We study the dynamical correlations in open quantum systems on an example of an exactly solvable dephasing model. The system of non-Markovian kinetic equations for the generalized coherence and quasi-temperature is derived up to the 2-nd order in the coupling constant using the generalized quantum master equation [20]. Numerical and analytical solutions of the kinetic equations are obtained. The analytical result shows a redistribution of the real and imaginary parts of the coherence as compared to the exact one. We give a physical interpretation to the quasi-temperature, relating it to the nonequilibrium kinetic energy of the environment.

中文翻译：

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开放量子系统中的动态相关性：相移模型

我们以一个完全可解的相移模型为例，研究了开放量子系统中的动态相关性。广义相干和准温度的非马尔可夫动力学方程系统使用广义量子主方程[20]推导出耦合常数的二阶。获得了动力学方程的数值解和解析解。分析结果显示了相干性的实部和虚部与精确部分相比的重新分布。我们对准温度进行了物理解释，将其与环境的非平衡动能联系起来。