Detecting few-body quantum chaos: out-of-time ordered correlators at saturation

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dc.citation.issue5
dc.citation.spage23
dc.citation.volume2022
dc.contributor.authorMarković, Dragan
dc.contributor.authorČubrović, Mihailo
dc.date.accessioned2024-06-13T07:37:23Z
dc.date.available2024-06-13T07:37:23Z
dc.date.issued2022
dc.description.abstractWe study numerically and analytically the time dependence and saturation of out-of-time ordered correlators (OTOC) in chaotic few-body quantum-mechanical systems: quantum Henon-Heiles system (weakly chaotic), BMN matrix quantum mechanics (strongly chaotic) and Gaussian random matrix ensembles. The growth pattern of quantum-mechanical OTOC is complex and nonuniversal, with no clear exponential regime at relevant timescales in any of the examples studied (which is not in contradiction to the exponential growth found in the literature for many-body systems, i.e. fields). On the other hand, the plateau (saturated) value of OTOC reached at long times decreases with temperature in a simple and universal way: exp(const./T2) for strong chaos (including random matrices) and exp(const./T) for weak chaos. For small matrices and sufficiently complex operators, there is also another, high-temperature regime where the saturated OTOC grows with temperature. Therefore, the plateau OTOC value is a meaningful indicator of few-body quantum chaos. We also discuss some general consequences of our findings for the AdS/CFT duality.
dc.identifier.doi10.1007/jhep05(2022)023
dc.identifier.issn1029-8479
dc.identifier.issn1126-6708
dc.identifier.scopus2-s2.0-85129721170
dc.identifier.urihttps://pub.ipb.ac.rs/handle/123456789/82
dc.identifier.wos000791425100001
dc.language.isoen
dc.publisherSpringer Science and Business Media LLC
dc.relation.ispartofJournal of High Energy Physics
dc.relation.ispartofabbrJ. High Energy Phys.
dc.rightsopenAccess
dc.titleDetecting few-body quantum chaos: out-of-time ordered correlators at saturation
dc.typeArticle
dc.type.versionpublishedVersion
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