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dc.contributor.authorGarcía-García, AMen
dc.contributor.authorVerbaarschot, JJMen
dc.date.accessioned2017-02-10T11:46:01Z
dc.date.available2017-02-10T11:46:01Z
dc.date.issued2016-12-19en
dc.identifier.issn2470-0010
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/262443
dc.description.abstractWe study spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model, a variant of the k-body embedded random ensembles studied for several decades in the context of nuclear physics and quantum chaos. We show analytically that the fourth- and sixth-order energy cumulants vanish in the limit of a large number of particles N→∞, which is consistent with a Gaussian spectral density. However, for finite N, the tail of the average spectral density is well approximated by a semicircle law. The specific heat coefficient, determined numerically from the low-temperature behavior of the partition function, is consistent with the value obtained by previous analytical calculations. For energy scales of the order of the mean level spacing we show that level statistics are well described by random matrix theory. Due to the underlying Clifford algebra of the model, the universality class of the spectral correlations depends on N. For larger energy separations we identify an energy scale that grows with N, reminiscent of the Thouless energy in mesoscopic physics, where deviations from random matrix theory are observed. Our results are a further confirmation that the Sachdev-Ye-Kitaev model is quantum chaotic for all time scales. According to recent claims in the literature, this is an expected feature in field theories with a gravity dual.
dc.description.sponsorshipEPSRC, Grant No. EP/I004637/1; U.S. Department of Energy Grant No. DE-FG-88FR40388
dc.language.isoenen
dc.publisherAmerican Physical Society
dc.titleSpectral and thermodynamic properties of the Sachdev-Ye-Kitaev modelen
dc.typeArticle
prism.endingPage13
prism.number126010en
prism.publicationDate2016en
prism.publicationNamePhysical Review Den
prism.startingPage1
prism.volume94en
dc.identifier.doi10.17863/CAM.7707
dcterms.dateAccepted2016-11-15en
rioxxterms.versionofrecord10.1103/PhysRevD.94.126010en
rioxxterms.versionAMen
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2016-12-19en
dc.identifier.eissn2470-0029
dc.publisher.urlhttp://dx.doi.org/10.1103/PhysRevD.94.126010en
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idEPSRC (EP/I004637/1)
dc.identifier.urlhttp://dx.doi.org/10.1103/PhysRevD.94.126010en


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