Quantum Brownian motion and the second law of thermodynamics

ILki Kim () and Günter Mahler

The European Physical Journal B: Condensed Matter and Complex Systems, 2006, vol. 54, issue 3, 405-414

Abstract: We consider a single harmonic oscillator coupled to a bath at zero temperature. As is well-known, the oscillator then has a higher average energy than that given by its ground state. Here we show analytically that for a damping model with arbitrarily discrete distribution of bath modes and damping models with continuous distributions of bath modes with cut-off frequencies, this excess energy is less than the work needed to couple the system to the bath, therefore, the quantum second law is not violated. On the other hand, the second law may be violated for bath modes without cut-off frequencies, which are, however, physically unrealistic models. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Keywords: 03.65.Ud Entanglement and quantum nonlocality; 05.40.-a Fluctuation phenomena; random processes; noise; and Brownian motion; 05.70.-a Thermodynamics (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1140/epjb/e2007-00013-y

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