Unified treatment of the quantum fluctuation theorem and the Jarzynski equality in terms of microscopic reversibility

T. Monnai

Research output: Contribution to journalArticle

57 Citations (Scopus)

Abstract

There are two related theorems which hold even in far from equilibrium, namely fluctuation theorem and Jarzynski equality. Fluctuation theorem states the existence of symmetry of fluctuation of entropy production, while the Jarzynski equality enables us to estimate the free energy change between two states by using irreversible processes. On the other hand, the relationship between these theorems was investigated by Crooks [Phys. Rev. E 60, 2721 (1999)] for the classical stochastic systems. In this paper, we derive quantum analogues of fluctuation theorem and Jarzynski equality in terms of microscopic reversibility. In other words, the quantum analog of the work by Crooks is presented. Also, for the quasiclassical Langevin system, microscopically reversible condition is confirmed.

Original languageEnglish
Article number027102
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume72
Issue number2
DOIs
Publication statusPublished - 2005 Aug

Fingerprint

Fluctuation Theorem
Quantum Fluctuations
Reversibility
Equality
theorems
Analogue
Irreversible Processes
Reversible Systems
Entropy Production
Theorem
Stochastic Systems
Free Energy
analogs
irreversible processes
Fluctuations
Symmetry
Estimate
free energy
entropy
symmetry

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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