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The miniaturization of electronics is reaching its limits. Structures necessary to build integrated circuits from semiconductors are shrinking and could reach the size of only a few atoms within the next few years. It will be at the latest at this point in time that the physics of nanostructures gains importance in our every day life. This thesis deals with the physics of quantum impurity models. All models of this class exhibit an identical structure: the simple and small impurity only has few degrees of freedom. It can be built out of a small number of atoms or a single molecule, for example. In the simplest case it can be described by a single spin degree of freedom, in many quantum impurity models, it can be treated exactly. The complexity of the description arises from its coupling to a large number of fermionic or bosonic degrees of freedom (large meaning that we have to deal with particle numbers of the order of 10^{23}). An exact treatment thus remains impossible. At the same time, physical effects which arise in quantum impurity systems often cannot be described within a perturbative theory, since multiple energy scales may play an important role. One example for such an effect is the Kondo effect, where the free magnetic moment of the impurity is screened by a "cloud" of fermionic particles of the quantum bath.
The Kondo effect is only one example for the rich physics stemming from correlation effects in many body systems. Quantum impurity models, and the oftentimes related Kondo effect, have regained the attention of experimental and theoretical physicists since the advent of quantum dots, which are sometimes also referred to as as artificial atoms. Quantum dots offer a unprecedented control and tunability of many system parameters. Hence, they constitute a nice "playground" for fundamental research, while being promising candidates for building blocks of future technological devices as well.
Recently Loss' and DiVincenzo's p roposal of a quantum computing scheme based on spins in quantum dots, increased the efforts of experimentalists to coherently manipulate and read out the spins of quantum dots one by one. In this context two topics are of paramount importance for future quantum information processing: since decoherence times have to be large enough to allow for good error correction schemes, understanding the loss of phase coherence in quantum impurity systems is a prerequisite for quantum computation in these systems. Nonequilibrium phenomena in quantum impurity systems also have to be understood, before one may gain control of manipulating quantum bits.
As a first step towards more complicated nonequilibrium situations, the reaction of a system to a quantum quench, i.e. a sudden change of external fields or other parameters of the system can be investigated. We give an introduction to a powerful numerical method used in this field of research, the numerical renormalization group method, and apply this method and its recent enhancements to various quantum impurity systems.
The main part of this thesis may be structured in the following way:
- Ferromagnetic Kondo Model,
- Spin-Dynamics in the Anisotropic Kondo and the Spin-Boson Model,
- Two Ising-coupled Spins in a Bosonic Bath,
- Decoherence in an Aharanov-Bohm Interferometer.
ALICE (A Large Ion Collider Experiment), is the dedicated heavy-ion experiment at the Large Hadron Collider (LHC) at CERN. It is optimised to reconstruct and identify the particles created in a lead-lead collision with a centre of mass energy of 5.5TeV. The main tracking detector is a large-volume time-projection chamber (TPC). With an active volume of about 88m^3 and a total readout area of 32.5m^2 it is the most challenging TPC ever build. A central electrode divides the 5m long detector into two drift regions. Each readout side is subdivided into 18 inner and 18 outer multi-wire proportional read-out chambers. The readout area is subdivide into 557568 pads, where each pad is read out by and electronics chanin. A complex calibration is needed in order to reach the design position-resolution of the reconstructed particle tracks of about 200um. One part of the calibration lies in understanding the electronic-response. The work at hand presents results of the pedestal and noise behaviour of the front-end electronics (FEE), measurements of the pulse-shaping properties of the FEE using results obtained with a calibration pulser and measurements performed with the laser-calibration system. The data concerned were taken during two phases of the TPC commissioning. First measurements were performed in the clean room where the TPC was built. After the TPC was moved underground and built into the experiment, a second round of commissioning took place. Noise measurements in the clean room revealed a very large fraction of pads with noise values larger than the design specifications. The unexpected high noise values could be explained by the 'ground bounce' effect. Two modifications helped to reduce this effect: A desynchronisation in the the start of the readout of groups of channels and a modification in the grounding scheme of the FEE. Further noise measurements were carried out after the TPC has been moved to the experimental area underground. Here even a larger fraction of channels showed too large noise values. This could be traced back to a common mode current injected by the electronics power supplies. To study the shaping properties of the FEE a calibration pulser was used. To generate signals in the FEE a pulse is injected to the cathode wires of the read-out chambers. Due to manufacturing tolerances slight channel-by-channel variations of the shaping properties are expected. This effects the determination of the arrival time as well as the measured integral signal of the induced charge and has to be corrected. The measured arrival time variations follow a Gaussian distribution with a width (sigma) of 6.2ns. This corresponds to an error of the cluster position of about 170um. The charge variations are on the level of 2.8%. In order to reach the intrinsic resolution on the measurement of the specific energy loss of the particles (6%) those variations have to be taken into account. The photons of the laser-calibration system are energetic enough to emit photo electrons off metallic surfaces. Most interesting for the detector calibration are photo electrons from the central electrode. The laser light is intense enough to get a signal in all readout channels of the TPC. Since the central electrode is a smooth surface, differences in the arrival time between sectors reveal mechanical displacements of the readout sectors and can be used to correct for this effect. In addition the measurements can be used to determine the electron drift velocity in the TPC gas. The drift velocity measurements have shown a vertical as well as a radial gradient. The first can be explained by the temperature gradient, which naturally builds up in the 5m high detector. The second gradient is most probably caused by a relative conical deformation of the readout plane and the central electrode.
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.
Angeregt durch das Wirken Enea Silvio Piccolominis auf dem Basler Konzil und am Wiener Hof Friedrichs III. bildeten sich seit der Mitte des 15. Jahrhunderts frühe Zentren des Humanismus in Deutschland, vor allem in Heidelberg, Augsburg und Eichstätt. Als einer der wichtigsten Protagonisten dieses süddeutschen Frühhumanismus gilt der fränkische Domherr und Jurist Albrecht von Eyb (1420–1475). ...
Unter dem Titel "Vade mecum! Nächste Schritte in den Historischen Grundwissenschaften" fand sich am 8. und 9. April 2016 an der Universität zu Köln eine vor allem aus Doktorandinnen und Doktoranden bestehende Gruppe junger Wissenschaftler zu einer von Stefanie Menke und Lena Vosding organisierten Tagung zusammen. Die als offene Diskussion mit Impulsvorträgen konzipierte Veranstaltung war zugleich das diesjährige Treffen des Netzwerks Historische Grundwissenschaften, eines Zusammenschlusses hilfswissenschaftlich arbeitender Nachwuchswissenschaftler verschiedener Disziplinen und Qualifikationsstufen. Das Netzwerk hat sich zum Ziel gesetzt, einerseits eine Plattform für den Austausch und das Sichtbarmachen der eigenen Projekte zu bieten, andererseits die Perspektive des wissenschaftlichen Nachwuchses in die aktuelle Diskussion um die Zukunft der Historischen Grundwissenschaften einzubringen, die derzeit auch vor dem Hintergrund der Digitalisierung und den Entwicklungen innerhalb der Digital Humanities geführt wird. ...
Mit ihrer Studie zur pädagogischen Berufsarbeit und Zufriedenheit von Pädagogen liefert Julia Schütz erstmalig eine quantitative und segmentübergreifende Betrachtung der pädagogisch Tätigen in Deutschland. Sie befragt 424 Pädagogen der Elementarstufe, Sekundarstufe I und aus der Weiterbildung in Hessen und wertet die Ergebnisse kritisch aus. Der Zusammenhang von Zufriedenheit - z.B. im Hinblick auf die eigenen Lebensumstände (Alter, Gehalt, Familienstand etc.) - und dem Grad der kollektiven Professionalisierung des Bildungssegments steht dabei im Fokus der Studie.
Leukotrienes (LTs) are pro-inflammatory lipid mediators that belong to the group of eicosanoids, which are oxygenated metabolites of one common precursor, the aracidonic acid (AA). This polyunsaturated fatty acid is esterified at the sn-2 position of cellular membrane phospholipids and can be released by cytosolic phospholipase A2 alpha (cPLA2alpha) enzymatic deacylation. AA can be converted into LTs by the catalytic reaction of 5-lipoxygenase (5-LO). Enzymatic activation of cPLA2alpha as well as of 5-LO is regulated by similar determinants. In response to cellular stimuli that elevate the intracellular Ca2+ level and/or activate MAP kinase pathways, cPLA2alpha and 5-LO comigrate from a soluble cell compartment (mainly the cytosol) to the nuclear membrane, where AA is released und converted into LTs. LTs play a significant role in promoting inflammatory reactions and immune processes. They have been shown to be released from leukocytes in response to bacterial and viral infections and substantially contribute to an effective immune reaction for host defense. Innate immune pathogen recognition is mediated to a substantial part by the Toll-like receptor (TLR) family. So far, 10 human TLR subtypes have been identified, all of which detect distinct highly conserved microbial structures and trigger the induction of signaling pathways that lead to the expression of numerous immune and inflammatory genes. TLR signaling culminates in the activation NF-kappaB and/or MAP kinases, which as well are known to be involved in the regulation of cellular LT biosynthesis. In this regard, it seemed conceivable that the release of LTs might be regulated by TLR activation. Present studies were undertaken in order to verify and characterize a possible influence of TLR activation on the LT biosynthesis, and furthermore to identify the involved signaling pathways and underlying mechanisms. First experiments revealed that pre-incubation of differentiated Mono Mac 6 (MM6) cells with a TLR4 ligand, a TLR5 ligand, as well as with different TLR2 ligands led to an about 2-fold enhancement of Ca2+ ionophore induced LT biosynthesis. Ligands of other TLR subtypes did not show any influence. These observations could also be confirmed in primary human monocytes stimulated with ionophore or fMLP. With focus on TLR2 ligands, further studies were carried out to characterize the observed enhancement of LT biosynthesis in MM6 cells. It was demonstrated that the extent of LT formation was dependent on the ligand concentration used, but was also dependent on the duration of pre-incubation. Ligand pre-incubation of 15 minutes was optimal to maximally enhance LT formation and further prolongation of pre-incubation decreased LT formation again. Moreover, simultaneous addition of TLR2 ligands with ionophore did also not enhance LT formation. These results indicated that TLR2 ligands seemed to prime human monocytes for an enhanced response upon ionophore stimulation, but did not act as costimuli, which per se were not capable of directly stimulating the biosynthesis of LTs. To analyze the underlying mechanism, the impact of TLR2 ligands on the two key enzymes of the LT biosynthesis pathway, cPLA2alpha and 5-LO, was investigated. In this regard, 5-LO could not been shown to be positively regulated by TLR ligand priming. Neither a direct stimulation, nor an enhancement of 5-LO activity by TLR ligands was detectable in MM6 cells. Similarly, TLR2 ligands did also not enhance ionophore induced 5-LO translocation to the nuclear membrane. However, it was shown that TLR2 ligands enhanced ionophore induced release of AA in MM6 cells, which occurred with a similar time course as LT formation, displaying a maximum at 10 minutes of pre-incubation. A direct stimulation of AA release, however, could not been detected. Inhibitor studies revealed cPLA2alpha to be essential for AA release in TLR2 ligand primed, ionophore stimulated MM6 cells, but also sPLA2 was found to be involved. However, the priming effect of TLR2 ligands was mediated exclusively by cPLA2alpha. Western Blot analyses revealed that p38 MAP kinase, as well as ERK1/2, are activated in MM6 cells in response to TLR2 ligands, and also Ser-505 phosphorylation of cPLA2alpha was detected, which is known to be mediated by MAP kinases and to increase cPLA2alpha activity in vitro. Maximal cPLA2alpha phosphorylation occurred after 5-10 minutes of TLR2 ligand incubation, slightly preceding maximal AA release at 10 minutes and maximal LT formation at 15 minutes of priming. The combined use of a specific p38 MAPK inhibitor with an inhibitor of the ERK1/2 signaling pathway resulted in a complete prevention of cPLA2alpha phosphorylation and TLR2 ligand mediated enhancement of AA release. Thus, both MAPK pathways seem to play a role for TLR2 ligand mediated priming effects on the release of AA. An impact of other kinases such as Mnk-1 and CamKII, which can also regulate cPLA2alpha by phosphorylation, was excluded. Finally, an anti-hTLR2 antibody significantly reduced enhanced AA release, confirming the priming effects to be dependent on TLR2 activation. In summary, it was concluded that the increase of LT biosynthesis by TLR2 ligand priming is considerably due to an enhanced cellular AA supply, which arises from a MAPK mediated phosphorylation and up-regulation of cPLA2alpha. TLR dependent enhancement of LT biosynthesis represents an interesting link between activation of innate immune receptors and the rapid formation of pro-inflammatory lipid mediators. On the one hand, this support the role of LTs in host defence and infectious diseases, but may also be relevant in pathophysiological processes, which involve TLRs as well as LTs, as it has been shown for the pathogenesis of atherosclerosis or allergic diseases.