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Analytic studies on the SYK models: from instantaneous thermalization to holographic duality

dc.contributor.advisorKehrein, Stefan Prof. Dr.
dc.contributor.authorLouw, Jan
dc.date.accessioned2023-07-18T15:27:34Z
dc.date.available2023-07-25T00:50:15Z
dc.date.issued2023-07-18
dc.identifier.urihttp://resolver.sub.uni-goettingen.de/purl?ediss-11858/14788
dc.identifier.urihttp://dx.doi.org/10.53846/goediss-10017
dc.format.extentXX Seitende
dc.language.isoengde
dc.subject.ddc530de
dc.titleAnalytic studies on the SYK models: from instantaneous thermalization to holographic dualityde
dc.typedoctoralThesisde
dc.contributor.refereeHeidrich-Meisner, Fabian Prof. Dr.
dc.date.examination2023-06-23de
dc.subject.gokPhysik (PPN621336750)de
dc.description.abstractengThe quasiparticle picture is so prominent in condensed matter physics that it is almost taken as an axiom. Without this simplification, the physics becomes nearly intractable. However, the physics also becomes remarkable, leading to holographic connections to gravity found in such strange metals lacking a quasiparticle description. In this thesis we present analytic, i.e., mathematical results on the fermionic charged Sachdev-Ye-Kitaev (cSYK) models which capture these interesting features. We provide results on fast thermalization, chaotic-to-regular phase transitions, and charge dynamics in a lattice of such models. We also provide a concrete holographic mapping onto gravity showing how the partition functions of both charged dilaton gravity and the complex SYK model overlap exactly.de
dc.contributor.coRefereeSollich, Peter Prof. Dr.
dc.subject.engStrongly correlated matterde
dc.subject.engholographyde
dc.subject.engmany body quantum systemsde
dc.subject.engcondensed matterde
dc.subject.engchaotic systemsde
dc.subject.enggeneral relativityde
dc.subject.enggravityde
dc.identifier.urnurn:nbn:de:gbv:7-ediss-14788-3
dc.affiliation.instituteFakultät für Physikde
dc.description.embargoed2023-07-25de
dc.identifier.ppn1853908142
dc.notes.confirmationsentConfirmation sent 2023-07-18T19:45:01de


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