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• W3100372283 endingPage "1950015" @default.
• W3100372283 startingPage "1950015" @default.
• W3100372283 abstract "We study the nonlinear quantum master equation describing a laser under the mean field approximation. The quantum system is formed by a single mode optical cavity and two level atoms, which interact with reservoirs. Namely, we establish the existence and uniqueness of the regular solution to the nonlinear operator equation under consideration, as well as we get a probabilistic representation for this solution in terms of a mean field stochastic Schrödinger equation. To this end, we find a regular solution for the nonautonomous linear quantum master equation in Gorini–Kossakowski–Sudarshan–Lindblad form, and we prove the uniqueness of the solution to the nonautonomous linear adjoint quantum master equation in Gorini–Kossakowski–Sudarshan–Lindblad form. Moreover, we obtain rigorously the Maxwell–Bloch equations from the mean field laser equation." @default.
• W3100372283 created "2020-11-23" @default.
• W3100372283 creator A5026656670 @default.
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• W3100372283 date "2019-09-01" @default.
• W3100372283 modified "2023-09-23" @default.
• W3100372283 title "Basic Properties of a Mean Field Laser Equation" @default.
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• W3100372283 doi "https://doi.org/10.1142/s123016121950015x" @default.
• W3100372283 hasPublicationYear "2019" @default.
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