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dc.contributor.authorSchiulaz, Mauro
dc.contributor.authorTorres-Herrera, E.J.
dc.contributor.authorSantos, Lea F.
dc.date.accessioned2018-12-31T19:12:16Z
dc.date.available2018-12-31T19:12:16Z
dc.date.issued2018-07-19
dc.identifier.citationSchiulaz, M., Torres-Herrera, E.J., and Santos, L.F. (2018). Thouless and Relaxation Time Scales in Many-Body Quantum Systems. preprint arxiv 1807.07577.en_US
dc.identifier.issn2331-8422
dc.identifier.urihttps://arxiv.org/pdf/1807.07577.pdfen_US
dc.identifier.urihttps://hdl.handle.net/20.500.12202/4291
dc.description.abstractStudies of the dynamics of isolated interacting many-body quantum systems are at the forefront of experimental and theoretical physics. A major open question is the identification of the time scales involved in the relaxation process of these systems. Using experimental observables and a realistic interacting many-body quantum system, we unveil three different time scales: a very short time that characterizes the early decay of the initial state and two much longer time scales that increase exponentially with system size. These two are the Thouless time, tTh, and the relaxation time, tR. The Thouless time refers to the point beyond which the dynamics acquires universal features and relaxation happens when the evolution reaches a stationary state. We show that in chaotic systems, tTh ≪ tR, while for systems approaching a many-body localized phase, tTh → tR. Our results are compared with those for random matrices, which corroborates their generality.en_US
dc.description.sponsorshipM.S. and L.F.S. are supported by the NSF Grant No. DMR-1603418. E.J.T.-H. acknowledges funding from VIEP-BUAP, Mexico. He is also grateful to LNS- BUAP for allowing use of their supercomputing facility. We are very thankful to Francisco P´erez-Bernal for al- lowing us to use the supercomputer at the University of Huelva in Spain and for providing technical assistance.en_US
dc.language.isoen_USen_US
dc.publisherarXiv.orgen_US
dc.relation.ispartofseriesarXiv;
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectmany-body quantum systemsen_US
dc.subjecttime scalesen_US
dc.subjectrelaxation processen_US
dc.subjectThouless timeen_US
dc.subjectrelaxation timeen_US
dc.subjectchaotic many body systemsen_US
dc.titleThouless and Relaxation Time Scales in Many-Body Quantum Systems.en_US
dc.typeArticleen_US


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