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 twolevel toy model are used to demonstrate the validity of the quantum version of the two theorems beyond linear response theory regime.
 Authors:

 Los Alamos National Laboratory
 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):
 LAUR0808069; LAUR088069
TRN: US201016%%2366
 DOE Contract Number:
 AC5206NA25396
 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 twolevel 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}
}
Other availability
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.