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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Volume 301, Pages 276–286
DOI: https://doi.org/10.1134/S0371968518020206 (Mi tm3917) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Finding stationary solutions of the Lindblad equation by analyzing the entropy production functional

A. S. Trushechkinabc

a Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
b National Research Nuclear University MEPhI, Kashirskoe sh. 31, Moscow, 115409 Russia
c National University of Science and Technology MISIS, Leninskii pr. 4, Moscow, 119049 Russia
Full-text PDF (214 kB) Citations (7)
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DOI: https://doi.org/10.1134/S0371968518020206
Abstract: A necessary and sufficient condition is derived for a density operator to be a stationary solution for a certain class of Lindblad equations in the theory of open quantum systems. This condition is based on the properties of a functional that in some cases corresponds to entropy production. Examples are given where this condition is used to find stationary solutions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-2815.2017.1
This work was supported by a grant of the President of the Russian Federation, project no. MK-2815.2017.1.
Received: November 8, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2018, Volume 301, Pages 262–271
DOI: https://doi.org/10.1134/S008154381804020X
Bibliographic databases:
Document Type: Article
UDC: 517.958:530.145.6
Language: Russian
Citation: A. S. Trushechkin, “Finding stationary solutions of the Lindblad equation by analyzing the entropy production functional”, Complex analysis, mathematical physics, and applications, Collected papers, Trudy Mat. Inst. Steklova, 301, MAIK Nauka/Interperiodica, Moscow, 2018, 276–286; Proc. Steklov Inst. Math., 301 (2018), 262–271
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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