Hydrodynamics of nonintegrable systems from a relaxation-time approximation

• URL: http://arxiv.org/abs/2005.13546v3
• Date: Sun, 28 Feb 2021 19:53:31 GMT
• Title: Hydrodynamics of nonintegrable systems from a relaxation-time approximation
• Authors: Javier Lopez-Piqueres, Brayden Ware, Sarang Gopalakrishnan, Romain Vasseur
• Abstract summary: We develop a general kinetic theory framework to describe the hydrodynamics of strongly interacting, nonequilibrium quantum systems. It gives a simple, but surprisingly accurate, prescription for computing nonequilibrium transport even in strongly interacting systems.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We develop a general kinetic theory framework to describe the hydrodynamics of strongly interacting, nonequilibrium quantum systems in which integrability is weakly broken, leaving a few residual conserved quantities. This framework is based on a generalized relaxation-time approximation; it gives a simple, but surprisingly accurate, prescription for computing nonequilibrium transport even in strongly interacting systems. This approximation reproduces the crossover from generalized to conventional hydrodynamics in interacting one-dimensional Bose gases with integrability-breaking perturbations, both with and without momentum conservation. It also predicts the hydrodynamics of chaotic quantum spin chains, in good agreement with matrix product operator calculations.

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