Generalized Moyal structures in phase-space, master equations and their classical limit II. Applications to harmonic oscillator models

摘要

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. (C) 1998 Elsevier Science B.V. All rights reserved. [References: 40]