transition significantly changes the band structure as determined by angle-resolved photoemission spectroscopy. In particular, the Eu 5d valence bands are shifted to lower binding energies with increasing Eu 4f occupancy. To a lesser extent, bands derived from the Si 3p and Pd 4d orbitals are also affected. This observation suggests a partial charge transfer between Eu and Pd/Si sites. Comparison with {\it ab-initio} theory shows a good agreement with experiment, in particular concerning the unequal band shift with increasing Eu 4f occupancy.
According to the inflationary theory of cosmology, most elementary particles in the current Universe were created during a period of reheating after inflation. In this Letter, we self-consistently couple the Einstein-inflaton equations to a strongly coupled quantum field theory as described by holography. We show that this leads to an inflating universe, a reheating phase, and finally a universe dominated by the quantum field theory in thermal equilibrium.
According to the inflationary theory of cosmology, most elementary particles in the current universe were created during a period of reheating after inflation. In this work we self-consistently couple the Einstein-inflaton equations to a strongly coupled quantum field theory (QFT) as described by holography. We show that this leads to an inflating universe, a reheating phase and finally a universe dominated by the QFT in thermal equilibrium.
The core of this work is represented by the investigation of the chiral phase transition, using Monte Carlo simulations and unimproved staggered fermions, both in the weak and strong coupling regimes of Quantum Chromodynamics. Based on recent results from Monte Carlo simulations, both using unimproved staggered fermions and Wilson fermions, the chiral phase transition in the continuum and chiral limit shows compatibility with a second-order phase transition for Nf (number of flavours) in range [2:7], at zero baryon chemical potential. This achievement relies on the analytic continuation of Nf to non-integer values on the lattice, which allows to make use of extrapolation techniques to the chiral limit, where simulations are not possible. Furthermore, these results provide a resolution to the ambiguous scenario for Nf = 2 in the chiral limt. The first part of this thesis is devoted to the investigation of the chiral phase transition when a non-zero imaginary baryon chemical potential is involved, whose value corresponds to the 81% of the Roberge-Weiss one. Using the same extrapolation techniques aforementioned, the order of the chiral phase transition in the continuum and chiral limit shows compatibility with a second-order phase transition for Nf in range [2:6], highlighting a lack of dependence of the order of the chiral phase transition on the imaginary baryon chemical potential value. The second part of this thesis is about the study of the extension of the first-order chiral region in the strong coupling regime, at zero baryon chemical potential. Using Monte Carlo techniques, this can be done by investigating the Z2 boundary on a coarse lattice, whose temporal extent reads Nt = 2, and simulations are realised for Nf = 4, 8. The results in the weak coupling regime show, for $Nt = 8, 6, 4 and fixed Nf value, an inflating first-order chiral region. As in the strong coupling limit a second-order chiral phase transition is expected, the first-order chiral region has to shrink as the strong coupling regime is approached, resulting in a non-monotonic behaviour of the Z2 boundary. For Nf = 8, a critical mass on the Z2 boundary has been obtained, confirming the expected non-monotonic behaviour. For Nf = 4 the results do not provide a unique conclusion: Either a Z2 boundary at extremely low bare quark mass or a second-order chiral phase transition in the O(2) universality class in the chiral limit can take place. In addition to the two main topics, the performances of the second-order minimum norm integrator (2MN) and the fourth-order minimum norm integrator (4MN) have been compared, after implementing the 4MN one in the CL2QCD code used to realise our simulations. The 2MN integrator had already been implemented in the code since the first version was released. The two integrators belong to the class of symplectic integrators and represent an essential component of the RHMC algorithm, involved in our investigation. This step is extremely important, in order to guarantee the best quality when collecting data from simulations, and the results of the comparison suggested to favor the 2MN integrator, for both the topics.
This article summarizes some of the current theoretical developments and the experimental status of hypernuclei in relativistic heavy-ion collisions and elementary collisions. In particular, the most recent results of hyperhydrogen of mass A = 3 and 4 are discussed. The highlight at SQM2022 in this perspective was the discovery of the anti-hyperhydrogen-4 by the STAR Collaboration, in a large data set consisting of different collision systems. Furthermore, the production yields of hyperhydrogen-4 and hyperhelium-4 from the STAR Collaboration can be described nicely by the thermal model when the excited states of these hypernuclei are taken into account. In contrast, the production measurements in small systems (pp and p–Pb) from the ALICE Collaboration tends to favour the coalescence model over the thermal description. New measurements from STAR, ALICE and HADES Collaborations of the properties, e.g. lifetime, of A = 3 and 4 hypernuclei give similar results of these properties. Also the anti-hyperhydrogen-4 lifetime is in rather good agreement with previous measurements. Interestingly, the new STAR measurement on the R3 value, that is connected to the branching ratio, points to a Λ separation energy that is below 100 keV but definitely consistent with the value of 130 keV assumed since the 70s.
By combining two unique facilities at the Gesellschaft fuer Schwerionenforschung (GSI), the Fragment Separator (FRS) and the Experimental Storage Ring (ESR), the first direct measurement of a proton capture reaction of stored radioactive isotopes was accomplished. The combination of well-defined ion energy, an ultra-thin internal gas target, and the ability to adjust the beam energy in the storage ring enables precise, energy-differentiated measurements of the (p,gamma) cross sections. The new setup provides a sensitive method for measuring (p,gamma) reactions relevant for nucleosynthesis processes in supernovae, which are among the most violent explosions in the universe and are not yet well understood. The cross sections of the 118Te(p,gamma) and 124Xe(p,gamma) reactions were measured
at energies of astrophysical interest. The heavy ions were stored with energies of 6 MeV/nucleon and 7 MeV/nucleon and interacted with a hydrogen gas-jet target.
The produced proton-capture products were detected with a double-sided silicon strip detector. The radiative recombination process of the fully stripped ions and electrons from the hydrogen target was used as a luminosity monitor.
Additionally, post-processing nucleosynthesis simulations within the NuGrid [1] research platform have been performed. The impact of the new experimental results on the p-process nucleosynthesis around 124Xe and 118Te in a core-collapse supernova was investigated. The successful measurement of the proton capture cross sections of radioactive isotopes rises the motivation to proceed with experiments in lower energy regions.
[1] M. Pignatari and F. Herwig, “The nugrid research platform: A comprehensive simulation approach for nuclear astrophysics,” Nuclear Physics News, vol. 22, no. 4, pp. 18–23, 2012.
We investigate the space-time dependence of electromagnetic fields produced by charged participants in an expanding fluid. To address this problem, we need to solve the Maxwell's equations coupled to the hydrodynamics conservation equation, specifically the relativistic magnetohydrodynamics (RMHD) equations, since the charged participants move with the flow. To gain analytical insight, we approximate the problem by solving the equations in a fixed background Bjorken flow, onto which we solve Maxwell's equations. The dynamical electromagnetic fields interact with the fluid's kinematic quantities such as the shear tensor and the expansion scalar, leading to additional non-trivial coupling. We use mode decomposition of Green's function to solve the resulting non-linear coupled wave equations. We then use this function to calculate the electromagnetic field for two test cases: a point source and a transverse charge distribution. The results show that the resulting magnetic field vanishes at very early times, grows, and eventually falls at later times.
We investigate the space-time dependence of electromagnetic fields produced by charged participants in an expanding fluid. To address this problem, we need to solve the Maxwell's equations coupled to the hydrodynamics conservation equation, specifically the relativistic magnetohydrodynamics (RMHD) equations, since the charged participants move with the flow. To gain analytical insight, we approximate the problem by solving the equations in a fixed background Bjorken flow, onto which we solve Maxwell's equations. The dynamical electromagnetic fields interact with the fluid's kinematic quantities such as the shear tensor and the expansion scalar, leading to additional non-trivial coupling. We use mode decomposition of Green's function to solve the resulting non-linear coupled wave equations. We then use this function to calculate the electromagnetic field for two test cases: a point source and a transverse charge distribution. The results show that the resulting magnetic field vanishes at very early times, grows, and eventually falls at later times.
We investigate the space-time dependence of electromagnetic fields produced by charged participants in an expanding fluid. To address this problem, we need to solve the Maxwell's equations coupled to the hydrodynamics conservation equation, specifically the relativistic magnetohydrodynamics (RMHD) equations, since the charged participants move with the flow. To gain analytical insight, we approximate the problem by solving the equations in a fixed background Bjorken flow, onto which we solve Maxwell's equations. The dynamical electromagnetic fields interact with the fluid's kinematic quantities such as the shear tensor and the expansion scalar, leading to additional non-trivial coupling. We use mode decomposition of Green's function to solve the resulting non-linear coupled wave equations. We then use this function to calculate the electromagnetic field for two test cases: a point source and a transverse charge distribution. The results show that the resulting magnetic field vanishes at very early times, grows, and eventually falls at later times.
Supermassive black hole binaries (SMBHBs) are among the most powerful known sources of gravitational waves (GWs). Accordingly, these systems could dominate the stochastic gravitational wave background (GWB) in the micro- and millihertz frequency range. The time until the merger of two SMBHs in the nucleus of a galaxy can be shortened through dynamical friction due to the presence of dark matter (DM) spikes around the SMBHs. To calculate the orbital evolution of individual SMBHBs within the Newtonian approximation, the SMBHBpy code is developed. This work confirms that the GW signals from SMBHBs with DM spikes can be clearly distinguished from those without any matter. Making use of the upper limit on the characteristic strain of the GWB derived from the data of the Cassini spacecraft mission in 2001/2002, a lower limit on the matter density around SMBHBs is derived in this study. The result is subsequently compared with the theoretical density profiles for cold dark matter and self-interacting dark matter spikes.
Cryo-electron tomography (CryoET) resolves individual macromolecules inside living cells. However, the complex composition and high density of cells challenge the faithful identification of features in tomograms. Here, we capitalize on recent advances in electron tomography and demonstrate that 3D template matching (TM) localizes a wide range of structures inside crowded eukaryotic cells with confidence 10 to 100-fold above the noise level. We establish a TM pipeline with systematically tuned parameters for automated, objective and comprehensive feature identification. High-fidelity and high-confidence localizations of nuclear pore complexes, vaults, ribosomes, proteasomes, lipid membranes and microtubules, and individual subunits, demonstrate that TM is generic. We resolve ~100-kDa proteins, connect the functional states of complexes to their cellular localization, and capture vaults carrying ribosomal cargo in situ. By capturing individual molecular events inside living cells with defined statistical confidence, high-confidence TM greatly speeds up the CryoET workflow and sets the stage for visual proteomics.
Although iron-based catalysts are regarded as a promising alternative to precious metal catalysts, their precise electronic structures during catalysis still pose challenges for computational descriptions. A particularly urgent question is the influence of the environment on the electronic structure, and how to describe this properly with computational methods. Here, we study an iron porphyrin chloride complex adsorbed on a graphene sheet using density functional theory calculations to detail how much the electronic structure is influenced by the presence of a graphene layer. Our results indicate that weak interactions due to van der Waals forces dominate between the porphyrin complex and graphene, and only a small amount of charge is transferred between the two entities. Furthermore, the interplay of the ligand field environment, strong p − d hybridization, and correlation effects within the complex are strongly involved in determining the spin state of the iron ion. By bridging molecular chemistry and solid state physics, this study provides first steps towards a joint analysis of the properties of iron-based catalysts from first principles.
Neutron stars are unique laboratories for the investigation of the high density properties of bulk matter. In this work, the astrophysical constraints for a phase transition from hadronic matter to deconfined quark matter are examined thoroughly. A scheme for relating known astrophysical observables such as mass, radius and tidal deformability to the parameter space of such a transition is devised and applied to the set of data currently available.
In order to span a wide parameter space, a highly parameterizable relativistic mean field equation in compliance with chiral effective field theory results is used, where the stiffness of the equation of state can be varied via the effective mass at saturation density. The phase transitions are modelled using a Maxwell construction and assumed to be of first order, with a constant speed of sound quark matter model. The resulting equations of state are analyzed and divided into four categories, which can be used to constrain the parameter space that allows phase transition. It is highlighted, that a subset of this parameter space would even be detectable without the need of higher precision measurements. A phase transition at high densities is shown to be particularly promising in this regard. Finally, the groundwork is laid to apply the equation of state used in this work for supernova or merger simulations, by extending it to non-zero temperatures.
The amplification of magnetic fields plays an important role in explaining numerous astrophysical phenomena associated with binary neutron star mergers, such as mass ejection and the powering of short gamma-ray bursts. Magnetic fields in isolated neutron stars are often assumed to be confined to a small region near the stellar surface, while they are normally taken to fill the whole star in numerical modeling of mergers. By performing high-resolution, global, and high-order general-relativistic magnetohydrodynamic simulations, we investigate the impact of a purely crustal magnetic field and contrast it with the standard configuration consisting of a dipolar magnetic field with the same magnetic energy but filling the whole star. While the crust configurations are very effective in generating strong magnetic fields during the Kelvin–Helmholtz-instability stage, they fail to achieve the same level of magnetic-field amplification of the full-star configurations. This is due to the lack of magnetized material in the neutron-star interiors to be used for further turbulent amplification and to the surface losses of highly magnetized matter in the crust configurations. Hence, the final magnetic energies in the two configurations differ by more than 1 order of magnitude. We briefly discuss the impact of these results on astrophysical observables and how they can be employed to deduce the magnetic topology in merging binaries.
Binary neutron star mergers represent unique observational phenomena because all four fundamental interactions play an important role at various stages of their evolution by leaving imprints in astronomical observables. This makes their accurate numerical modeling a challenging multiphysics problem that promises to increase our understanding of the high-energy astrophysics at play, thereby providing constraints for the underlying fundamental theories such as the gravitational interaction or the strong interaction of dense matter. For example, the first and so far only multi-messenger observation of the binary neutron star merger GW170817 resulted in numerous bounds on the parameters of isolated non-rotating neutron stars, e.g., their maximum mass or their distribution in radii, which can be directly used to constrain the equation of state of cold nuclear matter. While many of these results stem from the observation of the inspiral gravitational-wave signal, the postmerger phase of binary neutron star mergers encodes even more details about the extreme physics of hot and dense neutron star matter. In this Thesis we focus on the exploration of dissipative and shearing effects in binary neutron star mergers in order to identify novel approaches to constrain hot and dense neutron star matter.
The first effect is the well-motivated dissipation of energy due to the bulk viscosity which arises from violations of weak chemical equilibrium. We start by exploring the impact of bulk viscosity on black-hole accretion. This simplified problem gives us the opportunity to develop a test case for future codes taking into account the effects of dissipation in a fully general-relativistic setup and build intuition in the physics of relativistic dissipation. Next, we move on to isolated neutron stars and binary neutron star mergers by developing a robust implementation of bulk-viscous dissipation for numerical relativity simulations. We test our implementation by calculating the damping of eigenmodes of isolated neutron stars and the violent migration scenario. Finally, we present the first results on the impact of bulk viscosity on binary neutron star mergers. We identify a number of ways how bulk viscosity impacts the postmerger phase, out of which the suppression of gravitational-wave emission and dynamical mass ejection are the most notable ones.
In the last part of this Thesis we investigate how the shearing dynamics at the beginning of the merger affects the amplification of different initial magnetic-field topologies. We explore the hypothesis that magnetic fields which are located only in a small region near the stellar surface prior to merger lead to a weaker magnetic-field amplification. We show first evidence which confirms this hypothesis and discuss possible implications for constraining the physics of superconduction in cold neutron stars.
Transient receptor potential (TRP) ion channels are among the most well-studied classes of temperature-sensing molecules. Yet, the molecular mechanism and thermodynamic basis for the temperature sensitivity of TRP channels remains to this day poorly understood. One hypothesis is that the temperature-sensing mechanism can simply be described by a difference in heat capacity between the closed and open channel states. While such a two-state model may be simplistic it nonetheless has descriptive value, in the sense that it can be used to to compare overall temperature sensitivity between different channels and mutants. Here, we introduce a mathematical framework based on the two-state model to reliably extract temperature-dependent thermodynamic potentials and heat capacities from measurements of equilibrium constants at different temperatures. Our framework is implemented in an open-source data analysis package that provides a straightforward way to fit both linear and nonlinear van ‘t Hoff plots, thus avoiding some of the previous, potentially erroneous, assumptions when extracting thermodynamic variables from TRP channel electrophysiology data.
In QCD at large enough isospin chemical potential Bose-Einstein Condensation (BEC) takes place, separated from the normal phase by a phase transition. From previous studies the location of the BEC line at the physical point is known. In the chiral limit the condensation happens already at infinitesimally small isospin chemical potential for zero temperature according to chiral perturbation theory. The thermal chiral transition at zero density might then be affected, depending on the shape of the BEC boundary, by its proximity. As a first step towards the chiral limit, we perform simulations of 2+1 flavors QCD at half the physical quark masses. The position of the BEC transition is then extracted and compared with the results at physical masses.
Proton-powered c-ring rotation in mitochondrial ATP synthase is crucial to convert the transmembrane protonmotive force into torque to drive the synthesis of ATP. Capitalizing on recent cryo-EM structures, we aim at a structural and energetic understanding of how functional directional rotation is achieved. We performed multi-microsecond atomistic simulations to determine the free energy profiles along the c-ring rotation angle before and after the arrival of a new proton. Our results reveal that rotation proceeds by dynamic sliding of the ring over the a-subunit surface, during which interactions with conserved polar residues stabilize distinct intermediates. Ordered water chains line up for a Grotthuss-type proton transfer in one of these intermediates. After proton transfer, a high barrier prevents backward rotation and an overall drop in free energy favors forward rotation, ensuring the directionality of c-ring rotation required for the thermodynamically disfavored ATP synthesis. The essential arginine of the a-subunit stabilizes the rotated configuration through a salt-bridge with the c-ring. Overall, we describe a complete mechanism for the rotation step of the ATP synthase rotor, thereby illuminating a process critical to all life at atomic resolution.
Proton-powered c-ring rotation in mitochondrial ATP synthase is crucial to convert the transmembrane protonmotive force into torque to drive the synthesis of ATP. Capitalizing on recent cryo-EM structures, we aim at a structural and energetic understanding of how functional directional rotation is achieved. We performed multi-microsecond atomistic simulations to determine the free energy profiles along the c-ring rotation angle before and after the arrival of a new proton. Our results reveal that rotation proceeds by dynamic sliding of the ring over the a-subunit surface, during which interactions with conserved polar residues stabilize distinct intermediates. Ordered water chains line up for a Grotthuss-type proton transfer in one of these intermediates. After proton transfer, a high barrier prevents backward rotation and an overall drop in free energy favors forward rotation, ensuring the directionality of c-ring rotation required for the thermodynamically disfavored ATP synthesis. The essential arginine of the a-subunit stabilizes the rotated configuration through a salt-bridge with the c-ring. Overall, we describe a complete mechanism for the rotation step of the ATP synthase rotor, thereby illuminating a process critical to all life at atomic resolution.
DNA binding redistributes activation domain ensemble and accessibility in pioneer factor Sox2
(2023)
More than 1600 human transcription factors orchestrate the transcriptional machinery to control gene expression and cell fate. Their function is conveyed through intrinsically disordered regions (IDRs) containing activation or repression domains but lacking quantitative structural ensemble models prevents their mechanistic decoding. Here we integrate single-molecule FRET and NMR spectroscopy with molecular simulations showing that DNA binding can lead to complex changes in the IDR ensemble and accessibility. The C-terminal IDR of pioneer factor Sox2 is highly disordered but its conformational dynamics are guided by weak and dynamic charge interactions with the folded DNA binding domain. Both DNA and nucleosome binding induce major rearrangements in the IDR ensemble without affecting DNA binding affinity. Remarkably, interdomain interactions are redistributed in complex with DNA leading to variable exposure of two activation domains critical for transcription. Charged intramolecular interactions allowing for dynamic redistributions may be common in transcription factors and necessary for sensitive tuning of structural ensembles.
Vertebrate life depends on renal function to filter excess fluid and remove low-molecular-weight waste products. An essential component of the kidney filtration barrier is the slit diaphragm (SD), a specialized cell-cell junction between podocytes. Although the constituents of the SD are largely known, its molecular organization remains elusive. Here, we use super-resolution correlative light and electron microscopy to quantify a linear rate of reduction in albumin concentration across the filtration barrier under no-flow conditions. Next, we use cryo-electron tomography of vitreous lamellae from high-pressure frozen native glomeruli to analyze the molecular architecture of the SD. The resulting densities resemble a fishnet pattern. Fitting of Nephrin and Neph1, the main constituents of the SD, results in a complex interaction pattern with multiple contact sites between the molecules. Using molecular dynamics simulations, we construct a blueprint of the SD that explains its molecular architecture. Our architectural understanding of the SD reconciles previous findings and provides a mechanistic framework for the development of novel therapies to treat kidney dysfunction.