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Title: Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains

Abstract

We report on the nonequilibrium dynamics of random spin chains that remain integrable (i.e., solvable via Bethe ansatz): because of correlations in the disorder, these systems escape localization and feature ballistically spreading quasiparticles. We derive a generalized hydrodynamic theory for dynamics in such random integrable systems, including diffusive corrections due to disorder, and use it to study nonequilibrium energy and spin transport. We demonstrate that diffusive corrections to the ballistic propagation of quasiparticles can arise even in noninteracting settings, in sharp contrast to clean integrable systems. This suggests that operator fronts broaden diffusively in random integrable systems. By tuning parameters in the disorder distribution, one can drive this model through an unusual phase transition, between a phase where all wave functions are delocalized and a phase in which low-energy wave functions are quasilocalized (in a sense we specify). Both phases have ballistic transport; however, in the quasilocalized phase, local autocorrelation functions decay with an anomalous power law, and the density of states diverges at low energy.

Authors:
 [1];  [2];  [1]
  1. Univ. of Massachusetts, Amherst, MA (United States)
  2. CUNY College of Staten Island, Staten Island, NY (United States); ; City Univ. (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) (SC-22). Materials Sciences & Engineering Division; USDOE
OSTI Identifier:
1512705
Alternate Identifier(s):
OSTI ID: 1512815
Grant/Contract Number:  
SC0019168
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 17; 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; Transport; hydrodynamics; integrable systems; disordered systems; Anderson localization

Citation Formats

Agrawal, Utkarsh, Gopalakrishnan, Sarang, and Vasseur, Romain. Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.99.174203.
Agrawal, Utkarsh, Gopalakrishnan, Sarang, & Vasseur, Romain. Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains. United States. doi:10.1103/PhysRevB.99.174203.
Agrawal, Utkarsh, Gopalakrishnan, Sarang, and Vasseur, Romain. Wed . "Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains". United States. doi:10.1103/PhysRevB.99.174203.
@article{osti_1512705,
title = {Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains},
author = {Agrawal, Utkarsh and Gopalakrishnan, Sarang and Vasseur, Romain},
abstractNote = {We report on the nonequilibrium dynamics of random spin chains that remain integrable (i.e., solvable via Bethe ansatz): because of correlations in the disorder, these systems escape localization and feature ballistically spreading quasiparticles. We derive a generalized hydrodynamic theory for dynamics in such random integrable systems, including diffusive corrections due to disorder, and use it to study nonequilibrium energy and spin transport. We demonstrate that diffusive corrections to the ballistic propagation of quasiparticles can arise even in noninteracting settings, in sharp contrast to clean integrable systems. This suggests that operator fronts broaden diffusively in random integrable systems. By tuning parameters in the disorder distribution, one can drive this model through an unusual phase transition, between a phase where all wave functions are delocalized and a phase in which low-energy wave functions are quasilocalized (in a sense we specify). Both phases have ballistic transport; however, in the quasilocalized phase, local autocorrelation functions decay with an anomalous power law, and the density of states diverges at low energy.},
doi = {10.1103/PhysRevB.99.174203},
journal = {Physical Review B},
number = 17,
volume = 99,
place = {United States},
year = {2019},
month = {5}
}

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