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耗散两态系统的动力学特性
引用本文:衣学喜,张朝民.耗散两态系统的动力学特性[J].光子学报,1997,26(9):771-776.
作者姓名:衣学喜  张朝民
作者单位:[1]东北师范大学物理研究所 [2]佳木斯工学院物理教研室
基金项目:吉林省科委青年研究基金
摘    要:利用Born-Oppenheimer近似研究了零温时耗散两态系统的动力学特性.在不同环境谱分布下,给出了两态之间的跃迁几率随时间的变化.数值结果表明:当环境的谱分布为Ohmic形式时,跃迁几率是一个衰减的函数;而当谱分布为随机取值时,跃迁几率具有“量子跳跃”的特性.与之相对比,我们还给出了当把环境等价成无穷多个谱振子的集合时,跃迁几率随时间的变化.

关 键 词:耗散两态系统  B-O近似  量子跃迁
收稿时间:1996-12-23

DYNAMICS OF THE DISSIPATIVE TWO-STATE SYSTEM
Yi Xuexi, Zhang Chaomin, Wang Dongren.DYNAMICS OF THE DISSIPATIVE TWO-STATE SYSTEM[J].Acta Photonica Sinica,1997,26(9):771-776.
Authors:Yi Xuexi  Zhang Chaomin  Wang Dongren
Institution:1. Institute of Theoretical Physics, Northeast Normal University, Changchun 130024;2. Department of Physics, Jilin University, Changchun 130023;3. Division of Physics, Jiamusi Institute of Technological Science, Jiamusi 154007;4. Department of Chemistry, Northeast Normal Unversity, Changchun 130024
Abstract:Based on the Born-Oppenheimer approximation,the zero-temperature dynamics of the two-state system is studied in this paper. Treating the bath as bosons,the transition probability iS givenand discussed for various spectral distribution of the reservoir. As a result of computer siinulation,thetransition probability displays a .damped oscillation function of time, when the spectral distrubutiontakes so-called the Ohmic form with a cut-off mp,whereas the quantum jump appears in the transitionprobability when the spectral distribution is random with the same cut - off. For the purpose ofcomparison, the temporal properties of the probability is also derived and discussed for the case inwhich the bath is treated as infinite 0scillators.
Keywords:Dissipative two-state system  B-O approximation  Quantum jump
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