Solution of the post-Markovian master equation for a damping harmonic oscillator
X. L. Huang, Jing Nie, Jiao Chen, X. X. Yi · Physica Scripta · 2008
We solve the post-Markovian master equation for a damping harmonic oscillator by virtue of the damping basis approach. With our solution, we study some features for the harmonic oscillator in non-Markovian channel. The results show that the non-Markovian effect governed by the post-Markovian master equation keeps the semi-positivity and slows the energy decay to environment. Moreover, different from the Markovian process, at zero temperature, a coherent state under time evolution does not remain a coherent state.