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Title: Work Statistics, Loschmidt Echo and Information Scrambling in Chaotic Quantum Systems

Abstract

Characterizing the work statistics of driven complex quantum systems is generally challenging because of the exponential growth with the system size of the number of transitions involved between different energy levels. We consider the quantum work distribution associated with the driving of chaotic quantum systems described by random matrix Hamiltonians and characterize exactly the work statistics associated with a sudden quench for arbitrary temperature and system size. Knowledge of the work statistics yields the Loschmidt echo dynamics of an entangled state between two copies of the system of interest, the thermofield double state. This echo dynamics is dictated by the spectral form factor. We discuss its relation to frame potentials and its use to assess information scrambling.

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]
  1. Donostia International Physics Center, San Sebastian (Spain); IKERBASQUE, Bilbao (Spain); Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. Technical Univ. of Cartagena, Cartagena (Spain)
  3. Donostia International Physics Center, San Sebastian (Spain); IKERBASQUE, Bilbao (Spain); Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Massachusetts, Boston, MA (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1525836
Report Number(s):
LA-UR-18-23369
Journal ID: ISSN 2521-327X
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Accepted Manuscript
Journal Name:
Quantum
Additional Journal Information:
Journal Volume: 3; Journal ID: ISSN 2521-327X
Publisher:
Quantum Science Open Community
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Quantum chaotic systems

Citation Formats

Chenu, Aurélia, Molina-Vilaplana, Javier, and del Campo, Adolfo. Work Statistics, Loschmidt Echo and Information Scrambling in Chaotic Quantum Systems. United States: N. p., 2019. Web. doi:10.22331/q-2019-03-04-127.
Chenu, Aurélia, Molina-Vilaplana, Javier, & del Campo, Adolfo. Work Statistics, Loschmidt Echo and Information Scrambling in Chaotic Quantum Systems. United States. doi:10.22331/q-2019-03-04-127.
Chenu, Aurélia, Molina-Vilaplana, Javier, and del Campo, Adolfo. Mon . "Work Statistics, Loschmidt Echo and Information Scrambling in Chaotic Quantum Systems". United States. doi:10.22331/q-2019-03-04-127. https://www.osti.gov/servlets/purl/1525836.
@article{osti_1525836,
title = {Work Statistics, Loschmidt Echo and Information Scrambling in Chaotic Quantum Systems},
author = {Chenu, Aurélia and Molina-Vilaplana, Javier and del Campo, Adolfo},
abstractNote = {Characterizing the work statistics of driven complex quantum systems is generally challenging because of the exponential growth with the system size of the number of transitions involved between different energy levels. We consider the quantum work distribution associated with the driving of chaotic quantum systems described by random matrix Hamiltonians and characterize exactly the work statistics associated with a sudden quench for arbitrary temperature and system size. Knowledge of the work statistics yields the Loschmidt echo dynamics of an entangled state between two copies of the system of interest, the thermofield double state. This echo dynamics is dictated by the spectral form factor. We discuss its relation to frame potentials and its use to assess information scrambling.},
doi = {10.22331/q-2019-03-04-127},
journal = {Quantum},
number = ,
volume = 3,
place = {United States},
year = {2019},
month = {3}
}

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