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Exact Closed Master Equation for Gaussian Non-Markovian Dynamics
1Mathematisches Institut, Ludwig-Maximilians Universität, Theresienstraße 39, 80333 Munich, Germany.
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 us 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 Schrödinger equation, paving the way for the analysis of dissipative non-Markovian collapse models.
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