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

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 hydrodynamical picture breaks down. The emphasis …