Finding Stationary Solutions of the Lindblad Equation by Analyzing the Entropy Production Functional


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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.

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A. Trushechkin

Steklov Mathematical Institute of Russian Academy of Sciences; National Research Nuclear University MEPhI; National University of Science and Technology MISIS

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Email: trushechkin@mi.ras.ru
俄罗斯联邦, ul. Gubkina 8, Moscow, 119991; Kashirskoe sh. 31, Moscow, 115409; Leninskii pr. 4, Moscow, 119049

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