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Quantum many-body systems out of equilibrium

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arxiv 1408.5148 v2 pith:2PBSVBHS submitted 2014-08-21 quant-ph cond-mat.quant-gascond-mat.stat-mech

Quantum many-body systems out of equilibrium

classification quant-ph cond-mat.quant-gascond-mat.stat-mech
keywords quantummany-bodyequilibriumsystemsclosedprogresssimulationsthermalisation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Closed quantum many-body systems out of equilibrium pose several long-standing problems in physics. Recent years have seen a tremendous progress in approaching these questions, not least due to experiments with cold atoms and trapped ions in instances of quantum simulations. This article provides an overview on the progress in understanding dynamical equilibration and thermalisation of closed quantum many-body systems out of equilibrium due to quenches, ramps and periodic driving. It also addresses topics such as the eigenstate thermalisation hypothesis, typicality, transport, many-body localisation, universality near phase transitions, and prospects for quantum simulations.

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