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Institute
- Physik (223)
- MPI für Biophysik (1)
Für die vorliegende Arbeit wurden zur Analyse des Auger-Zerfalls kleiner Moleküle nach Photoionisation die aus der Zerfallsreaktion resultierenden Impuls- und Energiespektren von Photo- und Auger-Elektronen in Koinzidenz mit denen der ionischen Fragmente aufgenommen. Dies ermöglichte eine getrennte Betrachtung der während des Ionisationsschrittes und des Zerfallsschrittes dieses Prozesses besetzten Molekülzustände. Um weitere Einsicht in die Dynamik des Zerfalls zu erhalten, wurden vorhandene theoretische Modelle, welche insbesondere die Interaktion der durch die Reaktion produzierten geladenen Teilchen (Post Collision Interaction) einbeziehen, an die gemessenen Energiespektren angepasst. Dies ermöglichte die separate Betrachtung der im Ionisationsschritt besetzten Molekülzustände. So konnten die Emissionswinkelverteilungen der Photoelektronen im molekülfesten Koordinatensystem für jeden besetzten Anfangszustand einzeln betrachtet werden. Die Trennung der Endzustände des Zerfalls erfolgte über die Analyse des Spektrums der Ionen-Aufbruchsenergie (Kinetic Energy Release) und den Vergleich mit berechneten Potentialkurven der beitragenden Endzustände.
Durch die nach den Anfangszuständen separierte Betrachtung des Auger-Zerfalls wurde es auch möglich, die Auswirkungen dieser Zustände auf die Zerfallsdynamik zu analysieren. Dafür lieferte die Anpassung der Modellprofile die Lebensdauer des jeweiligen 1s-Lochzustandes in dem entsprechenden Zerfallskanal. Diese jeweiligen Lebensdauern eines jeden Zustandes wurden abhängig von verschiedenen Parametern mit einer Genauigkeit im Attosekunden-Bereich aus den Energiespektren der Photoelektronen ermittelt.
In the last two decades, new unpredicted charmonium-like states with extraordinary characteristics have been observed experimentally. These states also known as the XYZ states, e.g., the Y(4260) or the X(3872), are mostly interpreted as QCD allowed exotic hadrons. One of the leading hadron physics experiments in the world, the Beijing Electron Spectrometer III (BESIII) at the Beijing Electron-Positron Collider II (BEPCII) is aiming towards revealing the internal structure of these states. It has brought numerous breakthrough discoveries including the discovery of the charged Zc(3900). In order to understand the nature of the Y(4260) state and its decay patterns, an inclusive analysis is performed for different recoil systems (π+π−,K+K− and K±π∓) using the BESIII data samples for center of mass energies above 4 GeV collected between 2013 and 2019. The aim of this analysis is twofold: on one hand, we search for new unobserved charmonium-like decay channels using the missing mass technique and on the other hand, it provides an accurate inclusive cross section measurement for e+e−→X π+π−, with the X being the J/ψ, hc and ψ(2S), respectively. Two resonant structures, the Y(4220) and the Y(4390), are observed in the inclusive energy dependent Born cross section of e+e−→hc π+π−, which is consistent with the BESIII exclusive measurements. Moreover, the energy dependent cross section of e+e−→J/ψ π+π− is investigated, in which two resonances have consistently been observed with the previous BESIII exclusive studies, namely, the Y(4220) and the Y(4320). In the (K±π±) recoil system, possible Y(4260) open charm decay channels are investigated. Two enhancements are observed in the inclusive energy dependent cross section of e+e−→DD above 4.13GeV, which could possibly be the ψ(4160)and the ψ(4415).
The small photoreceptor Photoactive Yellow Protein (PYP) enters a reversible photocycle after excitation with blue light. The intermediate states are formed on timescales ranging from femtoseconds to seconds including chromophore isomerization and protonation as well as large structural rearrangements. To obtain local dynamic information the vibrational label thiocyanate (SCN) can be inserted site-specifically at any desired position in the protein by cysteine mutation and cyanylation. The label's CN stretch vibration is highly sensitive to polarity, hydrogen bonding interactions and electric fields and is spectrally well separated from the overlapping protein absorptions. During the course of this thesis it was impressively demonstrated that the successful incorporation of the SCN label at selected positions in PYP provides a powerful tool to study structure changes and dynamics during the photocycle and enhance the local information that are obtained by infrared (IR) spectroscopic methods. Hence the SCN-labeled protein mutants were studied under equilibrium (steady-state) and non-equilibrium conditions.
Examination of the SCN absorption by FTIR spectroscopy showed the influence of various local environments on the label for different locations in the dark state. The response of the label under illumination with blue light reveals information about structural changes in the signaling state. Additional information for both states were obtained by the vibrational lifetime of the CN vibration measured via ultrafast IR-pump-IR-probe experiments. This observable is particularly sensitive for solvent exposure of the label. Time-resolved IR spectroscopy proved to be an excellent method to follow the protein dynamics throughout most part of the photocycle on a hundreds of femtoseconds to milliseconds timescale. By close inspection of protein and chromophore dynamics in wildtype-PYP over nine decades in time, new insights into the changes leading to the proposed photocycle intermediates were obtained. The investigation of the SCN label allowed to follow the different transient structure changes with high local resolution. Depending on its position within the protein the response of the label provided additional information on the photocycle transitions.
The insights that are obtained by the different observables in the steady-state and by the reaction of the SCN label to formation of the different intermediate states during the photocycle contribute to an improved understanding of local, light-induced structure changes in the photoreceptor PYP. This comprehensive study demonstrated the potential provided by the application of SCN as IR label for investigation of protein dynamics.
Hofstadter-Hubbard physics
(2020)
The Hofstadter model, besides the Haldane and Kane-Mele models, is the most common tight-binding model which hosts topologically nontrivial states of matter. In its time-reversal-symmetric formulation the model can even describe topological insulators. Experimentally, the Hofstadter model was realized with ultracold quantum gases in optical lattices which is a wellcontrolled way to engineer quantum states of tight-binding Hamiltonians. Another established control parameter in ultracold quantum gases are twoparticle, on-site interactions, also known as Hubbard interactions. This work aims at introducing the reader to the concepts of topological states of matter, a collection of corresponding tight-binding models, and the methodology to treat interacting topological states with dynamical mean-field theory.We present recent results for inhomogeneous, interacting systems, spinimbalanced magnetic systems, propose experimental detection methods, and extensions to three-dimensional topological states.
Understanding the hadron spectrum is one of the primary goals of non-perturbative QCD. Many predictions have experimentally been confirmed, others still remain under experimental investigation. Of particular interest is how gluonic excitations give rise to states with constituent glue. One class of such states are hybrid mesons that are predicted by theoretical models and Lattice QCD calculations. Searching for and understanding the nature of these states is a primary physics goal of the GlueX experiment at the CEBAF accelerator at Jefferson Lab. A search for a JPC = 1−− hybrid meson candidate, the Y(2175), in φ(1020)π+π+ and φ(1020)f0(980) channels in photoproduction on a proton target has been conducted. A first measurement of non-resonant φ(1020)π+π+ and φ(1020)f0(980) total cross sections in photoproduction has been performed. An upper limit on the resonance production cross section for the Y (2175) → φ(1020)π+π+ and Y (2175) → φ(1020)f0(980) channels are estimated. Since the analysis essentially depends on the quality of the charged kaon identification, also an optimization of particle identification through an improvement of the energy loss estimation in the central drift chamber by a truncated mean method has been investigated.
Proteine sind die Maschinen der Zellen. Um die Funktionalität von zahlreichen zellulären Prozessen zu gewährleisten, müssen Kommunikationssignale innerhalb von Proteinen weitergeleitet werden. Die Weiterleitung einer Störung an einem Ort im Protein zu einer entfernten Stelle, an welcher sie strukturelle und/oder dynamische Änderungen auslöst, wird Allosterie genannt. Zunächst wurde Allosterie hauptsächlich mit großräumigen Konformationsänderungen in Verbindung gebracht, aber später entwickelte sich ein dynamischerer Blickwinkel auf Allosterie in Abwesenheit dieser großräumigen Konformationsänderungen. Die Idee eines allosterischen Pfades bestehend aus konservierten und energetisch gekoppelten Aminosäuren, welche die Signalweiterleitung zwischen entfernten Stellen im Protein vermitteln, entstand. Diese allosterischen Pfade wurden durch zahlreiche theoretische Studien in Zusammenhang mit Pfaden effizienten anisotropen Energieflusses gebracht. Der Energiefluss entlang dieser Netzwerke verknüpft allosterische Signalübertragung mit Schwingungsenergietransfer (VET - vibrational energy transfer). Die Großzahl der Forschungsarbeiten über dynamische Allosterie basiert auf theoretischen Methoden, weil nur wenige geeignete experimentelle Verfahren existieren. Um diesen essentiellen biologischen Prozess der Informationsübertragung besser verstehen zu können, ist die Entwicklung neuer und leistungsstarker experimenteller Instrumente und Techniken daher dringend erforderlich. Die vorliegende Dissertation setzt sich dies zum Ziel.
VET in Proteinen ist aufgrund der Proteingeometrie inhärent anisotrop. Alle globulären Proteine besitzen Kanäle effizienten Energieflusses, von denen vermutet wird, dass sie wichtig für Proteinfunktionen, wie die schnelle Ableitung von überschüssiger Wärme, Ligandenbindung und allosterische Signalweiterleitung, sind. VET kann mit zeitaufgelöster Infrarot (IR) Spektroskopie untersucht werden, bei welcher ein Femtosekunden Anregepuls eines Lasers Schwingungsenergie in ein molekulares System an einer bestimmten Stelle injiziert und ein, nach einem veränderbarem Zeitintervall folgender, IR Abfragepuls die Ausbreitung dieser Schwingungsenergie detektiert. Ein protein-kompatibler und universell einsetzbarer Chromophor, der die Energie eines sichtbaren Photons in Schwingungsenergie konvertiert, wird als Heizelement benötigt um langreichweitige VET Pfade in Proteinen kartieren zu können. Der Azulen (Azu) Chromophor eignet sich dafür, weil er nach Photoanregung des ersten elektronischen Zustandes durch ultraschnelle interne Konversion fast die gesamte injizierte Energie innerhalb von einer Picosekunde in Schwingungsenergie umwandelt. Eingebettet in die nicht-kanonische Aminosäure (ncAA - non-canonical amino acid) ß-(1-Azulenyl)-L-Alanine (AzAla), kann der Azu Rest in Proteine eingebaut werden. Die Ankunft der injizierten Schwingungsenergie an einer bestimmten Stelle im Protein kann mithilfe eines IR Sensors detektiert werden. Die Kombination aus Azu als VET Heizelement und Azidohomoalanine (Aha) als VET Sensor mit transienter IR (TRIR) Spektroskopie wurde schon erfolgreich an kleinen Peptiden in der Dissertation von H. M. Müller-Werkmeister getestet, die der vorliegenden Dissertation in den Laboren der Bredenbeck Gruppe vorausging.
Die Schwingungsfrequenz chemischer Bindungen ist hochempfindlich auf selbst kleine Änderungen der Konformation und Dynamik in der unmittelbaren Umgebung und kann mit IR Spektroskopie gemessen werden, z. B. mit Fourier Transform IR (FTIR) Spektroskopie. IR Spektroskopie bietet eine außergewöhnlich gute Zeitauflösung, die es ermöglicht, dynamische Prozesse in Molekülen auf einer Zeitskala von wenigen Picosekunden zu beobachten, wie z. B. die ultraschnelle Weiterleitung von Schwingungsenergie. Mit zweidimensionaler (2D)-IR Spektroskopie können die Relaxation von schwingungsangeregten Zuständen und strukturelle Fluktuationen um die schwingende Bindung untersucht werden. Allerdings geht die herausragende Zeitauflösung mit limitierter spektraler Auflösung einher. In größeren Molekülen mit zahlreichen Bindungen überlagern sich die Schwingungsbanden und die Ortsauflösung geht verloren. Um diese Limitierung zu überwinden, können IR Marker benutzt werden, chemische Gruppen, die in einer spektral durchsichtigen Region des Protein/Wasser Spektrums (1800 bis 2500 cm-1) absorbieren. Als ncAA können sie kotranslational in Proteine an einer gewünschten Stelle eingebaut werden und so ortsspezifische Informationen aus dem Proteininneren liefern. Aufgrund ihrer geringen Größe, eines relativ großen Extinktionskoeffizientens (350-400 M-1cm-1) und einer hohen Empfindlichkeit auf Änderungen in der lokalen Umgebung sind organische Azide (N3) wie zum Beispiel Aha besonders geeignete IR Marker. Aha kann als Methionin Analogon ins Protein eingebaut werden.
...
This Dissertation deals with the development of FAIR-relevant X-ray diagnostics based on the interaction of lasers and particle beams with matter. The associated experimental methods are supposed to be employed in the HIHEX-experiments in the HHT-cave of the GSI Helmholtz Center for Heavy-Ion Research GmbH (GSI) in Phase-0 and in the APPA-cave at the Facility for Antiproton and Ion Research in Darmstadt, Germany.
Diagnostic of high aerial density targets that will be used in FAIR experiments demands intense and highly penetrating X-ray sources. Laser generated well-directe relativistic electron beams that interact with high Z materials is an excellent tool for generation of short-pulse high luminous sources of MeV-gammas.
In pilot experiments carried out at the PHELIX laser system, GSI Darmstadt, relativistic electrons were produced in a long scale plasma of near critical electron density (NCD) by the mechanism of the direct laser acceleration (DLA). Low density polymer foam layers preionised by a well-defined nanosecond laser pulse were used as NCD targets. The analysis of the measured electron spectra showed up to 10- fold increase of the electron "temperature" from T_Hot = 1–2 MeV, measured for the case of the interaction of 1–2 ×10^19 Wcm^(−2) ps-laser pulse with a planar foil, up to 14 MeV for the case when the relativistic laser pulse propagates through the by a ns-pulse preionised foam layer. In this case, up to 80–90 MeV electron energy was registered. An increase of the electron energy was accompanied by a strong increase of the number of relativistic electrons and well-defined directionality of the relativistic electron beam measured to be (12 ±1)° (FWHM). This directionality increases the gamma flux on target by far compared to the soft X-ray sources.
Additionally to laser based active diagnostics, passive techniques involving inherent X-ray fluorescence radiation of projectile and target emitted during heavy-ion target interaction can be used to measure the ion beam distribution on shot. This information is of great importance, since the target size is chosen to be smaller than the beam focus in order to ensure homogeneous heating of the HIHEX-target by the ion beam. High amounts of parasitic radiation and activation of experimental equipment is expected for experiments at the APPA-cave. For this reason, all electronic devices must be placed at a safe distance to the target chamber. In order to transport the signal over a large distance, the X-ray image of the target irradiated by heavy-ions has to be converted into an optical one.
For these purposes, the X-ray Conversion to Optical radiation and Transport (XCOT)-system was developed in the frame of a BMBF-project and commissioned in two beamtimes at the UNILAC, GSI during this work.
In experiments, we observed intense radiation of target atoms (K-shell transitions in Cu at 8–8.3 keV and L-shell transition in Ta) ionised in collisions with heavy ions as well as Doppler-shifted L-shell transitions of Au-projectiles passing through targets. This radiation can be used for monochromatic (dispersive elements like bent crystals) or polychromatic (pinhole) 2D X-ray mapping of the ion beam intensity distribution in the interaction region during the beam-target interaction. We measured the efficiency of the X-ray photon production depending on the target thickness and the number of ions passing through the target. The spatial resolution of the XCOT-system based on the multi-pinhole camera was measured to be (91±17) μm for the image magnification factor M = 2. It was considerably improved by application of a toroidally bent quartz crystal and reached 30 μm at M = 6. This resolution is optimal to image the distribution of a 1mm in diameter ion beam. As next step, the XCOT-system will be tested during the SIS18 beam-time at the HHT-experimental area.
Im Rahmen dieser Arbeit wurde ein Reaktionsmikroskop (REMI) nach dem Messprinzip COLTRIMS (Cold Target Recoil Ion Momentum Spectrometry) neu konstruiert und aufgebaut. Die Leistungsfähigkeit des Experimentaufbaus konnte sowohl in diversen Testreihen als auch anschließend unter realen Messbedingungen an der Synchrotronstrahlungsanlage SOLEIL und am endgültigen Bestimmungsort SQS-Instrument (Small Quantum Systems) des Freie-Elektronen-Lasers European XFEL (X-ray free-electron laser) eindrucksvoll unter Beweis gestellt werden.
Mit der Experimentiertechnik COLTRIMS ist es möglich, alle geladenen Fragmente einer Wechselwirkung eines Projektilteilchens mit einem Targetteilchen mittels zweier orts- und zeitauflösender Detektoren nachzuweisen. In einem Vakuumrezipienten wird die als Molekularstrahl präparierte Targetsubstanz inmitten der Hauptkammer zentral mit einem Projektilstrahl (z.B. des XFEL) zum Überlapp gebracht, sodass dort eine Wechselwirkung stattfinden kann. Bei den entstehenden Fragmenten handelt es sich um positiv geladene Ionen sowie negative geladene Elektronen. Elektrische Felder, erzeugt durch eine Spektrometer-Einheit, sowie durch Helmholtz-Spulen erzeugte magnetische Felder ermöglichen es, die geladenen Fragmente in Richtung der Detektoren zu lenken. Die Orts- und Zeitmessung eines einzelnen Teilchens (z.B. eines Ions) findet in Koinzidenz mit den anderen Teilchen (z.B. weiteren Ionen bzw. Elektronen) statt. Mit dieser Messmethode können die Impulsvektoren und Ladungszustände aller geladenen Fragmente in Koinzidenz gemessen werden. Da hierbei die geometrische Anordnung der einzelnen Komponenten für die Leistungsfähigkeit des Experiments eine entscheidende Rolle spielt, mussten bei der Neukonstruktion des COLTRIMS-Apparates für den Einsatz an einem Freie-Elektronen-Laser (FEL) einige Rahmenbedingungen erfüllt werden. Besonders wurden die hohen Vakuumvoraussetzungen an den Experimentaufbau aufgrund der enormen Lichtintensität eines FEL beachtet. Das Zusammenspiel der vielen Einzelkomponenten konnte zunächst in mehreren Testreihen überprüft werden. Unter anderem durch Variation der Vakuumbauteile in Material und Beschaffenheit konnten die zuvor ermittelten Vorgaben schließlich erreicht werden. Das neu konstruierte Target-Präparationssystem zur Erzeugung molekularer Gasstrahlen erlaubt nun den Einsatz von bis zu vier unterschiedlich dimensionierten, differentiell gepumpten Stufen. Zudem wurden hochpräzise Piezo-Aktuatoren verbaut, welche die Bewegung von Blenden im Vakuum erlauben, wodurch eine variable Einstellung des lokalen Targetdrucks ermöglicht wird. Die Anpassung der elektrischen Felder des Spektrometers für ein jeweiliges Experiment wurde mittels Simulationen der Teilchentrajektorien, Teilchenflugzeiten sowie der Detektorauflösung durchgeführt.
Da die in dieser Arbeit besprochenen Messungen und Ergebnisse die Wechselwirkungsprozesse von Röntgenstrahlung bzw. Synchrotronstrahlung mit Materie thematisieren, wird die Erzeugung von Synchrotronstrahlung sowohl in Kreisbeschleunigern als auch in den modernen Freie-Elektronen-Lasern (FEL) erklärt und hergeleitet. Der im Röntgenbereich arbeitende Freie-Elektronen-Laser European XFEL, welcher u.A. als Strahlungsquelle für die hier gezeigten Experimente diente, ist eine von derzeit noch wenigen Anlagen ihrer Art weltweit. Seine Lichtintensität in diesem Wellenlängenbereich liegt bis zu acht Größenordnungen über den bisher verwendeten Anlagen für Synchrotronstrahlung.
Beim ersten Einsatz der neuen Apparatur an der Synchrotronstrahlungsanlage SOLEIL wurde der ultraschnelle Dissoziationsprozess von Chlormethan (CH3Cl) untersucht. Während des Zerfallsprozesses nach Anregung durch Röntgenstrahlung werden hochenergetische Auger-Elektronen emittiert, welche in Koinzidenz mit verschiedenen Molekülfragmenten nachgewiesen wurden. Durch den Zerfallsmechanismus der ultraschnellen Dissoziation wird die Auger-Elektronenemission nach resonanter Molekülanregung während der Dissoziation des Moleküls beschrieben. Die kinetische Energie des Auger-Elektrons ist dabei abhängig von seinem Emissionszeitpunkt. Somit können die gemessenen Auger-Elektronen ein „Standbild“ der zeitlichen Abfolge des Dissoziationsprozesses liefern.
Es wird eine detaillierte Beschreibung der Datenanalyse vorgenommen, welche aus Kalibrationsmessungen und einer Interpretation der Messdaten besteht. Die abschließende Betrachtung besteht in der Darstellung der Elektronenemissionswinkelverteilungen im molekülfesten Koordinatensystem. Die Winkelverteilung der Auger-Elektronen wird am Anfang der Dissoziation vom umgebenden Molekül- potential beeinflusst und zeigt deutliche Strukturen entlang der Bindungsachse. Entfernen sich die Bindungspartner voneinander und das Auger-Elektron wird währenddessen emittiert, so verschwinden diese Strukturen zunehmend und eine Vorzugsemissionsrichtung senkrecht zur Molekülachse wird sichtbar.
Die Analyse der Messdaten zur Untersuchung von Multiphotonen-Ionisation an Sauerstoff-Molekülen am Freie-Elektronen-Laser European XFEL ermöglichte unter anderem die Beobachtung „hohler Moleküle“, also Systemen mit Doppelinnerschalen- Vakanzen. Solche Zustände können vor allem durch die sequentielle Absorption zweier Photonen entstehen, wobei die hierbei nötige Photonendichte nur von FEL- Anlagen bereit gestellt werden kann. Hier konnte das Ziel erreicht werden, erstmalig die Emissionswinkelverteilungen der Photoelektronen von mehrfach ionisierten Sauerstoff-Molekülen (O+/O3+-Aufbruchskanal) als Folge der ablaufenden Mechanismen femtosekundengenau zu beobachten. Hierzu wurde ein vereinfachtes Schema der verschiedenen Zerfallsschritte erstellt und schließlich ermittelt, dass der Zerfall durch eine PAPA-Sequenz beschrieben werden kann. Bei dieser handelt es sich um die zweimalige Abfolge von Photoionisation und Auger-Zerfall. Somit werden vier positive Ladungen im Molekül erzeugt. Das zweite Photon des XFEL wird dabei während der Dissoziation der sich Coulomb-abstoßenden Fragmente absorbiert, weshalb es sich um einen zweistufigen Prozess aus Anrege- und Abfrage- Schritt (Pump-Probe) handelt. Schlussendlich gelang zudem der Nachweis von Doppelinnerschalen-Vakanzen im Sauerstoff-Molekül nach Selektion des O2+/O2+- Aufbruchkanals. Hierfür konnten die beiden Möglichkeiten einer zweiseitigen oder einseitigen Doppelinnerschalen-Vakanz getrennt betrachtet werden und ebenfalls erstmalig das Verhalten der Elektronenemission dieser beiden Zustände verglichen werden.
This thesis discusses important questions of the beam dynamics in the proton-lead operation in the Large Hadron Collider (LHC) at CERN in Geneva. In two time blocks of several weeks in the years 2013 and 2016, proton-lead collisions have so far been successfully generated in the LHC and used by the experiments at the LHC. One reason for doubts regarding the successful operation in proton-lead configuration was the fact that the beams have to be accelerated with different revolution frequencies. There is long-range repulsion between the beams, since both beams share the beam chamber around the interaction points. Because of the different revolution frequencies, the positions of the interaction between the beams shift each revolution. This can lead to resonant excitation and to an increase in the transverse beam emittance, as was observed in the Relativistic Heavy-Ion Collider (RHIC). In this thesis, simulations for the LHC, RHIC and the High-Luminosity Large Hadron Collider (HL-LHC) are performed with a new model. The results for RHIC show relative growth rates of the emittances of the gold beam in gold-deuteron operation in RHIC from 0.1 %/s to 1.5 %/s. Growth rates of this magnitude were observed experimentally in RHIC. Simulations for the LHC show no significant increase of the emittance of the lead beam for different intensities of the counter-rotating beam. The simulation results confirm the measured stability of the beams in the LHC and the issue of strongly increasing emittances in RHIC is reproduced. Also, no significant increase of the emittance is predicted for the Future Circular Collider (FCC) and the HL-LHC.
Using a frequency-map analysis, this work verifies whether the interaction of the lead beam with the much smaller proton beam in the proton-lead operation of the LHC leads to diffusion within the lead beam. Experiences at HERA at DESY in Hamburg and at SppS at CERN have shown that the lifetime of the larger beam can rapidly decrease under certain circumstances. The results of the simulation show no chaotic dynamics near the beam centre of the lead beam. This result is supported by experimental observation.
A program code has been developed which calculates the beam evolution in the LHC by means of coupled differential equations. This study shows that the growth rates of the lead beam due to intra-beam scattering is overestimated and that particle bunches of the lead beam lose more intensity than assumed in the model. The analysis also shows that bunches colliding in a detector suffer additional losses that increase with decreasing crossing angle at the interaction point.
In this work, 2016 data from beam-loss monitors in combination with the luminosity and the loss rate of the beam intensity are used to determine the cross section of proton-lead collisions at the center-of-mass energy of 8.16 TeV. Beam-loss monitors that mainly detect beam losses that are not caused by the collision process itself are used to determine the total cross section via regression. An analysis of the data recorded in 2016 at the center-of-mass energy of 8.16 TeV resulted in a total cross section of σ=(2.32±0.01(stat.)±0.20(sys.)) b. This corresponds approximately to a hadronic cross section of σ(had)=(2.24±0.01(stat.)±0.21(sys.)) b. This value deviates only by 5.7 % from the theoretical value σ(had)=(2.12±0.01) b.
The simulation code for determining the beam evolution is also used to estimate the integrated luminosity of a future one-month run with proton-lead collisions. The result of the study shows that in the future the luminosity in the ATLAS and CMS experiments will increase from 15/nb per day in 2016 to 30/nb per day, which is a significant increase in terms of the performance. This operation, however, requires the use of the TCL collimators to protect the dispersion suppressors at ATLAS and CMS from collision fragments.
This work also gives an outlook on the expected luminosity production in proton-nucleus operation using ion species lighter than lead ions. For example, a change from proton-lead to proton-argon collisions would increase the integrated luminosity from monthly 0.8/nb to 9.4/nb in ATLAS and CMS. This is an increase of one order of magnitude and approximately a doubling of the integrated nucleon-nucleon luminosity. There may be a test operation with proton-oxygen collisions in 2023, which will last only a few days and will be operated with a low luminosity. The LHCf experiment (LHCb experiment) would achieve the desired integrated luminosity of 1.5/nb (2/nb) within 70h (35h) beam time.
Chiralität ist in der belebten Natur ein omnipräsentes Phänomen und beschreibt die Symmetrieeigenschaft eines Objektes, dass dieses von seinem Spiegelbild unterscheidbar ist. Die bisherigen Untersuchungen der Wechselwirkung zwischen chiralen Molekülen und Licht fokussieren sich auf das Regime der Ein- und Multiphoton-Ionisation und wird mit dieser Arbeit um Untersuchungen im Starkfeldregime erweitert. Im Rahmen dieser Arbeit wurden Experimente an einzelnen chiralen Molekülen in starken Laserfeldern vorbereitet, durchgeführt, analysiert und alle geladenen Fragmente in Koinzidenz untersucht.
Die Präsentation der Ergebnisse orientierte sich an der Reihenfolge, in der auch die Datenauswertung von Vielteilchenaufbrüchen vonstattengeht: Zunächst wurde der Dichroismus in den Photoionen (PICD) auf chirale Signale in integraler differentieller Form untersucht, dann wurde die Asymmetrien in den Elektronenverteilungen vorgestellt und abschließend die Zusammenhänge zwischen den Ionen- und Elektronenverteilungen aufgezeigt.
Kapitel 6 untersuchte die (differentielle) Ionisations- und Fragmentationswahrscheinlichkeit von verschiedenen chiralen Molekülen. Die in Kapitel 6.1 präsentierten Daten verknüpften erstmals den bereits in der Literatur diskutierten Zirkulardichroismus in den Zählraten von Photoionen (PICD) mit dem signalstärkeren differentiellen PICD in der Einfachionisation von Methyloxiran. Dissoziiert das Molekül nach der Ionisation rasch genug, gewährt der Impulsvektor des geladenen Fragments Zugang zu einer Fragmentationsachse. Durch die Auflösung nach einer Molekülachse ist der beobachtete PICD fast eine Größenordnung stärker, als der über alle Raumrichtungen integrierte.
In steigender Komplexität wurde in Kapitel 6.2 eine Fragmentation in vier Teilchen von Molekülen aus einem racemischen Gemisch von CHBrClF untersucht. Über die Auswertung eines Spatproduktes aus den Impulsvektoren konnte für jedes Molekül dessen Händigkeit bestimmt und der vollständig differentielle PICD untersucht werden. Durch das Festhalten einer Fragmentationsachse (analog zu Kapitel 6.1) konnten um einen Faktor vier stärkere PICD-Signale und durch das Auflösen nach der vollständigen Molekülorientierung die Signalstärke des PICD um einen Faktor von etwa 16 in den Bereich einiger Prozente gebracht werden. Leider übersteigt die theoretische Beschreibung dieses Prozesses den aktuellen Stand der Forschung weit. Daher kann nicht ausgeschlossen werden, dass nicht ein Beitrag zur PICD-Signalverstärkung auch aus der Dynamik der sequentiellen vielfachen Ionisation stammt.
Die untersuchte Reaktion in Kapitel 6.3 war der Fünf-Teilchenaufbruch der achiralen Ameisensäure. In der Messung aller ionischen Fragmente konnten analog zu dem vorherigen Kapitel die internen Koordinaten sowie die Orientierung des Moleküls ermittelt werden. Tatsächlich wurde von einer chiralen Fragmentation der achiralen Ameisensäure berichtet. Welches Enantiomer in der Fragmentation beobachtet wird, hängt maßgeblich von der Molekülorientierung relativ zum ionisierenden Laserpuls ab. Diese Erkenntnis könnte zu neuen Ansätzen für Laserkatalysierte enantioselektive Reaktionen führen. Darüber hinaus konnte gezeigt werden, dass die beobachtete Händigkeit des Moleküls nicht nur von seiner Orientierung, sondern auch von der Helizität des ionisierenden Laserpulses abhängt. Dieser differentielle PICD an der Ameisensäure zeigte sich neben einer sehr großen Signalstärke von über 20 % auch als sensitive Probe für die molekulare Struktur.
In Kapitel 7 wurden die Untersuchungen an den 3-dimensionalen Impulsverteilungen der Photoelektronen vorgestellt. Zunächst wird hierzu auf die allgemeine Form des Dichroismus in den Photoelektronen (PECD) im Starkfeldregime eingegangen und die vorherrschenden Symmetrien des Ionisationsregimes herausgearbeitet (Kapitel 7.1). Mit leicht steigender Komplexität konnte eine klare Verbindung zwischen der Asymmetrie in der Elektronenverteilung und dem Schicksal des zurückbleibenden molekularen Ions anhand der Einfachionisation von Methyloxiran herausgearbeitet werden (Kapitel 7.2). Dies hat eine wichtige Auswirkung auf die Nutzbarkeit des PECD im Starkfeldregime als Analysemethode für Chemie und Pharmazie: Der über alle Fragmentationskanäle integrierte PECD ist sensitiv auf die Gewichtung der Fragmente und damit auch auf beispielsweise die maximale Laserintensität. Die Daten legen nahe, dass die Abhängigkeit des PECD von dem Fragmentationskanal auf die unterschiedliche Auswahl von Subensembles molekularer Orientierungen zurückzuführen ist.
Bei Verwendung von elliptisch polarisiertem Licht treten gegenüber der zirkularen Polarisation eine Reihe neuer Effekte auf (Kapitel 7.3). Zunächst zeigt der PECD auch im Starkfeldregime eine nicht lineare Sensitivität auf den Polarisationszustand, welche sich auch als Funktion des Elektronentransversalimpulses und dem Fragmentationskanal ändert. Somit ist die Verwendung von elliptisch polarisiertem Licht bestens für die chirale Erkennung geeignet, wie inzwischen auch in der Literatur bestätigt wurde. Darüber hinaus führt die gebrochene Rotationssymmetrie bei elliptisch polarisiertem Licht zu einer Elektronenimpulsverteilung, welche selbst chiral ist: Der PECD variiert je nach Winkel φ in der Polarisationsebene, wobei die Extrema des PECD nicht mit den Maxima der Zählraten übereinstimmen. Als neue chirale Beobachtungsgröße konnten wir eine enantiosensitive und vorwärts-/rückwärtsasymmetrische Rotation der Zählratenmaxima einführen. Als abgeleitete Größe aus derselben drei-dimensionalen Elektronenverteilung ist diese Beobachtungsgröße jedoch untrennbar verknüpft mit dem ϕ-abhängigen PECD.
Kapitel 8 verknüpfte das (partielle) Wissen um die molekulare Orientierung und den PICD mit den Asymmetrien der Elektronenverteilung für die Messung der fünffach-Ionisation von Ameisensäure (Kapitel 8.1), der vierfach-Ionisation von CHBrClF (Kapitel 8.2) und der Einfachionisation von Methyloxiran (Kapitel 8.3). Im Datensatz der Ameisensäure und dem des CHBrClF zeigte die molekulare Orientierung einen größeren Einfluss auf die Asymmetrie in der Elektronenverteilung als das Enantiomer oder die Helizität des Lichtes. Diese Verknüpfung zwischen Molekülorientierung und Elektronenasymmetrie überträgt die Asymmetrien des PICD auf die Elektronenverteilung. Die Messung an Methyloxiran relativiert diesen Zusammenhang jedoch in dem dieser in dieser Stärke nur bei manchen Fragmentationskanälen auftritt. Offenbar ist die Übertragung der Asymmetrie der differentiellen Ionisationswahrscheinlichkeit nur einer der Mechanismen, welcher zu Elektronasymmetrien im Starkfeldregime führt.
To gain a better understanding of complex mechanisms in biological systems, simultaneous control over multiple processes is key. To this purpose selective photouncaging has been developed. Photo-uncaging is an experimental scheme in which a molecule of interest has been inactivated synthetically and is activated by light. Usually a bond is cleaved and a leaving group is set free. The molecule which inactivates the molecule of interest and sets the leaving group free is called (photo-)cage. In a selective photo-uncaging scheme a number of leaving groups can be released independently, usually by irradiation with light of different wavelengths. This approach is, however, seriously limited in its applicability due to the properties of the involved cages and irradiation schemes. A major drawback is the usually quite broad UV-Vis absorption of the cages. This makes a selective activation by light difficult and limits the maximal number of independent cages severely.
Therefore, the aim of this thesis is to introduce the Vibrationally Promoted Electronic Resonance (VIPER) 2D-IR pulse sequence in a alternative selective uncaging scheme.
The VIPER 2D-IR pulse sequence is a spectroscopic tool which allows to generate 2D-IR signals whose lifetime are independent of the vibrational relaxation lifetime. It has been first used to monitor chemical exchange. It consists of a narrowband infared pump pulse, a subsequent UV-Vis pump pulse and a broadband infrared probe pulse. The UV-Vis pump pulse is off-resonant with regard to the UV-Vis absorption band. Electronic excitation becomes only possible, if the infrared pump pulse modulates the UV-Vis transition of the IR-excited molecule. This modulation brings the UV-Vis transition in resonance with the UV-Vis pump pulse. Thereby, only the molecules which were pre-excited with the infrared pulse can be excited into the electronically excited state. A computational prediction of the modulation was carried out by Jan von Cosel in the Burghardt group.
The narrowband infrared pump pulse can be used to selectively excite a subensemble of molecules in a mixture into an electronically excited state even if the UV-Vis spectra of all molecules are virtually identical. For this the sub-ensemble needs to exhibit an identifiable infrared spectrum. Combined with the introduction of isotope labels, which lead to changes in the infrared absorption spectra, the larger selectivity in the infrared region can be exploited for an alternative selective uncaging approach. In VIPER uncaging the infrared pump pulse selects the species and the subsequent UV-Vis pulse provides the energy needed for electronic excitation upon which the photo cleavage can occur.
After an introduction of the principle idea of uncaging and VIPER spectroscopy, the concept of VIPER uncaging is introduced and its limits and requirements are discussed. Some examples for possible VIPER cages are reviewed.
A coumarin molecule (7-diethylamino coumarin) which can release an azide group was chosen as a first test molecule for VIPER uncaging. Its isotopomers were characterized to determine suitable spectroscopic markers for successful uncaging and to find fitting experimental conditions. The chosen coumarin cage has an UV-Vis absorption band at approximately 380 nm and a steep flank on the high wavelength side of the band. The quantum yield for the azide compound is between 10-20 % depending on the solvent’s water content. The release was found to be on a picosecond timescale which is among the fastest known photo reactions, but the photo reaction mechanism has proven to be not straightforward. For the VIPER experiment on the mixture two isotopomers were chosen with a 13C atom at different positions. In one species a ring mode of the coumarin is changed by the 13C atom. In the other isotopomer the carbonyl stretching mode is influenced. The change in the ring mode region allows to select one species or the other with the infrared pre-excitation. Because of experimental difficulties only isotopomers with the same leaving group could be used. The successful selective electronic excitation of the individual isotopomers in a mixture was monitored by probing the carbonyl region.
As a second VIPER cage, para-hydroxyphenacyl (pHP) was chosen. A thiocyanate group was selected as leaving group. pHP cages have their electronic transition in the UV, with a maximum absorption at 290 nm. The shape of the spectrum is suitable and the quantum yield is very high, with values in the literature of up to 90 %. Also the photo reaction is well studied and the expected byproducts are well characterized. The chosen isotopologues were characterized spectroscopically. The resulting data on the photo reaction were in agreement with the mechanism proposed in the literature. The mixture for the VIPER experiment consisted of two isotopologues, where for one species all the C atoms in the ring were labelled and for the other the C-atom in the thiocyanate leaving group was labelled. Here the release of the different leaving groups, labelled and unlabelled thiocyanate, could be monitored selectively. This shows that it is possible to selectively release a molecule in a mixture of caged molecules by applying the VIPER pulse sequence.
The samples were synthesized by Matiss Reinfelds from the Heckel group and the VIPER experiments were done together with Carsten Neumann and with support
of the Bredenbeck group.
The leaving groups were chosen because of their infrared absorption which allowed to directly monitor the successful cleavage by spectroscopy. This was needed for the proof-of-concept experiment and to allow direct optimization of the experimental parameters but is not necessarily a requirement for VIPER uncaging.
Concerning the selectivity of the VIPER uncaging, the approach is at the moment mainly limited by the infrared pulse energy. The selective VIPER excitation is competing with unselective excitation directly by just the UV-Vis pulse. A more intense infrared pump pulse would increase only the selective VIPER excitation and thereby improve the contrast to the unspecific background.
To address this issue, the first steps towards an alternative infrared light generation are undertaken. In this alternative approach the infrared light for preexcitation is directly generated by difference frequency generation of the laser output, i.e. the high energy 800 nm fundamental, and the output of a non-collinear optical parametric amplifier (NOPA). To achieve a narrowband pump pulse the pulses are chirped before mixing. In the scope of this thesis a NOPA has been installed and the mixing has been tested with available test crystal medium. While infrared wavelength region and power were not in the aspired range with this alternative crystal the feasibility of mixing between a NOPA output and the fundamental could be shown.
Other possibilities to increase the contrast to the unspecific background excitation by the UV-Vis pump pulse are discussed. For most applications of selective VIPER uncaging the detection by fs-laser spectroscopy will not be needed and could be replaced by other methods e.g. chromatography. This will allow the experimental parameters of the VIPER pulse sequence to be changed in a way which reduces unspecific excitation i.e. reducing the UV-Vis-pump energy and result in much better contrast.
In conclusion, the experimental data in this thesis shows the VIPER pulse sequence to be applicable to selective uncaging schemes and indicates measures to arrive at the specificity necessary for uncaging applications. This thesis was focused on uncaging photo reactions with isotopomers and isotopologues, but other types of photo reactions could in principle be controlled in the same way. It should be possible to address different isomers in mixtures or different ground states of proteins selectively. The discussed experiments are a significant step towards control over photo reactions in mixtures.
Cortical circuits exhibit highly dynamic and complex neural activity. Intriguingly, cortical activity exhibits consistently two key features across observed species and brain areas. First, individual neurons tend to be co-active in spatially localized domains forming orderly arranged, modular layouts with a typical spatial scale. Second, cortical elements are correlated in their activity over large distances reflecting long-range network interactions distributed over several millimeters. Currently, it is unclear how these two fundamental properties emerge in the early developing cortical activity.
Here, I aim to fill this gap by combining analyses of chronic imaging data and network models of developing cortical activity. Neural recordings of spontaneous and visually evoked activity in primary visual cortex of ferrets during their early cortical development were obtained using in vivo 2-photon and widefield epi-fluorescence calcium imaging. Spontaneous activity was used to probe the early state of cortical networks as its spatiotemporal organization is independent of a stimulus-imposed structure, and it is already present early in cortical development prior to reliably evoked responses. To assess the mature functional organization of distributed networks in cortex, the tuning of neural responses to stimulus features, in particular to the orientation of an edge-like stimulus, was assessed. Cortical responses to moving gratings of varying orientations form an orderly arranged layout of orientation domains extending over several millimeters.
To begin with, I showed that spontaneous activity correlations extend over several millimeters, supporting the assumption of using spontaneous activity to assess distributed networks in cortex.
Next, I asked how distributed networks in the mature visual cortex - assessed by spontaneous activity correlations - are related to its fine-scale functional organization. I found that the spatially extended and modular spontaneous correlation patterns accurately predict the fine spatial structure of visually evoked orientation domains several millimeters away. These results suggest a close relation between spontaneous correlations and visually evoked responses on a fine spatial scale and across large spatial distances.
As the principles governing the functional organization and development of distributed network interactions in the neocortex remain poorly understood, I next asked how long range correlated activity arises early in development. I found that key features of mature spontaneous activity introduced in this work, including long-range spontaneous correlations, were present already early in cortical development prior to the maturation of long-range, horizontal connections, and the predicted mature orientation preference layout. Even after silencing feed-forward input drive by inactivating retina or thalamus, long-range correlated and modular activity robustly emerged in early cortex. These results suggest that local recurrent connections in early cortical circuits can generate structured long-range network correlations that guide the formation of visually-evoked distributed functional networks.
To investigate how these large-scale cortical networks emerge prior to the maturation and elaboration of long-range horizontal connectivity, I examined a statistical network model describing an ensemble of spatially extended spontaneous activity patterns. I found a direct relationship between the dimensionality of this ensemble of activity patterns and the decay of its correlation structure. Specifically, reducing the dimensionality of the ensemble leads to an increase in the spatial range of the correlation structure.
To test whether this mechanism could generate a long-range correlation structure in cortical circuits, I studied a dynamical network model implementing a dimensionality reduction mechanism. Based on previous work demonstrating that network heterogeneity reduces the dimensionality of activity patterns, I showed that by increasing the degree of heterogeneity in the network, the dimensionality of the ensemble of activity patterns decreases and in turn their correlations extend over a greater range. A comparison to experimental data revealed a quantitative match between the network model and the observations in vivo in several of the key features of the early cortex including the spatial scale of correlations. Low dimensionality of spontaneous activity thus might provide an organizational principle explaining the observed long-range correlation structure in the early cortex.
Finally, I asked whether a network with a biologically plausible architecture can generate modular activity. Several classical models showed that modular activity patterns can emerge via an intracortical mechanism involving lateral inhibition. However, this assumption appears to be in conflict with current experimental evidence. Moreover, these network models were not experimentally tested, so far. Here, I showed by using linear stability analysis that spatially localized self-inhibition relaxes the constraints on the connectivity structure in a network model, such that biologically more plausible network motifs with shorter ranging inhibition than excitation can robustly generate modular activity.
Importantly, I also provided several model predictions to make the class of network models experimentally testable in view of recent technological advancements in imaging and manipulation of cortical circuits. A critical prediction of the model is the decrease in spacing of active domains when the total amount of inhibition increases. These results provide a novel mechanism of how cortical circuits with short-range inhibition can form modular activity.
Taken together, this thesis provides evidence that the two described fundamental features of neural activity are already present in the early cortex and shows that activity with those features can be generated in network models with an architecture consistent with the early cortex using basic principles.
In this work a nonlinear evolution of pure states of a finite dimensional quantum system is introduced, in particular a Riccati evolution equation.
It is shown how this class of dynamics is actually a Hamiltonian dynamics in the complex projective space.
In this projective space it is shown that there is a nonlinear superposition rule, consistent with its linear counterpart in the Hilbert space. As an example, the developed nonlinear formalism is applied to the semiclassical Jaynes–Cummings model.
Later, it is shown that there is an inherent nonlinear evolution in the dynamics of the so-called generalized coherent states.
To show this, the fact that in quantum mechanics it is possible to immerse a ''classical'' manifold into the Hilbert space is employed, such that one may parametrize the time-dependence of the wave function through the variation of parameters in the classical manifold.
The immersion allows to consider the so-called principle of analogy, i.e. using the procedures and structures available from the classical setting to employ them in the quantum setting.
Finally, it is introduced the contact Hamiltonian mechanics, an extension of symplectic Hamiltonian mechanics, and it is showed that it is a natural candidate for a geometric description of non-dissipative and dissipative systems.
The last decades have brought tremendous progress in understanding the phase structure of the strongly interacting matter. This has been driven by studying heavy-ion collisions on the experimental side and Lattice QCD, functional approaches to QCD, perturbation theory and effective theories on the theoretical side. Of particular interest is the transition from hadrons to partonic degrees of freedom which is expected to occur at high temperatures or high baryon densities. These phases play an important role in the early universe and the core of neutron stars. Nowadays, the existence of a deconfined phase, i.e. Quark Gluon Plasma (QGP) and its phase transition at vanishing and small net-baryon densities, are well established. However, the situation at larger densities is less clear.
Complementary to the studies of matter at high temperatures and low net-baryon densities performed at RHIC and LHC, the proposed Compressed Baryonic Matter (CBM) experiment at the future FAIR facility, aims to explore the QCD phase diagram at very high baryon-net densities and moderate temperatures. The CBM research program includes the search for the deconfinement phase transition, the study of chiral symmetry restoration in super dense baryonic matter, the search for the critical endpoint, and the study of the nuclear equation of state at high densities. While other experiments (STAR-BES at BNL, BM@N at NICA) are suited to measure bulk observables, CBM is explicitly designed to access rare observables, such as multi-strange hadrons, dileptons, hypernuclei and charmonium. Therefore, a key feature of CBM is the very high interaction rate, exceeding those of contemporary and proposed nuclear collision experiments by several orders of magnitude. However, some of the rare probes have a complex signature, hidden in a background of several hundreds of charged tracks. This forbids a conventional, hardware-triggered readout; instead, the experiment combines self-triggered front-end electronics, fast and free-streaming data transport, online event reconstruction and online event selection.
The central detector for tracking and momentum determination of charged particles in the CBM experiment is the Silicon Tracking System (STS). It is designed to measure up to 700 charged particles in nucleus-nucleus collisions between 0.1 and 10 MHz interaction rate, to achieve a momentum resolution in 1 Tm dipole magnetic field better than 2%, and to be capable of identifying complex particle decays topologies, e.g., such with strangeness content. The STS comprises 8 tracking stations equipped with double-sided silicon microstrip sensors. Two million channels are read out with self-triggering electronics, matching the data streaming and on-line event analysis concept applied throughout the experiment. The detector’s functional building block consists of a silicon sensor, aluminum-kapton microcables and two front-end electronics boards integrated in a module. The custom-designed ASIC (STS-XYTER) implements the analog front-end, the digitizer and the generation of individual hit data for each signal.
Design of the front-end chip requires finding an optimal solution for time and input charge measurements with tight constraints: small area (58 μm channel pitch), low noise levels (below 1500 ENC(e− )), low power consumption (610 mW/channel), radiation hard architecture and speed requirements. Being a part of the first processing stage in the full readout and data acquisition chain, the characterization of the chip and its integration with the detector components is a crucial task. In this work, various methods and tools are established for testing and qualifying the ASIC analog front-end. A procedure for amplitude and timing calibration is developed using different functionalities of the chip. The procedure is optimized for our prototype system in order to achieve the best accuracy in the shortest amount of time. Results were verified using a gamma source and an external pulse generator, showing discrepancies below 5%.
Among the multiple operation requirements of the ASIC, the noise performance is of essential importance. The characterization of the chip noise is carried out as a function of a large number of parameters such as: low-voltage power regulators, input capacitance, shaping time, temperature and bond’s protective glue (glob-top). These studies allowed to optimize the ASIC configuration settings, to identify possible malfunctions in the low voltage powering scheme and to select possible glob-top materials to be used in the module assembly. Moreover, important differences are found among odd and even channels, which main cause was related to the bias scheme of the amplifiers of the two groups of channels. This effect has been corrected in the new version (v2.1) of the ASIC.
Despite the STS front-end electronics being located outside of the physics acceptance, they will be exposed to high fluxes of charged particles. Considering the SIS100 possible running scenario, the lifetime dose at the location of the electronics is expected not to exceed 800 krad. Consequently, the STS-XYTERv2 ASIC implements a radiation hard design based on dual-interlocked cells (DICE), and triple modular redundancy (TMR).
Multiple dedicated beam campaigns were carried out to evaluate the ASIC’s design in terms of immunity to single event upsets (SEU) errors and overall performance after a lifetime doses. The DICE cell SEU cross section was measured in a high-intensity proton beam. Result show a significant improvement of the SEU immunity in the STS-XYTERv2 compared to its predecessor, and allows to estimate the upset rate in the CBM running scenario, resulting in less than one SEU/ASIC/day.
The studies on the total ionizing dose (TID) show that the overall noise levels for the ASIC, at the end of the experiment lifetime, are expected to increase by approximately 40 – 60%. Moreover, they demonstrated that short periods of annealing at room temperature can favorably influence the noise performance of the chip.
The assembly and test of the STS modules, a complex process with multiple stages and a long learning curve, is illustrated in different parts of this work. The first prototype modules were built with the front-end board type B (FEBs-B), capable of reading out 128 channels for p and n side respectively. The studies were conducted with a relativistic proton beam of 1.7 GeV/c momentum at the COSY accelerator facility, Research Center Juelich, in March 2018. The campaign brought valuable insights to the development of an effective grounding and powering scheme for reading out the detectors. The signal-to-noise was measured for one of the prototype modules, resulting in values larger than 15 for both polarities. A deeper analysis into the collected data allowed the identification of a logic error in the ASIC that affected the readout rate and the quality of the data. This issue was corrected in the new version of the chip.
A precursor of the STS detector, named mini-STS (mSTS), has been built within the mCBM project carried out in FAIR Phase0. mSTS was built from 4 fully assembled detector modules. To ensure the proper operation of the ASICs that were used in the module assembly, it was required to develop a rigorous quality assurance procedure. A dedicated setup was built based on a custom designed pogo-pin station and a total of 339 chips were tested. More than 90% of good-quality and operational ASICs were obtained. In the mCBM beam campaign of March 2019, four detector modules were successfully operated in a close-to-final readout chain and valuable data were collected. The mSTS detector was exposed to the products of Ag+Au collisions at energies above 1.58 AGeV and overall interaction rates up to 106 , which resembles the real conditions of the CBM experiment.
Along this work, significant progress for the development of the STS detector modules was achieved. Techniques for characterization of the front-end electronics and the complete detector system were developed and worked out. They will be applied for QA of the components during the series production.
As its fundamental function, the brain processes and transmits information using populations of interconnected nerve cells alias neurons. The communication between these neurons occurs via discrete electric impulses called spikes. A core challenge in neuroscience has been to quantify how much information about relevant stimuli or signals a neuron transports in its spike sequences, or spike trains. The recently introduced correlation method allows to determine this so-called mutual information in terms of a neuron’s temporal spike correlations under certain stationarity assumptions. Based on the correlation method, I address several open questions regarding neural information encoding in the cortex.
In the first part (chapter 2), I investigate the role of temporal spike correlations for neural information transmission. Temporal correlations in neuronal spike trains diminish independence in the information that is transmitted by the different spikes and hence introduce redundancy to stimulus encoding. However, exact methods to describe how such spike correlations impact information transmission quantitatively have been lacking. Here, I provide a general measure for the information carried by spike trains of neurons with correlated rate modulations only, neglecting other spike correlations, and use it to investigate the effect of rate correlations on encoding redundancy. I derive it analytically by calculating the mutual information between a time correlated, rate-modulating signal and the resulting spikes of Poisson neurons. Whereas this information is determined by spike autocorrelations only, the redundancy in information encoding due to rate correlations depends on both the distribution and the autocorrelation of the rate histogram. I further demonstrate that, at very small signal strengths, the information carried by rate correlated spikes becomes identical to that of independent spikes, in effect measuring the rate modulation depth. In contrast, a vanishing signal correlation time maximizes information transmission but does not generally yield the information of independent spikes.
In the second part (chapter 3), I analyze the information transmission capabilities of two particular schemes of encoding stimuli in the synaptic inputs using integrate-and-fire neuron models. Specifically, I calculate the exact information contained in spike trains about signals which modulate either the mean or the variance of the somatic currents in neurons, as is observed experimentally. I show that the information content about mean modulating signals is generally substantially larger than about variance modulating signals for biological parameters. This result provides evidence, by means of exact calculations of the mutual information, against the potential benefit of variance encoding that had been suggested previously.
Another analysis reveals that higher information transmission is generally associated with a larger proportion of nonlinear signal encoding. Moreover, I show that a combination of signal-dependent mean and variance modulations of the input current can synergistically benefit information transmission through a nonlinear coupling of both channels. On a more general level, I identify what was previously considered an upper bound as the exact, full mutual information. Furthermore, by analyzing the statistics of the spike train Fourier coefficients, I identify the means of the Fourier coefficients as information-carrying features.
Overall, this work contributes answers to central questions of theoretical neuroscience concerning the neural code and neural information transmission. It sheds light on the role of signal-induced temporal correlations for neural coding by providing insight into how signal features shape redundancy and by establishing mathematical links between existing methods and providing new insights into the spike train statistics in stationary situations. Moreover, I determine what fraction of the mutual information is linearly decodable for two specific signal encoding schemes.
In this thesis, we presented the theoretical description of the magnetic properties of various frustrated spin systems. Especially in search of exotic states, such as quantum spin liquids, magnetically frustrated systems have been subject of intense research within the last four decades. Relating experimental observations in real materials with theoretical models that capture those exotic magnetic phenomena has been one of the great challenges within the field of magnetism in condensed matter.
In order to build such a bridge between experimental observations and theoretical models, we followed two complementary strategies in this thesis. One strategy was based on first principles methods that enable the theoretical prediction of electronic properties of real materials without further experimental input than the crystal structure. Based on these predictions, low-energy models that describe magnetic interactions can be extracted and, through further theoretical modelling, can be compared to experimental observations. The second strategy was to establish low-energy models through comparison of data from experiments, such as inelastic neutron scattering intensities, with calculated predictions based on a variety of plausible magnetic models guided by microscopic insights. Both approaches allow to relate theoretical magnetic models with real materials and may provide guidance for the design of new frustrated materials or the investigation of promising models related to exotic magnetic states.
The diffusive behavior of macromolecules in solution is a key factor in the kinetics of macromolecular binding and assembly, and in the theoretical description of many experiments. Experiments on high-density protein solutions have found that a slow down of the diffusion dynamics is larger than expected from colloidal theory for non-interaction hard-spheres. It has also been shown that the rotational diffusion anisotropy in high-density protein solutions is larger than in dilute ones. High-density protein solutions are a complex fluid that is different from the neat fluid assumption used in the hydrodynamic theory. It is therefore important to have methods to accurately calculate the translational and rotational diffusion tensor from simulations as well as simulation algorithms to explore high-density solutions.
Simulations provide a powerful tool to study diffusion in complex fluids. They can be used to study the macroscopic and microscopic effects of complex fluids on the diffusive behavior. There has been already a lot of work done to accurately simulate diffusion and to determine the diffusion coefficients from simulations.
The translational diffusion of molecules in simple and complex liquids can be determined with high accuracy from simulations. This is not yet the case for rotational diffusion. Existing algorithms to calculate the rotational diffusion coefficients from simulations make assumptions about the shape of the protein or only work at short times. For the simulation of diffusive behavior of macromolecules two options exist today. An all-atom integrator with explicit solvent molecules or coarse-grained (CG) simulations with an implicit solvent. CG simulations of dynamic behavior with implicit solvent are also called Brownian dynamics (BD) simulations. For the CG simulations the Ermak-McCammon algorithm is often used to solve the underlying Langevin equation. The algorithm is an extension of the Euler-Maruyama integrator to include translation and rotation in three dimensions. This algorithm only correctly reproduces the equilibrium probability for short time-steps and the error depends linearly on the time-step. It has been shown that Monte Carlo based algorithms can produce BD for translational dynamics, when appropriately parametrized. The advantage of Monte Carlo based algorithm is that they will reproduce the correct equilibrium distribution independent of the chosen time-step. This in return allows choosing larger time-steps in simulations. The aim of this thesis is to develop novel´methods to accurately determine the rotational diffusion coefficient from simulations and extend existing Monte Carlo algorithms to include rotational dynamics.
The first project addresses the question of how to accurately determine the rotational diffusion coefficients from simulations. We develop a quaternion based method to calculate the rotational diffusion tensor from simulations and a theory for the effects of periodic boundary conditions (PBC) on the rotational diffusion coefficient in simulations.
Our method for calculating rotational diffusion coefficients is based on the quaternion covariances from Favro for a freely rotating rigid molecule. The covariances as formulated by Favro are only valid in the principal coordinate system (PCS) of the rotation diffusion tensor. The covariances can be generalized for an arbitrary reference coordinate system (RCS), i.e., a simulation, given the principle axes of the rotational diffusion tensor in the RCS. We show that no prior knowledge of the diffusion tensor and its principal axes is required to calculate the generalized covariances from simulations using common root-mean-square distance (RMSD) procedures. We develop two methods to fit the covariances calculated from simulations to our generalized equations to fit the rotational diffusion tensor. In the first method we minimize the sum of the squared error deviations between model and simulation data. For this six dimensional optimization we use a simulated annealing algorithm. Alternatively the rotational diffusion tensor can also be determined from a eigenvalue decomposition of covariance after integration. To minimize the effects of sampling noise in the integration we first apply a Laplace-transformation to smooth the covariances at large times. For ideal sampling the resulting rotational diffusion coefficient should be independent of the value of the Laplace variable. In practice, however, the best results are achieved using a value close to the inverse autocorrelation time of the rotational motion.
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In this work we provided additional insights into our understanding of bulk QCD matter through the study of the transport coeffcients which govern the non-equilibrium microscopical processes of statistical ensembles. Specically, we focused on the low energy regime corresponding to the hadron gas, as the properties of this region of the phase diagram are still relatively unknown, and existing calculations for the transport coeffcients are either scarce, contradictory, or somewhat limited in scope; this thesis' main goal was thus to shed some light on this by providing new independent calculations of these quantities.
We subsequently presented two formalisms which can be used to calculate transport coeffcients. The first one (which also was the main tool we used in the following chapters to produce our results) relies on the development of so-called Green-Kubo formulas, which relate non-equilibrium dissipative fluctuations with transport coeffcients; notably, the off-diagonal components of the energy-momentum tensor are shown to be related to the shear viscosity, its diagonal components to the bulk viscosity and fluctuations in the electric current can be related to the electric conductivity. We additionally introduced two new conductivities, namely the baryon-electric and strange electric conductivities, which we dubbed, together with the already known electric one, the "cross-conductivity", which encodes information about how electric fluctuations are correlated to changes in electric, baryonic or strange currents, or vice-versa. The second way of calculating transport coeffcient which we discussed consists in linearizing the collision term of the Boltzmann equation through the Chapman-Enskog formalism. While in principle providing direct semi-analytical results for the transport coeffcients, this approach is complicated to implement when more than a few species are considered, and as such was then mostly used as a tool to calibrate our Green-Kubo calculations.
The hadron gas model that we used for all calculations, namely the transport approach SMASH, was then presented. The main features of the model were explained, such as the collision criterion, the considered degrees of freedom and the specific way in which they microscopically interact with each other. It was verified that SMASH does reproduce analytical results of the Boltzmann equation in an expanding universe scenario, thus showing the equivalence of this transport approach and the associated kinetic theory results. A special care was taken to detail the ways in which a state of thermal and chemical equilibrium (which is necessary for Green-Kubo relations to be valid) can be reached and described using SMASH.
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We study the Wigner function for massive spin-1/2 fermions in electromagnetic fields. The Wigner function is analytically solved in five cases when electromagnetic fields are constants. For a general space-time dependent field configuration, we use the method of semi-classical expansion and solved the Wigner function at linear order in the Planck's constant. At the same order, we obtained a generalized Boltzmann equation for particle distribution, and a generalized BMT equation for spin polarization. Using the Wigner function, we calculated some physical quantities in a thermal equilibrium system.