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Topological charge pumping in ultracold quantum gases

dc.contributor.advisorHeidrich-Meisner, Fabian Prof. Dr.
dc.contributor.authorBertok, Eric
dc.format.extentXXX Seitende
dc.titleTopological charge pumping in ultracold quantum gasesde
dc.contributor.refereeHeidrich-Meisner, Fabian Prof. Dr.
dc.subject.gokPhysik (PPN621336750)de
dc.description.abstractengA topological charge pump is a one-dimensional, dynamical analogue of a quantum Hall system that is particularly well suited for studying topology, both theoretically and experimentally, since no synthetic gauge fields are required and efficient numerical algorithms exist to treat one-dimensional interacting systems in the form of matrix-product state methods. Instead of a robustly quantized Hall conductivity, a topological charge pump pumps a quantized amount of charge in each cycle of a parameter modulation that is given by the same topological invariant as in the quantum Hall effect. The goal of this thesis is to understand the stability of quantized transport in various contexts that are relevant in ultracold quantum gases, such as disordered systems, quantum systems where energy can be exchanged with a bath and in the presence of genuine many-body interactions. The results are presented as part of four scientific papers. In the first paper, we characterize the breakdown of quantized pumping as a function of disorder strength by employing various instantaneous and time-dependent measures. We argue that in disorder averages, the full energy gap distributions should be considered. In the second paper, we study the breakdown of quantized pumping due to electron-phonon coupling and find a resonant breakdown when the pump frequency equals the phonon frequency. The third paper introduces the possibility of a splitting of critical points in a Rice-Mele Hubbard model, which allows for interaction-induced pumping. The final paper presents experimental data of an ultracold-atom setup studying this interaction-induced pumping, as well as numerical calculations detailing the breakdown due to the crossing of a spin-gapless
dc.contributor.coRefereeManmana, Salvatore R. PD Dr.
dc.contributor.thirdRefereeEckardt, André Prof. Dr.
dc.subject.engTopological pumpingde
dc.subject.engThouless pumpingde
dc.subject.engUltracold atomsde
dc.subject.engMatrix-product statesde
dc.subject.engelectron-phonon couplingde
dc.subject.engStrongly correlated systemsde
dc.affiliation.instituteFakultät für Physikde
dc.notes.confirmationsentConfirmation sent 2023-09-13T19:45:01de

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