Geodesic
Finding stationary solutions of the Lindblad equation by analyzing the entropy production functional
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis, mathematical physics, and applications, Tome 301 (2018), pp. 276-286

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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. 
@article{TM_2018_301_a19,
     author = {A. S. Trushechkin},
     title = {Finding stationary solutions of the {Lindblad} equation by analyzing the entropy production functional},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {276--286},
     publisher = {mathdoc},
     volume = {301},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2018_301_a19/}
}
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A. S. Trushechkin. Finding stationary solutions of the Lindblad equation by analyzing the entropy production functional. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis, mathematical physics, and applications, Tome 301 (2018), pp. 276-286. http://geodesic.mathdoc.fr/item/TM_2018_301_a19/