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

Journal Article · · Physical Review B
 [1];  [2];  [3]
  1. Univ. of Massachusetts, Amherst, MA (United States); UMass Amherst
  2. CUNY College of Staten Island, Staten Island, NY (United States); City Univ. (CUNY), NY (United States)
  3. Univ. of Massachusetts, Amherst, MA (United States)
+ Show Author Affiliations

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.

Research Organization:
Univ. of Massachusetts, Amherst, MA (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
Grant/Contract Number:
SC0019168
OSTI ID:
1512705
Journal Information:
Physical Review B, Journal Name: Physical Review B Journal Issue: 17 Vol. 99; ISSN 2469-9950; ISSN PRBMDO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Integrable spin chains with random interactions text January 2018
Operator growth and eigenstate entanglement in an interacting integrable Floquet system text January 2018
Diffusive Heat Waves in Random Conformal Field Theory text January 2018
Subdiffusive front scaling in interacting integrable models text January 2018
Diffusion in generalized hydrodynamics and quasiparticle scattering text January 2018
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Time-dependence of correlation functions following a quantum quench text January 2006
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Cited By (5)

Anomalous relaxation and the high-temperature structure factor of XXZ spin chains journal July 2019
Generalized hydrodynamic approach to charge and energy currents in the one-dimensional Hubbard model journal January 2020
Linearized regime of the generalized hydrodynamics with diffusion journal January 2019
Anomalous relaxation and the high-temperature structure factor of XXZ spin chains text January 2019
Generalized Hydrodynamic approach to charge and energy currents in the one-dimensional Hubbard model text January 2019

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75 CONDENSED MATTER PHYSICS
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