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Many-Body Delocalization as a Quantum Avalanche

hal.structure.identifierLaboratoire de Physique Théorique de l'ENS [École Normale Supérieure] [LPTENS]
dc.contributor.authorThiery, Thimothée
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorHuveneers, François
hal.structure.identifier
dc.contributor.authorMüller, Markus
hal.structure.identifierInstitut für Theoretische Physik
dc.contributor.authorDe Roeck, Wojciech
dc.date.accessioned2019-07-23T14:37:31Z
dc.date.available2019-07-23T14:37:31Z
dc.date.issued2018-10
dc.identifier.issn0031-9007
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/19391
dc.language.isoenen
dc.subjectmany-body localizationen
dc.subject.ddc520en
dc.titleMany-Body Delocalization as a Quantum Avalancheen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe propose a multiscale diagonalization scheme to study disordered one-dimensional chains, in particular, the transition between many-body localization (MBL) and the ergodic phase, expected to be governed by resonant spots. Our scheme focuses on the dichotomy of MBL versus validity of the eigenstate thermalization hypothesis. We show that a few natural assumptions imply that the system is localized with probability one at criticality. On the ergodic side, delocalization is induced by a quantum avalanche seeded by large ergodic spots, whose size diverges at the transition. On the MBL side, the typical localization length tends to the inverse of the maximal entropy density at the transition, but there is a divergent length scale related to the response to an inclusion of large ergodic spots. A mean-field approximation analytically illustrates these results and predicts a power-law distribution for thermal inclusions at criticality.en
dc.relation.isversionofjnlnamePhysical Review Letters
dc.relation.isversionofjnlvol121en
dc.relation.isversionofjnlissue14en
dc.relation.isversionofjnldate2018-10
dc.relation.isversionofdoi10.1103/PhysRevLett.121.140601en
dc.relation.isversionofjnlpublisherAmerican Physical Societyen
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2019-07-23T14:34:35Z
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