Topological charge pumping in ultracold quantum gases

Bertok, Eric

dc.contributor.advisor	Heidrich-Meisner, Fabian Prof. Dr.
dc.contributor.author	Bertok, Eric
dc.date.accessioned	2023-09-13T16:01:24Z
dc.date.available	2023-09-20T00:50:10Z
dc.date.issued	2023-09-13
dc.identifier.uri	http://resolver.sub.uni-goettingen.de/purl?ediss-11858/14878
dc.identifier.uri	http://dx.doi.org/10.53846/goediss-10095
dc.format.extent	XXX Seiten	de
dc.language.iso	eng	de
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/
dc.subject.ddc	530	de
dc.title	Topological charge pumping in ultracold quantum gases	de
dc.type	doctoralThesis	de
dc.contributor.referee	Heidrich-Meisner, Fabian Prof. Dr.
dc.date.examination	2023-08-30	de
dc.subject.gok	Physik (PPN621336750)	de
dc.description.abstracteng	A 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 line.	de
dc.contributor.coReferee	Manmana, Salvatore R. PD Dr.
dc.contributor.thirdReferee	Eckardt, André Prof. Dr.
dc.subject.eng	Topology	de
dc.subject.eng	Topological pumping	de
dc.subject.eng	Thouless pumping	de
dc.subject.eng	Ultracold atoms	de
dc.subject.eng	Matrix-product states	de
dc.subject.eng	disorder	de
dc.subject.eng	electron-phonon coupling	de
dc.subject.eng	Strongly correlated systems	de
dc.identifier.urn	urn:nbn:de:gbv:7-ediss-14878-3
dc.affiliation.institute	Fakultät für Physik	de
dc.description.embargoed	2023-09-20	de
dc.identifier.ppn	1859564631
dc.notes.confirmationsent	Confirmation sent 2023-09-13T19:45:01	de

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