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Title: Jarzynski equality in PT-symmetric quantum mechanics

Abstract

We show that the quantum Jarzynski equality generalizes to PT -symmetric quantum mechanics with unbroken PT -symmetry. In the regime of broken PT -symmetry the Jarzynski equality does not hold as also the CPT -norm is not preserved during the dynamics. These findings are illustrated for an experimentally relevant system – two coupled optical waveguides. It turns out that for these systems the phase transition between the regimes of unbroken and broken PT -symmetry is thermodynamically inhibited as the irreversible work diverges at the critical point.

Authors:
 [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division and Center for Nonlinear Studies
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1221221
Alternate Identifier(s):
OSTI ID: 1181127
Report Number(s):
LA-UR-15-20355
Journal ID: ISSN 0031-9007; PRLTAO
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 114; Journal Issue: 15; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Deffner, Sebastian, and Saxena, Avadh. Jarzynski equality in PT-symmetric quantum mechanics. United States: N. p., 2015. Web. doi:10.1103/PhysRevLett.114.150601.
Deffner, Sebastian, & Saxena, Avadh. Jarzynski equality in PT-symmetric quantum mechanics. United States. doi:https://doi.org/10.1103/PhysRevLett.114.150601
Deffner, Sebastian, and Saxena, Avadh. Mon . "Jarzynski equality in PT-symmetric quantum mechanics". United States. doi:https://doi.org/10.1103/PhysRevLett.114.150601. https://www.osti.gov/servlets/purl/1221221.
@article{osti_1221221,
title = {Jarzynski equality in PT-symmetric quantum mechanics},
author = {Deffner, Sebastian and Saxena, Avadh},
abstractNote = {We show that the quantum Jarzynski equality generalizes to PT -symmetric quantum mechanics with unbroken PT -symmetry. In the regime of broken PT -symmetry the Jarzynski equality does not hold as also the CPT -norm is not preserved during the dynamics. These findings are illustrated for an experimentally relevant system – two coupled optical waveguides. It turns out that for these systems the phase transition between the regimes of unbroken and broken PT -symmetry is thermodynamically inhibited as the irreversible work diverges at the critical point.},
doi = {10.1103/PhysRevLett.114.150601},
journal = {Physical Review Letters},
number = 15,
volume = 114,
place = {United States},
year = {2015},
month = {4}
}

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Cited by: 19 works
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Fluctuation theorems for quantum processes
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Non-equilibrium equalities with unital quantum channels
journal, June 2013


Jarzynski equality for quantum stochastic maps
journal, January 2014


Exceptional Points in a Microwave Billiard with Time-Reversal Invariance Violation
journal, April 2011


Observation of Defect States in P T -Symmetric Optical Lattices
journal, May 2013


    Works referencing / citing this record:

    Quantum work and the thermodynamic cost of quantum measurements
    journal, July 2016


    Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control
    journal, October 2017

    • Deffner, Sebastian; Campbell, Steve
    • Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 45
    • DOI: 10.1088/1751-8121/aa86c6