Exact closed master equation for Gaussian non-Markovian dynamics
Quantum Physics
2016-03-30 v2
Abstract
Non-Markovian master equations describe general open quantum systems when no approximation is made. We provide the exact closed master equation for the class of Gaussian, completely positive, trace preserving, non-Markovian dynamics. This very general result allows to investigate a vast variety of physical systems. We show that the master equation for non-Markovian quantum Brownian motion is a particular case of our general result. Furthermore, we derive the master equation unraveled by a non-Markovian, dissipative stochastic Schr\"odinger equation, paving the way for the analysis of dissipative non-Markovian collapse models.
Cite
@article{arxiv.1512.07244,
title = {Exact closed master equation for Gaussian non-Markovian dynamics},
author = {L. Ferialdi},
journal= {arXiv preprint arXiv:1512.07244},
year = {2016}
}