Hydrodynamics of nonintegrable systems from a relaxation-time approximation
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. We validate the predictions of this approximation against matrix product operator calculations on chaotic quantum spin chains, finding surprisingly good agreement. Lastly, we show that despite its simplicity, our framework can capture phenomena distinctive to strongly interacting systems, such as widely separated charge and energy diffusion constants.
- Authors:
-
[1];
- Univ. of Massachusetts, Amherst, MA (United States)
- CUNY College of Staten Island, NY (United States); CUNY, NY (United States)
- Publication Date:
- Research Org.:
- Univ. of Massachusetts, Amherst, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; National Science Foundation (NSF)
- OSTI Identifier:
- 1767042
- Grant/Contract Number:
- SC0019168; DMR-1653271
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 103; Journal Issue: 6; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Diffusion; Kinetic theory; Nonequilibrium statistical mechanics; Transport phenomena; 1-dimensional spin chains; Bose gases; Approximation methods for many-body systems; Hydrodynamics; Integrable systems; Tensor network methods
Citation Formats
Lopez-Piqueres, Javier, Ware, Brayden, Gopalakrishnan, Sarang, and Vasseur, Romain. Hydrodynamics of nonintegrable systems from a relaxation-time approximation. United States: N. p., 2021.
Web. doi:10.1103/physrevb.103.l060302.
Lopez-Piqueres, Javier, Ware, Brayden, Gopalakrishnan, Sarang, & Vasseur, Romain. Hydrodynamics of nonintegrable systems from a relaxation-time approximation. United States. https://doi.org/10.1103/physrevb.103.l060302
Lopez-Piqueres, Javier, Ware, Brayden, Gopalakrishnan, Sarang, and Vasseur, Romain. Wed .
"Hydrodynamics of nonintegrable systems from a relaxation-time approximation". United States. https://doi.org/10.1103/physrevb.103.l060302. https://www.osti.gov/servlets/purl/1767042.
@article{osti_1767042,
title = {Hydrodynamics of nonintegrable systems from a relaxation-time approximation},
author = {Lopez-Piqueres, Javier and Ware, Brayden and Gopalakrishnan, Sarang and Vasseur, Romain},
abstractNote = {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. We validate the predictions of this approximation against matrix product operator calculations on chaotic quantum spin chains, finding surprisingly good agreement. Lastly, we show that despite its simplicity, our framework can capture phenomena distinctive to strongly interacting systems, such as widely separated charge and energy diffusion constants.},
doi = {10.1103/physrevb.103.l060302},
journal = {Physical Review. B},
number = 6,
volume = 103,
place = {United States},
year = {Wed Feb 24 00:00:00 EST 2021},
month = {Wed Feb 24 00:00:00 EST 2021}
}
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