skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Quantum crooks fluctuation theorem and quantum Jarzynski equality in the presence of a reservoir

Abstract

We consider the quantum mechanical generalization of Crooks Fluctuation and Jarzynski Equality Theorem for an open quantum system. The explicit expression for microscopic work for an arbitrary prescribed protocol is obtained, and the relation between quantum Crooks Fluctuation Theorem, quantum Jarzynski Equality and their classical counterparts are clarified. Numerical simulations based on a two-level toy model are used to demonstrate the validity of the quantum version of the two theorems beyond linear response theory regime.

Authors:
 [1];  [2]
  1. Los Alamos National Laboratory
  2. CHINESE ACADEMY OF SCIENCES
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
956681
Report Number(s):
LA-UR-08-08069; LA-UR-08-8069
TRN: US201016%%2366
DOE Contract Number:  
AC52-06NA25396
Resource Type:
Journal Article
Journal Name:
Physical Review E
Additional Journal Information:
Journal Name: Physical Review E
Country of Publication:
United States
Language:
English
Subject:
71; COMPUTERIZED SIMULATION; EQUILIBRIUM; FLUCTUATIONS; NUMERICAL ANALYSIS; QUANTUM MECHANICS; STATISTICAL MECHANICS; THERMODYNAMICS

Citation Formats

Quan, H T, and Dong, H. Quantum crooks fluctuation theorem and quantum Jarzynski equality in the presence of a reservoir. United States: N. p., 2008. Web.
Quan, H T, & Dong, H. Quantum crooks fluctuation theorem and quantum Jarzynski equality in the presence of a reservoir. United States.
Quan, H T, and Dong, H. Tue . "Quantum crooks fluctuation theorem and quantum Jarzynski equality in the presence of a reservoir". United States. https://www.osti.gov/servlets/purl/956681.
@article{osti_956681,
title = {Quantum crooks fluctuation theorem and quantum Jarzynski equality in the presence of a reservoir},
author = {Quan, H T and Dong, H},
abstractNote = {We consider the quantum mechanical generalization of Crooks Fluctuation and Jarzynski Equality Theorem for an open quantum system. The explicit expression for microscopic work for an arbitrary prescribed protocol is obtained, and the relation between quantum Crooks Fluctuation Theorem, quantum Jarzynski Equality and their classical counterparts are clarified. Numerical simulations based on a two-level toy model are used to demonstrate the validity of the quantum version of the two theorems beyond linear response theory regime.},
doi = {},
url = {https://www.osti.gov/biblio/956681}, journal = {Physical Review E},
number = ,
volume = ,
place = {United States},
year = {2008},
month = {1}
}