Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
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.
Cite
@article{arxiv.1603.06618,
title = {Nonequilibrium quantum dynamics and transport: from integrability to many-body localization},
author = {Romain Vasseur and Joel E. Moore},
journal= {arXiv preprint arXiv:1603.06618},
year = {2016}
}
Comments
29 pages, 7 figures, review article for special issue of JSTAT on Quantum Integrability in Out of Equilibrium Systems