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The second law of thermodynamics in the quantum Brownian oscillator at an arbitrary temperature

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  • I. Kim
  • G. Mahler

Abstract

In the classical limit no work is needed to couple a system to a bath with sufficiently weak coupling strength (or with arbitrarily finite coupling strength for a linear system) at the same temperature. In the quantum domain this may be expected to change due to system-bath entanglement. Here we show analytically that the work needed to couple a single linear oscillator with finite strength to a bath cannot be less than the work obtainable from the oscillator when it decouples from the bath. Therefore, the quantum second law holds for an arbitrary temperature. This is a generalization of the previous results for zero temperature [Ford and O'Connell, Phys. Rev. Lett. 96, 020402 (2006); Kim and Mahler, Eur. Phys. J. B 54, 405 (2006)]; in the high temperature limit we recover the classical behavior. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Suggested Citation

  • I. Kim & G. Mahler, 2007. "The second law of thermodynamics in the quantum Brownian oscillator at an arbitrary temperature," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 60(3), pages 401-408, December.
    • Handle: RePEc:spr:eurphb:v:60:y:2007:i:3:p:401-408
    DOI: 10.1140/epjb/e2007-00354-5
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