Lobachevskii Journal of Mathematics, volume 40, issue 10, pages 1516-1520

H-Theorem for Systems with an Interaction Invariant Distribution Function

Publication type: Journal Article
Publication date: 2019-10-18
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Impact factor: 0.4
ISSN: 19950802, 18189962
General Mathematics
Abstract
H-theorem gives necessary conditions for a system to evolve in time with a non-diminishing entropy. In a quantum case the role of H-theorem plays the unitality criteria of a quantum channel transformation describing the evolution of the system’s density matrix under the presence of the interaction with an environment. Here, we show that if diagonal elements of the system’s density matrix are robust to the presence of interaction the corresponding quantum channel is unital.
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LEBEDEV A., Lesovik G. H-Theorem for Systems with an Interaction Invariant Distribution Function // Lobachevskii Journal of Mathematics. 2019. Vol. 40. No. 10. pp. 1516-1520.
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LEBEDEV A., Lesovik G. H-Theorem for Systems with an Interaction Invariant Distribution Function // Lobachevskii Journal of Mathematics. 2019. Vol. 40. No. 10. pp. 1516-1520.
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TY - JOUR
DO - 10.1134/S1995080219100184
UR - https://doi.org/10.1134%2FS1995080219100184
TI - H-Theorem for Systems with an Interaction Invariant Distribution Function
T2 - Lobachevskii Journal of Mathematics
AU - LEBEDEV, A.V.
AU - Lesovik, G.B.
PY - 2019
DA - 2019/10/18 00:00:00
PB - Pleiades Publishing
SP - 1516-1520
IS - 10
VL - 40
SN - 1995-0802
SN - 1818-9962
ER -
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@article{2019_LEBEDEV,
author = {A.V. LEBEDEV and G.B. Lesovik},
title = {H-Theorem for Systems with an Interaction Invariant Distribution Function},
journal = {Lobachevskii Journal of Mathematics},
year = {2019},
volume = {40},
publisher = {Pleiades Publishing},
month = {oct},
url = {https://doi.org/10.1134%2FS1995080219100184},
number = {10},
pages = {1516--1520},
doi = {10.1134/S1995080219100184}
}
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LEBEDEV, A.V., and G.B. Lesovik. “H-Theorem for Systems with an Interaction Invariant Distribution Function.” Lobachevskii Journal of Mathematics, vol. 40, no. 10, Oct. 2019, pp. 1516-1520. https://doi.org/10.1134%2FS1995080219100184.
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