Nonequilibrium quantum dynamics and transport: from integrability to many-body localization

We review the non-equilibrium dynamics of many-body quantum systems after a quantum quench with spatial inhomogeneities, either in the Hamiltonian or in the initial state. We focus on integrable and many-body localized systems that fail to self-thermalize in isolation and for which the standard hydr...

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Bibliographic Details
Published inJournal of statistical mechanics Vol. 2016; no. 6; pp. 64010 - 64036
Main Authors Vasseur, Romain, Moore, Joel E
Format Journal Article
LanguageEnglish
Published IOP Publishing and SISSA 28.06.2016
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Summary:We review the non-equilibrium dynamics of many-body quantum systems after a quantum quench with spatial inhomogeneities, either in the Hamiltonian or in the initial state. We focus on integrable and many-body localized systems that fail to self-thermalize in isolation and for which the standard hydrodynamical picture breaks down. The emphasis is on universal dynamics, non-equilibrium steady states and new dynamical phases of matter, and on phase transitions far from thermal equilibrium. We describe how the infinite number of conservation laws of integrable and many-body localized systems lead to complex non-equilibrium states beyond the traditional dogma of statistical mechanics.
Bibliography:JSTAT_049P_0316
ISSN:1742-5468
1742-5468
DOI:10.1088/1742-5468/2016/06/064010