The fluctuation theorem for currents in open quantum systems

D. Andrieux, P. Gaspard, T. Monnai, S. Tasaki

Research output: Contribution to journalArticle

109 Citations (Scopus)

Abstract

A quantum-mechanical framework is set up to describe the full counting statistics of particles flowing between reservoirs in an open system under time-dependent driving. A symmetry relation is obtained, which is the consequence of microreversibility for the probability of the nonequilibrium work and the transfer of particles and energy between the reservoirs. In some appropriate long-time limit, the symmetry relation leads to a steady-state quantum fluctuation theorem for the currents between the reservoirs. On this basis, relationships are deduced which extend the Onsager-Casimir reciprocity relations to the nonlinear response coefficients.

Original languageEnglish
Article number043014
JournalNew Journal of Physics
Volume11
DOIs
Publication statusPublished - 2009 Apr 7

Fingerprint

theorems
symmetry
counting
statistics
coefficients
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

The fluctuation theorem for currents in open quantum systems. / Andrieux, D.; Gaspard, P.; Monnai, T.; Tasaki, S.

In: New Journal of Physics, Vol. 11, 043014, 07.04.2009.

Research output: Contribution to journalArticle

Andrieux, D. ; Gaspard, P. ; Monnai, T. ; Tasaki, S. / The fluctuation theorem for currents in open quantum systems. In: New Journal of Physics. 2009 ; Vol. 11.
@article{28e8425a58a540a29919b9e93053d5c2,
title = "The fluctuation theorem for currents in open quantum systems",
abstract = "A quantum-mechanical framework is set up to describe the full counting statistics of particles flowing between reservoirs in an open system under time-dependent driving. A symmetry relation is obtained, which is the consequence of microreversibility for the probability of the nonequilibrium work and the transfer of particles and energy between the reservoirs. In some appropriate long-time limit, the symmetry relation leads to a steady-state quantum fluctuation theorem for the currents between the reservoirs. On this basis, relationships are deduced which extend the Onsager-Casimir reciprocity relations to the nonlinear response coefficients.",
author = "D. Andrieux and P. Gaspard and T. Monnai and S. Tasaki",
year = "2009",
month = "4",
day = "7",
doi = "10.1088/1367-2630/11/4/043014",
language = "English",
volume = "11",
journal = "New Journal of Physics",
issn = "1367-2630",
publisher = "IOP Publishing Ltd.",

}

TY - JOUR

T1 - The fluctuation theorem for currents in open quantum systems

AU - Andrieux, D.

AU - Gaspard, P.

AU - Monnai, T.

AU - Tasaki, S.

PY - 2009/4/7

Y1 - 2009/4/7

N2 - A quantum-mechanical framework is set up to describe the full counting statistics of particles flowing between reservoirs in an open system under time-dependent driving. A symmetry relation is obtained, which is the consequence of microreversibility for the probability of the nonequilibrium work and the transfer of particles and energy between the reservoirs. In some appropriate long-time limit, the symmetry relation leads to a steady-state quantum fluctuation theorem for the currents between the reservoirs. On this basis, relationships are deduced which extend the Onsager-Casimir reciprocity relations to the nonlinear response coefficients.

AB - A quantum-mechanical framework is set up to describe the full counting statistics of particles flowing between reservoirs in an open system under time-dependent driving. A symmetry relation is obtained, which is the consequence of microreversibility for the probability of the nonequilibrium work and the transfer of particles and energy between the reservoirs. In some appropriate long-time limit, the symmetry relation leads to a steady-state quantum fluctuation theorem for the currents between the reservoirs. On this basis, relationships are deduced which extend the Onsager-Casimir reciprocity relations to the nonlinear response coefficients.

UR - http://www.scopus.com/inward/record.url?scp=66449086491&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=66449086491&partnerID=8YFLogxK

U2 - 10.1088/1367-2630/11/4/043014

DO - 10.1088/1367-2630/11/4/043014

M3 - Article

VL - 11

JO - New Journal of Physics

JF - New Journal of Physics

SN - 1367-2630

M1 - 043014

ER -