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On the von Neumann entropy of a bath linearly coupled to a driven quantum system
KTH, School of Computer Science and Communication (CSC), Computational Biology, CB. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre. Aalto Univ, Finland.
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Stockholm Univ, Sweden.
2015 (English)In: New Journal of Physics, ISSN 1367-2630, Vol. 17, 065007Article in journal (Refereed) Published
Abstract [en]

The change of the von Neumann entropy of a set of harmonic oscillators initially in thermal equilibrium and interacting linearly with an externally driven quantum system is computed by adapting the Feynman-Vernon influence functional formalism. This quantum entropy production has the form of the expectation value of three functionals of the forward and backward paths describing the system history in the Feynman-Vernon theory. In the classical limit of Kramers-Langevin dynamics (Caldeira-Leggett model) these functionals combine to three terms, where the first is the entropy production functional of stochastic thermodynamics, the classical work done by the system on the environment in units of k(B)T, and the second and the third other functionals which have no analogue in stochastic thermodynamics.

Place, publisher, year, edition, pages
2015. Vol. 17, 065007
Keyword [en]
entropy production, von Neumann entropy, Feynman-Vernon, Caldeira-Leggett
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-173175DOI: 10.1088/1367-2630/17/6/065007ISI: 000358927100001OAI: diva2:853507
Swedish Research Council, 621-2012-2982

QC 20150914

Available from: 2015-09-14 Created: 2015-09-07 Last updated: 2015-09-14Bibliographically approved

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