Email this article Finding Stationary Solutions of the Lindblad Equation by Analyzing the Entropy Production Functional
- Authors: Trushechkin A.S.1,2,3
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- National Research Nuclear University MEPhI
- National University of Science and Technology MISIS
- Issue: Vol 301, No 1 (2018)
- Pages: 262-271
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175593
- DOI: https://doi.org/10.1134/S008154381804020X
- ID: 175593
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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.
About the authors
A. S. Trushechkin
Steklov Mathematical Institute of Russian Academy of Sciences; National Research Nuclear University MEPhI; National University of Science and Technology MISIS
Author for correspondence.
Email: trushechkin@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991; Kashirskoe sh. 31, Moscow, 115409; Leninskii pr. 4, Moscow, 119049
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