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Title: Information Scrambling and Loschmidt Echo

Abstract

We demonstrate analytically and verify numerically that the out-of-time order correlator is given by the thermal average of Loschmidt echo signals. This provides a direct link between the out-of-time-order correlator—a recently suggested measure of information scrambling in quantum chaotic systems—and the Loschmidt echo, a well-appreciated familiar diagnostic that captures the dynamical aspect of chaotic behavior in the time domain, and is accessible to experimental studies.

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
+ Show Author Affiliations
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1726166
Report Number(s):
LA-UR-19-21861
Journal ID: ISSN 0031-9007; TRN: US2205072
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 124; Journal Issue: 16; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Mathematics; Quantum chaos; Quantum statistical mechanics; Quantum thermodynamics; 0-dimensional systems; Quantum chaotic systems; Chaos & nonlinear dynamics; Exact diagonalization

Citation Formats

Cincio, Lukasz, Yan, Bin, and Zurek, Wojciech Hubert. Information Scrambling and Loschmidt Echo. United States: N. p., 2020. Web. doi:10.1103/physrevlett.124.160603.
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Cincio, Lukasz, Yan, Bin, & Zurek, Wojciech Hubert. Information Scrambling and Loschmidt Echo. United States. https://doi.org/10.1103/physrevlett.124.160603
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Cincio, Lukasz, Yan, Bin, and Zurek, Wojciech Hubert. Fri . "Information Scrambling and Loschmidt Echo". United States. https://doi.org/10.1103/physrevlett.124.160603. https://www.osti.gov/servlets/purl/1726166.
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@article{osti_1726166,
title = {Information Scrambling and Loschmidt Echo},
author = {Cincio, Lukasz and Yan, Bin and Zurek, Wojciech Hubert},
abstractNote = {We demonstrate analytically and verify numerically that the out-of-time order correlator is given by the thermal average of Loschmidt echo signals. This provides a direct link between the out-of-time-order correlator—a recently suggested measure of information scrambling in quantum chaotic systems—and the Loschmidt echo, a well-appreciated familiar diagnostic that captures the dynamical aspect of chaotic behavior in the time domain, and is accessible to experimental studies.},
doi = {10.1103/physrevlett.124.160603},
journal = {Physical Review Letters},
number = 16,
volume = 124,
place = {United States},
year = {Fri Apr 24 00:00:00 EDT 2020},
month = {Fri Apr 24 00:00:00 EDT 2020}
}
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https://doi.org/10.1103/physrevlett.124.160603
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