Emergent hydrodynamics in integrable quantum systems out of equilibrium
Abstract
Understanding the general principles underlying strongly interacting quantum states out of equilibrium is one of the most important tasks of current theoretical physics. With experiments accessing the intricate dynamics of many-body quantum systems, it is paramount to develop powerful methods that encode the emergent physics. Up to now, the strong dichotomy observed between integrable and non-integrable evolutions made an overarching theory difficult to build, especially for transport phenomena where space-time profiles are drastically different. We present a novel framework for studying transport in integrable systems: hydrodynamics with infinitely-many conservation laws. This bridges the conceptual gap between integrable and non-integrable quantum dynamics, and gives powerful tools for accurate studies of space-time profiles. We apply it to the description of energy transport between heat baths, and provide a full description of the current-carrying non-equilibrium steady state and the transition regions in a family of models including the Lieb-Liniger model of interacting Bose gases, realized in experiments.
Cite
@article{arxiv.1605.07331,
title = {Emergent hydrodynamics in integrable quantum systems out of equilibrium},
author = {Olalla A. Castro-Alvaredo and Benjamin Doyon and Takato Yoshimura},
journal= {arXiv preprint arXiv:1605.07331},
year = {2017}
}
Comments
v1: 9 pages, 4 figures. v2: 12 pages, 6 figures. Results extended to include the Lieb-Liniger model. References added. v3: 16 pages, 10 figures. Discussion of generalized hydrodynamics and model analysis improved. References added