Integral representation of finite temperature non-Markovian evolution of some RWA systems

• URL: http://arxiv.org/abs/2003.13993v1
• Date: Tue, 31 Mar 2020 07:19:57 GMT
• Title: Integral representation of finite temperature non-Markovian evolution of some RWA systems
• Authors: A. E. Teretenkov
• Abstract summary: We introduce the Friedrichs model at finite temperature which is one- and zero-particle restriction of spin-boson in the rotating wave approximation. We also consider the oscillator interacting with bosonic thermal bath in the rotating wave approximation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We introduce the Friedrichs model at finite temperature which is one- and zero-particle restriction of spin-boson 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 mean excitation number for this oscillator. Both solutions are expressed in terms of integrals of zero-temperature solutions with correspondent correlation functions.

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