Geodesic
Quadratic Fermionic Dynamics with Dissipation
Matematičeskie zametki, Tome 102 (2017) no. 6, pp. 908-916.

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Gaussian solutions of the Cauchy problem for the GKS-L equation (in the Schrödinger picture) with quadratic fermionic generators are obtained. These Gaussian solutions are represented both as exponentials of quadratic forms in fermionic creation-annihilation operators and by their normal symbols. The coefficients of these forms are represented as algebraic functions of matrices.
Keywords: the Gorini–Kossakowski–Sudarshan equation, the Lindblad equation, quantum dissipation, Gaussian states, completely positive quantum dynamics. 
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A. E. Teretenkov. Quadratic Fermionic Dynamics with Dissipation. Matematičeskie zametki, Tome 102 (2017) no. 6, pp. 908-916. http://geodesic.mathdoc.fr/item/MZM_2017_102_6_a10/

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