量子耗散系统波函数的部分因式分解
Partial Factorization of Wave Function for A Quantum Dissipation System
摘要：
Yu和Sun提出的量子耗散过程的微观方法[Phys. Rev.，A49（1994）592，A51（1995）1845]，分析了一个典型的耗散系统--一个浸泡在多玻色子池中的单模玻色子--动力学演化的波函数结构。本文在相干态表象下，将整个系统的波函数明确地表示为系统的两个分量与浴的乘积。它不仅通过布朗运动描述了熔池对系统变量的影响，而且还体现了系统对熔池的反作用以及熔池中玻色子之间相互作用的影响。由于反作用的存在，即使在某些情况下可以忽略布朗运动，总波函数也只能部分分解，例如在弱耦合和大失谐的情况下
英文摘要：
The microscopic approach quantum dissipation process presented by Yu and Sun [Phys. Rev., A49(1994)592, A51(1995)1845] is developed to analyze the wave function structure of dynamic evolution of a typical dissipative system, a single mode boson soaked in a bath of many bosons. In this paper, the wave function of total system is explicitly obtained as a product of two components of the system and the bath in the coherent state representation. It not only describes the influence of the bath on the variable of the system through the Brownian motion, but also manifests the back- action of the system on the bath and the effects of the mutual interaction among the bosons of the bath. Due to the back-action, the total wave function can only be partially factorizable even for the Brownian motion can be ignored in certain senses, such as the cases with weak coupling and large detuning
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