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

par Tzanakis, Constantinos;Grecos, Alkis ;Hatjimanolaki, Polyxeni
Référence Physica. A, 256, 1-2, page (112-128)
Publication Publié, 1998-07

Article révisé par les pairs

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Résumé :

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. © 1998 Elsevier Science B.V. All rights reserved.