H-theorem in quantum physics

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

doi:10.1038/srep32815

journal article Open Access Sep 12, 2016

H-theorem in quantum physics

G. B. Lesovik A. V. Lebedev

I. A. Sadovskyy M. V. Suslov V. M. Vinokur

Scientific Reports Vol. 6 No. 1 · Springer Science and Business Media LLC

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Abstract

AbstractRemarkable 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.

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Published: Sep 12, 2016
Vol/Issue: 6(1)
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G. B. Lesovik, A. V. Lebedev, I. A. Sadovskyy, et al. (2016). H-theorem in quantum physics. Scientific Reports, 6(1). https://doi.org/10.1038/srep32815

H-theorem in quantum physics

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