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Le Journal de Physique Colloques

THE DME AS AN APPROXIMATION TO THE WIGNER TRANSFORM

Joan Martorell, E. Moya de Guerra

Published Jun 1, 1984• 0 citations
Publisher

Abstract

The DME without truncation leads to a Wigner transform with the same moments as the exact transform. Using a harmonic oscillator model for the magic nuclei we obtain analytic expressions for these moments and compare with those of various truncated DME's.
DOI
10.1051/jphyscol:1984623

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We obtain analytic solutions to various models of dissipation of the quantum harmonic oscillator, employing a simple method in the Wigner function Fourier transform description of the system; and study as an exemplification, the driven open quantum harmonic oscillator. The environmental models we use are based on optical master equations for the zero and finite temperature bath and whose open dynamics are described by a Lindblad master equation, and also we use the Caldeira-Leggett model for the high temperature limit, in the the under damped an the over damped case. Under the Wigner Fourier transform or chord function as it has been called, it becomes particularly simple to solve the dynamics of the open oscillator in the sense that the dynamics of the system are reduced to the application of an evolution matrix related to the damped motion of the oscillator.