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Title: Interaction-induced transition in the quantum chaotic dynamics of a disordered metal

Abstract

We demonstrate that a weakly disordered metal with short-range interactions exhibits a transition in the quantum chaotic dynamics when changing the temperature or the interaction strength. For weak interactions, the system displays exponential growth of the out-of-time-ordered correlator (OTOC) of the current operator. The Lyapunov exponent of this growth is temperature-independent in the limit of vanishing interaction. With increasing the temperature or the interaction strength, the system undergoes a transition to a non-chaotic behaviour, for which the exponential growth of the OTOC is absent. We conjecture that the transition manifests itself in the quasiparticle energy-level statistics and also discuss ways of its explicit observation in cold-atom setups.

Authors:
 [1];  [2];  [2]
+ Show Author Affiliations
  1. Univ. of California, Santa Cruz, CA (United States); Univ. of Maryland, College Park, MD (United States)
  2. Univ. of Maryland, College Park, MD (United States)
Publication Date:
Research Org.:
Univ. of Maryland, College Park, MD (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1610588
Alternate Identifier(s):
OSTI ID: 1512812
Grant/Contract Number:  
SC0001911
Resource Type:
Accepted Manuscript
Journal Name:
Annals of Physics
Additional Journal Information:
Journal Volume: 405; Journal ID: ISSN 0003-4916
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Syzranov, S. V., Gorshkov, A. V., and Galitski, V. M. Interaction-induced transition in the quantum chaotic dynamics of a disordered metal. United States: N. p., 2019. Web. doi:10.1016/j.aop.2019.03.008.
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Syzranov, S. V., Gorshkov, A. V., & Galitski, V. M. Interaction-induced transition in the quantum chaotic dynamics of a disordered metal. United States. https://doi.org/10.1016/j.aop.2019.03.008
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Syzranov, S. V., Gorshkov, A. V., and Galitski, V. M. Tue . "Interaction-induced transition in the quantum chaotic dynamics of a disordered metal". United States. https://doi.org/10.1016/j.aop.2019.03.008. https://www.osti.gov/servlets/purl/1610588.
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@article{osti_1610588,
title = {Interaction-induced transition in the quantum chaotic dynamics of a disordered metal},
author = {Syzranov, S. V. and Gorshkov, A. V. and Galitski, V. M.},
abstractNote = {We demonstrate that a weakly disordered metal with short-range interactions exhibits a transition in the quantum chaotic dynamics when changing the temperature or the interaction strength. For weak interactions, the system displays exponential growth of the out-of-time-ordered correlator (OTOC) of the current operator. The Lyapunov exponent of this growth is temperature-independent in the limit of vanishing interaction. With increasing the temperature or the interaction strength, the system undergoes a transition to a non-chaotic behaviour, for which the exponential growth of the OTOC is absent. We conjecture that the transition manifests itself in the quasiparticle energy-level statistics and also discuss ways of its explicit observation in cold-atom setups.},
doi = {10.1016/j.aop.2019.03.008},
journal = {Annals of Physics},
number = ,
volume = 405,
place = {United States},
year = {Tue Mar 19 00:00:00 EDT 2019},
month = {Tue Mar 19 00:00:00 EDT 2019}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.aop.2019.03.008
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Cited by: 6 works
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Figures / Tables:

FIG. 1 FIG. 1: (Colour online) Classical trajectories of electrons scattered by impurities.
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Works referenced in this record:

Lyapunov Exponent and Out-of-Time-Ordered Correlator’s Growth Rate in a Chaotic System
journal, February 2017

Jarzynski-like equality for the out-of-time-ordered correlator
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Slow scrambling in disordered quantum systems
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Power-law out of time order correlation functions in the SYK model
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Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model
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    Works referencing / citing this record:

    Chaos and the dynamics of information in dissipative electronic systems
    journal, September 2019

    Universal level statistics of the out-of-time-ordered operator
    text, January 2018

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      Figures / Tables found in this record:

      FIG. 1 (p. 3)figure
      FIG. 2 (p. 4)figure
      FIG. 3 (p. 7)figure
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