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This article is cited in 9 scientific papers (total in 9 papers)
Quadratic Fermionic Dynamics with Dissipation
A. E. Teretenkov Lomonosov Moscow State University
Abstract:
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.
Received: 29.03.2017
Citation:
A. E. Teretenkov, “Quadratic Fermionic Dynamics with Dissipation”, Mat. Zametki, 102:6 (2017), 908–916; Math. Notes, 102:6 (2017), 846–854
Linking options:
https://www.mathnet.ru/eng/mzm11613https://doi.org/10.4213/mzm11613 https://www.mathnet.ru/eng/mzm/v102/i6/p908
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Abstract page: | 421 | Full-text PDF : | 63 | References: | 49 | First page: | 24 |
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