PARTIAL FACTORIZATION OF WAVE-FUNCTIONS FOR A QUANTUM DISSIPATIVE SYSTEM

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.