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Tr. Mat. Inst. Steklova, 2018, Volume 301, Pages 276–286 (Mi tm3917)  

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

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.


DOI: https://doi.org/10.1134/S0371968518020206

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English version:
Proceedings of the Steklov Institute of Mathematics, 2018, 301, 262–271

Bibliographic databases:

Document Type: Article
UDC: 517.958:530.145.6
Received: November 8, 2017

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, Tr. 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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\vol 301
\pages 276--286
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  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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