Nonequilibrium work equalities in isolated quantum systems

doi:10.1088/1674-1056/23/7/070512

Abstract We briefly introduce the quantum Jarzynski and Bochkov-Kuzovlev equalities in isolated quantum Hamiltonian systems, including their origin, their derivations using a quantum Feynman-Kac formula, the quantum Crooks equality, the evolution equations governing the characteristic functions of the probability density functions for the quantum work, and recent experimental verifications. Some results are given here for the first time. We particularly emphasize the formally structural consistence between these quantum equalities and their classical counterparts, which are useful for understanding the existing equalities and pursuing new fluctuation relations in other complex quantum systems.

Keywords: nonequilibrium isolated quantum systems work equality probability density function of quantum work quantum Feynman-Kac formula

Received: 27 February 2014
Revised: 07 April 2014
Accepted manuscript online:

PACS:	05.70.Ln	(Nonequilibrium and irreversible thermodynamics)
	05.30.-d	(Quantum statistical mechanics)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11174025).

Corresponding Authors: Ouyang Zhong-Can
E-mail: feiliu@buaa.edu.cn

About author: 05.70.Ln; 05.30.-d

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Liu Fei (柳飞), Ouyang Zhong-Can (欧阳钟灿) Nonequilibrium work equalities in isolated quantum systems 2014 Chin. Phys. B 23 070512

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Nonequilibrium work equalities in isolated quantum systems

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