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arXiv · 1512.07244

Exact closed master equation for Gaussian non-Markovian dynamics

L. Ferialdi
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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 Schrödinger equation, paving the way for the analysis of dissipative non-Markovian collapse models.

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L. Ferialdi. 2016-03-23. Exact closed master equation for Gaussian non-Markovian dynamics. https://doi.org/10.1103/physrevlett.116.120402

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