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dc.contributor.authorSerbyn, Maksym
dc.contributor.authorPapić, Z.
dc.contributor.authorAbanin, Dmitry A.
dc.date.accessioned2013-09-13T14:37:48Z
dc.date.available2013-09-13T14:37:48Z
dc.date.issued2013-06
dc.date.submitted2013-04
dc.identifier.issn0031-9007
dc.identifier.issn1079-7114
dc.identifier.urihttp://hdl.handle.net/1721.1/80715
dc.description.abstractRecent numerical work by Bardarson, Pollmann, and Moore revealed a slow, logarithmic in time, growth of the entanglement entropy for initial product states in a putative many-body localized phase. We show that this surprising phenomenon results from the dephasing due to exponentially small interaction-induced corrections to the eigenenergies of different states. For weak interactions, we find that the entanglement entropy grows as [Greek letter xi]1n(Vt/[Planck constant]), where V is the interaction strength, and [Greek letter xi] is the single-particle localization length. The saturated value of the entanglement entropy at long times is determined by the participation ratios of the initial state over the eigenstates of the subsystem. Our work shows that the logarithmic entanglement growth is a universal phenomenon characteristic of the many-body localized phase in any number of spatial dimensions, and reveals a broad hierarchy of dephasing time scales present in such a phase.en_US
dc.description.sponsorshipUnited States. Dept. of Energy (DOE Grant No. DE-SC0002140)en_US
dc.description.sponsorshipCanada. Industry Canadaen_US
dc.description.sponsorshipOntario. Ministry of Economic Development and Innovationen_US
dc.description.sponsorshipPerimeter Institute for Theoretical Physicsen_US
dc.language.isoen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevLett.110.260601en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceAPSen_US
dc.titleUniversal Slow Growth of Entanglement in Interacting Strongly Disordered Systemsen_US
dc.typeArticleen_US
dc.identifier.citationSerbyn, Maksym, Z. Papić, and Dmitry A. Abanin. “Universal Slow Growth of Entanglement in Interacting Strongly Disordered Systems.” Physical Review Letters 110, no. 26 (June 2013). © 2013 American Physical Society.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Physicsen_US
dc.contributor.mitauthorSerbyn, Maksymen_US
dc.relation.journalPhysical Review Lettersen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsSerbyn, Maksym; Papić, Z.; Abanin, Dmitry A.en_US
mit.licensePUBLISHER_POLICYen_US
mit.metadata.statusComplete


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