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dc.contributor.authorSantos, Lea F.
dc.contributor.authorTorres-Herrera, E. Jonathan
dc.contributor.authorVallejo-Fabila, Isaías
dc.contributor.authorMartínez-Mendoza, Andrei J.
dc.identifier.citationSantos, Lea F., E Jonathan Torres-Herrera, Isaías Vallejo-Fabila, Andrei J Martínez-Mendoza. (28 May 2020). Self-averaging in many-body quantum systems out of equilibrium: Time dependence of distributions.en_US
dc.identifier.issn2470-0053 ISSN
dc.descriptionResearch article, peer-reviewed. Open Access.en_US
dc.description.abstractIn a disordered system, a quantity is self-averaging when the ratio between its variance over disorder realizations and the square of its mean decreases as the system size increases. Here, we consider a chaotic disordered many-body quantum system out of equilibrium and identify which quantities are self-averaging and at which time scales. This is done by analyzing their distributions over disorder realizations. An exponential distribution, as found for the survival probability at long times, explains its lack of self-averaging, since the mean and the dispersion are equal. Gaussian distributions, on the other hand, are obtained for both self-averaging and non-self-averaging quantities. We also show that semi-analytical results for the self-averaging behavior of one quantity can be achieved from the knowledge of the distribution of another related quantity. This strategy circumvents numerical limitations on the sizes of the systems that we can deal with.en_US
dc.description.sponsorshipACKNOWLEDGMENTS We are grateful to Mauro Schiulaz for various discussions during the beginning of this project. E.J.T.-H. and I.V.-F. acknowledge funding from VIEP-BUAP (Grant Nos. MEBJ-EXC19-G, LUAGEXC19-G), Mexico. They are also grateful to LNS-BUAP for allowing use of their supercomputing facility. L.F.S. is supported by the NSF Grant No. DMR-1936006.en_US
dc.publisherAmerican Chemical Societyen_US
dc.relation.ispartofseriesPhysical Review E;
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.subjectmany-body quantum systemen_US
dc.subjecttime distributionen_US
dc.titleSelf-averaging in many-body quantum systems out of equilibrium: Time dependence of distributions.en_US

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