A stochastic model for the dynamics of electromagnetic waves connected to each other on the mirror
A.M. Basharov
aMoscow Aviation Institute (National Research University), Moscow, 125993 Russia
bInstitute of Applied Mechanics, Russian Academy of Sciences, Moscow, 125040 Russia
E-mail: basharov@gmail.com
Received December 4, 2017
Abstract
The paper develops stochastic differential equations serving as the basis for derivation of master equations for microcavity photons pumped with either classic or quantized contracted fields. The interaction operator on the microcavity mirror is derived from the non-resonant field operator interacti ng with the quantum particle by means of the algebraic perturbation theory, with allowance for various interference processes.
Keywords: Markovian approximation, quantum stochastic differential equation, master equation, nonresonant interaction
Acknowledgments. We thank Professor V.V. Samartsev for his interest in and support for this research. The study was supported in part by the Russian Foundation for Basic Research (project no. 16-02-00453a).
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For citation: Basharov A.M. A stochastic model for the dynamics of electromagnetic waves connected to each other on the mirror. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2017, vol. 160, no. 1, pp. 7–16. (In Russian)
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