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A Unitary Perturbation Theory Approach to Real-Time Evolution in the Hubbard Model

dc.contributor.advisorKehrein, Stefan Prof. Dr.
dc.contributor.authorKreye, Manuel
dc.date.accessioned2019-10-29T10:55:26Z
dc.date.available2019-10-29T10:55:26Z
dc.date.issued2019-10-29
dc.identifier.urihttp://hdl.handle.net/21.11130/00-1735-0000-0005-128A-B
dc.identifier.urihttp://dx.doi.org/10.53846/goediss-7704
dc.language.isoengde
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.ddc530de
dc.titleA Unitary Perturbation Theory Approach to Real-Time Evolution in the Hubbard Modelde
dc.typedoctoralThesisde
dc.contributor.refereeKehrein, Stefan Prof. Dr.
dc.date.examination2019-10-23
dc.subject.gokPhysik (PPN621336750)de
dc.description.abstractengWe 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.coRefereeCovi, Laura Prof. Dr.
dc.subject.engquantum many-body systemsde
dc.subject.engnonequilibrium dynamicsde
dc.subject.engprethermalizationde
dc.subject.engdensity-density correlationsde
dc.subject.engHubbard modelde
dc.subject.engunitary perturbation theoryde
dc.subject.engflow equationsde
dc.identifier.urnurn:nbn:de:gbv:7-21.11130/00-1735-0000-0005-128A-B-1
dc.affiliation.instituteFakultät für Physikde
dc.identifier.ppn168068292X


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