H-Theorem for Systems with an Interaction Invariant Distribution Function
A.V. LEBEDEV
1
,
G.B. Lesovik
1
Тип публикации: Journal Article
Дата публикации: 2019-10-18
Включен в RSCI
scimago Q2
БС2
SJR: 0.435
CiteScore: 1.5
Impact factor: —
ISSN: 19950802, 18189962
General Mathematics
Краткое описание
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/S1995080219100184
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
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/S1995080219100184},
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/S1995080219100184.
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