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dc.contributor.authorSantos, Lea F.
dc.contributor.authorBorgonovi, F.
dc.contributor.authorIzrailev, F.M.
dc.identifier.citationSantos, Lea F., Fausto Borgonovi, Felix M Izrailev. (2019). Timescales in the quench dynamics of many-body quantum systems: Participation ratio versus out-of-time ordered correlator. Physical Review E 99(5): 052143en_US
dc.identifier.issnPrint: 1539-3755 Electronic: 1550-2376
dc.descriptionResearch article, peer-reviewed. Open Access.en_US
dc.description.abstractWe study quench dynamics in the many-body Hilbert space using two isolated systems with a finite number of interacting particles: a paradigmatic model of randomly interacting bosons and a dynamical (clean) model of interacting spins-1/2. For both systems in the region of strong quantum chaos, the number of components of the evolving wave function, defined through the number of principal components Npc (or participation ratio), was recently found to increase exponentially fast in time [Phys. Rev. E 99, 010101(R) (2019)]. Here, we ask whether the out-of-time ordered correlator (OTOC), which is nowadays widely used to quantify instability in quantum systems, can manifest analogous time dependence. We show that Npc can be formally expressed as the inverse of the sum of all OTOCs for projection operators. While none of the individual projection OTOCs show an exponential behavior, their sum decreases exponentially fast in time. The comparison between the behavior of the OTOC with that of the Npc helps us better understand wave packet dynamics in the many-body Hilbert space, in close connection with the problems of thermalization and information scrambling.en_US
dc.description.sponsorshipF.B. acknowledges support from the I.S. INFNDynSys- Math. F.M.I. acknowledges financial support from CONACyT (Grant No. 286633). L.F.S. is supported by U.S. National Science Foundation (NSF) Grant No. DMR-1603418.en_US
dc.publisherAmerican Physical Societyen_US
dc.relation.ispartofseriesPhysical Review E;99(5)
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.subjectNonequilibrium statistical mechanicsen_US
dc.subjectStatistical Physicsen_US
dc.titleTimescales in the quench dynamics of many-body quantum systems: Participation ratio versus out-of-time ordered correlator.en_US

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