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• W3012852118 abstract "In this paper we consider deterministic nonlinear time evolutions satisfying so called convex quasi-linearity condition. Such evolutions preserve the equivalence of ensembles and therefore are free from problems with signaling. We show that if family of linear non-trace-preserving maps satisfies the semigroup property then the generated family of convex quasi-linear operations also possesses the semigroup property. Next we generalize the Gorini-Kossakowski-Sudarshan-Lindblad type equation for the considered evolution. As examples we discuss the general qubit evolution in our model as well as an extension of the Jaynes-Cummings model. We apply our formalism to spin density matrix of a charged particle moving in the electromagnetic field as well as to flavor evolution of solar neutrinos." @default.
• W3012852118 created "2020-03-27" @default.
• W3012852118 creator A5033102153 @default.
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• W3012852118 date "2021-03-23" @default.
• W3012852118 modified "2023-10-17" @default.
• W3012852118 title "Nonlinear extension of the quantum dynamical semigroup" @default.
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• W3012852118 doi "https://doi.org/10.22331/q-2021-03-23-420" @default.
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