Abstract

We introduce the Friedrichs model at the finite temperature which is one- and zero-particle restriction of the spin-boson model in the rotating wave approximation and obtain the population of the excited state for this model. We also consider the oscillator interacting with bosonic thermal bath in the rotating wave approximation and obtain dynamics of the mean excitation number for this oscillator. Both solutions are expressed in terms of integrals of zero-temperature solutions with correspondent correlation functions.

中文翻译：

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旋转波逼近中某些系统有限温度非马尔可夫演化的积分表示

摘要

我们在旋转波近似中引入自旋玻色子模型的一粒子和零粒子约束的有限温度下的弗里德里希斯模型，并获得该模型的激发态总体。我们还考虑了振荡器在旋转波近似中与玻色子热浴相互作用，并获得了该振荡器平均激励数的动力学。两种解均以零温度解的积分和相应的相关函数表示。