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Emergent hydrodynamics in integrable quantum systems out of equilibrium

Research output: Contribution to journalArticlepeer-review

Olalla A. Castro-Alvaredo, Benjamin Doyon, Takato Yoshimura

Original languageEnglish
Article number041065
Pages (from-to) 041065-1-041065-17
JournalPhysical Review X
Volume6
Issue number4
Early online date27 Dec 2016
DOIs
Accepted/In press4 Nov 2016
E-pub ahead of print27 Dec 2016
PublishedDec 2016

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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 nonintegrable evolutions made an overarching theory difficult to build, especially for transport phenomena where spacetime 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 nonintegrable quantum dynamics, and gives powerful tools for accurate studies of spacetime profiles. We apply it to the description of energy transport between heat baths, and provide a full description of the current-carrying nonequilibrium steady state and the transition regions in a family of models including the Lieb-Liniger model of interacting Bose gases, realized in experiments.

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