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Dynamics and order in graphene-based systems

Klug, Markus Johannes

Abstract (englisch):
The dynamics of out-of-time order correlators is studied in strongly correlated electron systems. This certain type of correlation function is a measure for the process of quantum information scrambling which is linked to the fundamental processes of entanglement growth and thermalization in quantum systems. Particularly interesting are quantum chaotic systems where the scrambling rate specifies the exponential growth of out-of-time order correlators. Whereas the scrambling rate is well defined theoretically, its interpretation in a physical context is still under debate. Furthermore, its role for physical effects and quantities which can be measured in experiments is little understood and deserves further investigation. In the first part of this work, scrambling rates are determined analytically and are analyzed for interacting electrons in graphene and electrons in a disordered metal coupled to a dissipative bath of phonons. A resemblance between the scrambling rate and the single-particle scattering rates is observed. In addition, a proposed link between quantum chaotic dynamics of out-of-time order correlators and the dynamics of fluctuations of observables is investigated. ... mehr

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Volltext §
DOI: 10.5445/IR/1000120680
Veröffentlicht am 08.07.2020
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Theorie der Kondensierten Materie (TKM)
Publikationstyp Hochschulschrift
Publikationsdatum 08.07.2020
Sprache Englisch
Identifikator KITopen-ID: 1000120680
Verlag Karlsruhe
Umfang iv, 127 S.
Art der Arbeit Dissertation
Fakultät Fakultät für Physik (PHYSIK)
Institut Institut für Theorie der Kondensierten Materie (TKM)
Prüfungsdatum 07.02.2020
Referent/Betreuer Prof. J. Schmalian
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