dc.contributor.advisor | Kehrein, Stefan Prof. Dr. | |
dc.contributor.author | Kreye, Manuel | |
dc.date.accessioned | 2019-10-29T10:55:26Z | |
dc.date.available | 2019-10-29T10:55:26Z | |
dc.date.issued | 2019-10-29 | |
dc.identifier.uri | http://hdl.handle.net/21.11130/00-1735-0000-0005-128A-B | |
dc.identifier.uri | http://dx.doi.org/10.53846/goediss-7704 | |
dc.language.iso | eng | de |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.subject.ddc | 530 | de |
dc.title | A Unitary Perturbation Theory Approach to Real-Time Evolution in the Hubbard Model | de |
dc.type | doctoralThesis | de |
dc.contributor.referee | Kehrein, Stefan Prof. Dr. | |
dc.date.examination | 2019-10-23 | |
dc.subject.gok | Physik (PPN621336750) | de |
dc.description.abstracteng | We advance perturbative approaches for out-of-equilibrium quantum many-body systems by
applying unitary perturbation theory to the real-time evolution of the weakly interacting
Hubbard model in d > 1 dimensions. We derive general expressions for the fermionic operators
that allow us to perturbatively calculate the time evolution of observables to second-order
expansion in the interaction strength. We find that the results are stable up to and including
the prethermalization regime. We apply our findings to the nonequilibrium build-up of
density-density correlations after a weak interaction quench and compare the prethermalization
values to equilibrium correlations. Furthermore, we analyze the light-cone-like structure
of the density-density susceptibility and the equal-time correlation function in the context of
the Lieb-Robinson bounds. | de |
dc.contributor.coReferee | Covi, Laura Prof. Dr. | |
dc.subject.eng | quantum many-body systems | de |
dc.subject.eng | nonequilibrium dynamics | de |
dc.subject.eng | prethermalization | de |
dc.subject.eng | density-density correlations | de |
dc.subject.eng | Hubbard model | de |
dc.subject.eng | unitary perturbation theory | de |
dc.subject.eng | flow equations | de |
dc.identifier.urn | urn:nbn:de:gbv:7-21.11130/00-1735-0000-0005-128A-B-1 | |
dc.affiliation.institute | Fakultät für Physik | de |
dc.identifier.ppn | 168068292X | |