Dominance of Replica Off-Diagonal Configurations and Phase Transitions in a PT Symmetric Sachdev-Ye-Kitaev Model

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dc.contributor.authorGarcia-Garcia, Antonio M.ko
dc.contributor.authorJia, Yiyangko
dc.contributor.authorRosa, Darioko
dc.contributor.authorVerbaarschot, Jacobus J. M.ko
dc.date.accessioned2022-04-14T06:54:28Z-
dc.date.available2022-04-14T06:54:28Z-
dc.date.created2022-04-04-
dc.date.created2022-04-04-
dc.date.created2022-04-04-
dc.date.issued2022-02-
dc.identifier.citationPHYSICAL REVIEW LETTERS, v.128, no.8-
dc.identifier.issn0031-9007-
dc.identifier.urihttp://hdl.handle.net/10203/292833-
dc.description.abstractWe show that, after ensemble averaging, the low temperature phase of a conjugate pair of uncoupled, quantum chaotic, non-Hermitian systems such as the Sachdev-Ye-Kitaev (SYK) model or the Ginibre ensemble of random matrices is dominated by saddle points that couple replicas and conjugate replicas. This results in a nearly flat free energy that terminates in a first-order phase transition. In the case of the SYK model, we show explicitly that the spectrum of the effective replica theory has a gap. These features are strikingly similar to those induced by wormholes in the gravity path integral which suggests a close relation between both configurations. For a nonchaotic SYK, the results are qualitatively different: the spectrum is gapless in the low temperature phase and there is an infinite number of second order phase transitions unrelated to the restoration of replica symmetry.-
dc.languageEnglish-
dc.publisherAMER PHYSICAL SOC-
dc.titleDominance of Replica Off-Diagonal Configurations and Phase Transitions in a PT Symmetric Sachdev-Ye-Kitaev Model-
dc.typeArticle-
dc.identifier.wosid000766657400009-
dc.identifier.scopusid2-s2.0-85125666639-
dc.type.rimsART-
dc.citation.volume128-
dc.citation.issue8-
dc.citation.publicationnamePHYSICAL REVIEW LETTERS-
dc.identifier.doi10.1103/PhysRevLett.128.081601-
dc.contributor.localauthorRosa, Dario-
dc.contributor.nonIdAuthorGarcia-Garcia, Antonio M.-
dc.contributor.nonIdAuthorJia, Yiyang-
dc.contributor.nonIdAuthorVerbaarschot, Jacobus J. M.-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordPlusFINITE-DENSITY-
dc.subject.keywordPlusWIGNER-DYSON-
dc.subject.keywordPlusQUANTUM-
dc.subject.keywordPlusSPECTRA-
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