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dc.contributor.authorSchmitt, Markusen_US
dc.contributor.authorSels, Driesen_US
dc.contributor.authorKehrein, Stefanen_US
dc.contributor.authorPolkovnikov, Anatolien_US
dc.date.accessioned2019-06-06T15:22:38Z
dc.date.available2019-06-06T15:22:38Z
dc.date.issued2019-04-08
dc.identifierhttps://link.aps.org/doi/10.1103/PhysRevB.99.134301
dc.identifier.citationMarkus Schmitt, Dries Sels, Stefan Kehrein, Anatoli Polkovnikov. 2019. "Semiclassical echo dynamics in the Sachdev-Ye-Kitaev model." Physical review B: Condensed matter and materials physics, Volume 99, Issue 13, pp. 134301 - 134301 (10). https://doi.org/10.1103/PhysRevB.99.134301
dc.identifier.issn1098-0121
dc.identifier.urihttps://hdl.handle.net/2144/35952
dc.description.abstractThe existence of a quantum butterfly effect in the form of exponential sensitivity to small perturbations has been under debate for a long time. Lately, this question gained increased interest due to the proposal to probe chaotic dynamics and scrambling using out-of-time-order correlators. In this work we study echo dynamics in the Sachdev-Ye-Kitaev model under effective time reversal in a semiclassical approach. We demonstrate that small imperfections introduced in the time-reversal procedure result in an exponential divergence from the perfect echo, which allows to identify a Lyapunov exponent λ_L. In particular, we find that λ_L is twice the Lyapunov exponent of the semiclassical equations of motion. This behavior is attributed to the growth of an out-of-time-order double commutator that resembles an out-of-time-order correlator.en_US
dc.format.extent10 p.en_US
dc.language.isoen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.ispartofPhysical review B: Condensed matter and materials physics
dc.subjectPhysical sciencesen_US
dc.subjectChemical sciencesen_US
dc.subjectFluids & plasmasen_US
dc.titleSemiclassical echo dynamics in the Sachdev-Ye-Kitaev modelen_US
dc.typeArticleen_US
dc.description.versionFirst author draften_US
dc.identifier.doi10.1103/PhysRevB.99.134301
pubs.elements-sourcemanual-entryen_US
pubs.notes6+3 pages, 4+4 figuresen_US
pubs.notesEmbargo: Not knownen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of Arts & Sciencesen_US
pubs.organisational-groupBoston University, College of Arts & Sciences, Department of Physicsen_US
pubs.publication-statusPublisheden_US
dc.identifier.orcid0000-0002-5549-7400 (Polkovnikov, Anatoli)
dc.identifier.mycv343671


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