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arXiv · 1503.03723

The Moyal Equation for open quantum systems

Karl-Peter Marzlin·Stephen Deering
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Abstract

We generalize the Moyal equation, which describes the dynamics of quantum observables in phase space, to quantum systems coupled to a reservoir. It is shown that phase space observables become functionals of fluctuating noise forces introduced by the coupling to the reservoir. For Markovian reservoirs, the Moyal equation turns into a functional differential equation in which the reservoir's effect can be described by a single parameter.

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Karl-Peter Marzlin, Stephen Deering. 2015-03-12. The Moyal Equation for open quantum systems. https://doi.org/10.1088/1751-8113/48/20/205301

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