Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
By Romain Vasseur, J. Moore. 2016
188 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/d979acbe6f376db75f8fe239400ff618990a84fd
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In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
Citations in the corpus
- Quantum quenches in 1 + 1 dimensional conformal field theories (2016, background): “The standard quasi-particle picture breaks down in models with disorder, for which it has been shown that the growth of entanglement is logarithmic in time (or slower) [67, 79–83] (see also the review [84] in this volume), and in model with longrange interactions [85–90].”
- Out‐of‐time‐ordered correlators in many‐body localized systems (2016, background): “[10] Romain Vasseur and Joel E Moore, “Nonequilibrium quantum dynamics and transport: from integrability to many-body localization,” J.”
- Conformal field theory out of equilibrium: a review (2016, background): “A recent development is that of expansion potentials [22, 97], which concentrates however on total, volume integrated currents instead of steady-state properties.”
- Quantum Many-Body Scars: A Quasiparticle Perspective (2022, background): “The proximity to integrability further guarantees that the dynamical response of the integrable model survives for a parametrically long time (159, 160, 161, 162, 163, 164, 165).”
- Many-body localization: An introduction and selected topics (2017, unknown): “[117, 118]): critical correlations in eigenstates, log correction to the area law, as well as modified forms (powers of log) of entanglement dynamics after a quench.”
- Generalized Gibbs ensemble in integrable lattice models (2016, background): “[11, 12], and also the review by Vasseur and Moore in this volume [13]).”
- Lecture notes on Generalised Hydrodynamics (2019, background): “In more general contexts it is sometimes referred to as the “partitioning protocol" [51–53], see the reviews [54, 55], as well as [56] for a more general discussion of transport in quantum models.”
- Quench dynamics and relaxation in isolated integrable quantum spin chains (2016, background): “[44, 54, 55, 106, 129–139, 140–152], and the reviews by Bernard and Doyon [153] and by Vasseur and Moore [154] in this volume, but we will not consider them here.”