H-theorem in quantum physics

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

doi:10.1038/srep32815

H-theorem in quantum physics

Journal Article · Mon Sep 12 00:00:00 EDT 2016 · Scientific Reports

DOI:https://doi.org/10.1038/srep32815· OSTI ID:1352603

Lesovik, G. B. ^[1]; Lebedev, A. V. ^[2]; Sadovskyy, I. A. ^[3]; Suslov, M. V. ^[4]; Vinokur, V. M. ^[3]

Russian Academy of Sciences (RAS), Moscow (Russian Federation). L.D. Landau Inst. for Theoretical Physics; Federal Inst. of Technology, Zurich (Switzerland). Theoretische Physik
Federal Inst. of Technology, Zurich (Switzerland). Theoretische Physik
Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
Moscow Inst. of Physics and Technology (MIPT), Moscow (Russian Federation)

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. Lastly, we further demonstrate that the typical evolution of energy-isolated quantum systems occurs with non-diminishing entropy.

View Accepted Manuscript (DOE)

Research Organization:: Argonne National Laboratory (ANL)

Sponsoring Organization:: Swiss National Science Foundation (SNSF); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1352603

Journal Information:: Scientific Reports, Journal Name: Scientific Reports Journal Issue: 1 Vol. 6; ISSN 2045-2322

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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Cited By (5)

Arrow of time and its reversal on the IBM quantum computer Lesovik, G. B.; Sadovskyy, I. A.; Suslov, M. V. Scientific Reports, Vol. 9, Issue 1 https://doi.org/10.1038/s41598-019-40765-6	journal	March 2019
Quantum Landauer erasure with a molecular nanomagnet Gaudenzi, R.; Burzurí, E.; Maegawa, S. Nature Physics, Vol. 14, Issue 6 https://doi.org/10.1038/s41567-018-0070-7	journal	March 2018
Extended quantum Maxwell demon acting over macroscopic distances Lebedev, A. V.; Lesovik, G. B.; Vinokur, V. M. Physical Review B, Vol. 98, Issue 21 https://doi.org/10.1103/physrevb.98.214502	journal	December 2018
Arrow of time and its reversal on the IBM quantum computer Lesovik, Gordey B.; Sadovskyy, Ivan A.; Suslov, M. V. ETH Zurich https://doi.org/10.3929/ethz-b-000332774	text	January 2019
Extended quantum Maxwell demon acting over macroscopic distances Lebedev, A. V.; Lesovik, G. B.; Vinokur, V. M. arXiv https://doi.org/10.48550/arxiv.1811.05349	text	January 2018

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