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arXiv · 1603.06618

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

Romain Vasseur·Joel E. Moore
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Abstract

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.

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Romain Vasseur, Joel E. Moore. 2016-03-21. Nonequilibrium quantum dynamics and transport: from integrability to many-body localization. https://doi.org/10.1088/1742-5468%2F2016%2F06%2F064010

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