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arXiv:0710.1716 · Journal of Statistical Physics

Information and Entropy in Quantum Brownian Motion

Christian Hörhammer, H. Büttner

Published Dec 1, 2008• 62 citations
arXivHTMLPDF
DOI
10.1007/s10955-008-9640-x

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We study the influence of entanglement on the relation between the statistical entropy of an open quantum system and the heat exchanged with a low temperature environment. A model of quantum Brownian motion of the Caldeira–Leggett type—for which a violation of the Clausius inequality has been stated by Th M Nieuwenhuizen and A E Allahverdyan (2002 Phys. Rev. E 66 036102)—is re-examined and the results of the cited work are put into perspective. In order to address the problem from an information theoretical viewpoint a model of two coupled Brownian oscillators is formulated that can also be viewed as a continuum version of a two-qubit system. The influence of an additional internal coupling parameter on heat and entropy changes is described and the findings are compared to the case of a single Brownian particle.
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