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arXiv:1407.4437quant-ph

H-theorem in quantum physics

G. B. Lesovik, A. V. Lebedev, I. A. Sadovskyy, M. V. Suslov, V. M. Vinokur

Abstract

Remarkable progress of quantum information theory (QIT) allowed to formulate mathematical theorems for conditions that data-transmitting or data-processing occurs with a non-negative entropy gain. However, relation of these results formulated in terms of entropy gain in quantum channels to temporal evolution of real physical systems is not thoroughly understood. Here we build on the mathematical formalism provided by QIT to formulate the quantum H-theorem in terms of physical observables. We discuss the manifestation of the second law of thermodynamics in quantum physics and uncover special situations where the second law can be violated. We further demonstrate that the typical evolution of energy-isolated quantum systems occurs with non-diminishing entropy.

arXiv comments
8 pages, 4 figures
Journal reference
Sci. Rep. 6, 32815 (2016)
DOI
doi:10.1038/srep32815
Subjects
quant-phQuantum Physics cond-mat.stat-mechStatistical Mechanics

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    • arxiv preprint of original paper here: https://arxiv.org/abs/1407.4437

      keithlfrostView on HNParent context

    • There is a free PDF on the nature site, but the paper is also available on arxiv (https://arxiv.org/abs/1407.4437), the first version on the arxiv dates back to 2014. It's strange, but I find the arxiv version much more readable in terms of typesetting than the polished version…

      timnicView on HNParent context

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