Comment on "Extraction of work from a single thermal bath in the quantum regime"

Details Comment on "Extraction of work from a single thermal bath in the quantum regime" Comment on "Extraction of work from a single thermal bath in the quantum regime"

2000-11-07

arxiv.org/abs/cond-mat/0011099v3

Physics

Condensed Matter

Statistical Mechanics

3 pages, made minor changes to make the points of the Comment clearer

Scientific paper

Recently Allahverdyan and Nieuwenhuizen (cond-mat/0006404) argued that the second law of thermodynamics may be violated in a quantum system as a "consequence of quantum coherence in the presence of the slightly off-equilibrium nature of the bath." By using a standard result about relative entropy, we prove rigorously that the second law is never violated (and, in particular, a perpetual motion of the second kind can never be realized) in quantum systems no matter how strong ``quantum coherence'' is or no matter how far one goes from equilibrium.

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