随机过程主方程解的研究
首发时间:2009-07-06
摘要:两个耦合谐振子的主方程已经由B.L.Hu, J.P.Paz 和Y.Zhang 等人利用影响泛函的方法推出。这个方程式约化密度矩阵的演化方程,它对一般主方程的研究很有用。本篇文章主要考虑在许多量子谐振子所组成的线性耦合环境的影响下,一个布朗量子谐振子组成的系统模型,在0k和某个有限温度下的情况。首先展示了有关约化密度矩阵主方程的形式和解的形式;接着推导出欧姆谱和分洛朗级数谱这两个随机过程主方程的解;最后从累积量,延时不确定关系和线性熵等方面来研究随机过程主方程的解及其系数特点。
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Analysis of stochastic process master equation solutions
Abstract:The master equation of two coupled harmonic oscillators in a general environment has been derived by B.L.Hu, J.P.Paz and Y.Zhang. They used influence functional method. This equation is the evolutionary equation of the reduced density matrix which is useful for the study of general master equation. In this paper we visit the model of a system made up of a Brownian quantum oscillator under the influence of linearly coupled to an environment made up of many quantum oscillators at 0k or finite temperature. And we show the form of the reduced density matrix master equation and its solution at first .Then we derive the solutions of Ohmic spectrum and Laurent series spectra master equations. Finally, we make analysis of the solutions of stochastic process and their coefficients from the cumulants, late time uncertainty function and linear entropy,
Keywords: reduced density matrix Ohmic spectrum Laurent series spectra master equation
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No.3364622202312468****
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