Generalized Moyal structures in phase-space, master equations and their classical limit

Constantinos Tzanakis, Alkis P. Grecos and Polyxeni Hatjimanolaki

Physica A: Statistical Mechanics and its Applications, 1998, vol. 256, issue 1, 112-128

Abstract: The formalism of the phase-space representation of quantum master equations via generalized Wigner transformations developed in a previous paper, is applied to the Lindblad-type kinetic equation, for a quantum harmonic oscillator coupled to an equilibrium bath of oscillators. The resulting equation is derived without introducing the rotating-wave approximation. In the classical limit, the equation reduces to a Fokker–Planck equation, which coincides with the one derived from the corresponding classical Hamiltonian. The formalism is also applied to other oscillator model equations often used in quantum optics.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:256:y:1998:i:1:p:112-128

DOI: 10.1016/S0378-4371(98)00108-3

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