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Title: Jarzynski equality in PT-symmetric quantum mechanics

Journal Article · · Physical Review Letters
 [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division and Center for Nonlinear Studies

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.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1221221
Alternate ID(s):
OSTI ID: 1181127
Report Number(s):
LA-UR-15-20355; PRLTAO
Journal Information:
Physical Review Letters, Vol. 114, Issue 15; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 44 works
Citation information provided by
Web of Science

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Quantum work statistics of linear and nonlinear parametric oscillators text January 2010
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Cited By (18)

Bifurcations and exceptional points in a ${ \mathcal P }{ \mathcal T }$-symmetric dipolar Bose–Einstein condensate journal November 2016
Jarzynski Equality for Driven Quantum Field Theories journal February 2018
Quantum geometric tensor in PT -symmetric quantum mechanics journal April 2019
Nonequilibrium work relation from Schrödinger’s unrecognized probability theory journal February 2018
Time-dependent PT -symmetric quantum mechanics in generic non-Hermitian systems journal December 2019
Low-dimensional optical chirality in complex potentials journal January 2016
Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry journal May 2019
Non-Hermitian Swanson model with a time-dependent metric journal October 2016
Two-dimensional non-Hermitian harmonic oscillator: coherent states journal August 2019
Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control journal October 2017
Quantum jump model for a system with a finite-size environment journal June 2016
Quantum work in the Bohmian framework journal January 2018
Symmetry and its breaking in a path-integral approach to quantum Brownian motion journal December 2019
Low-dimensional optical chirality in complex potentials text January 2014
Quantum work and the thermodynamic cost of quantum measurements text January 2016
Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control text January 2017
Jarzynski Equality for Driven Quantum Field Theories text January 2017
Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry text January 2019

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