Cp. Sun et al., PARTIAL FACTORIZATION OF WAVE-FUNCTIONS FOR A QUANTUM DISSIPATIVE SYSTEM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(4), 1998, pp. 3900-3904
In this paper, a microscopic approach treating the quantum dissipation
process presented by Yu and Sun [Phys. Rev. A 49, 592 (1994); 51, 184
5 (1995)] is developed to analyze the wave function structure;for the
dynamic evolution of a typical dissipative system-a single-mode boson
soaked in a bath of many bosons. The wave function of the total system
is explicitly obtained as a product of two components of the system a
nd bath in a coherent state representation. It not only describes the
influence of the bath on the variable of the system through the Browni
an motion, but also manifests the back-action of the system on the bat
h and the mutual interaction among the bosons of bath. Due to the back
-action, the total wave function can only be;partially factorizable ev
en if the Brownian motion can be completely ignored in certain cases,
e.g., weak coupling and large detuning. The semiclassical implication
of the back-action, the mutual interaction, and the Brownian motion in
the present model are also discussed by considering the wave packet e
volution of the dissipative system in the coordinate representation.