English

The Moyal Equation for open quantum systems

Quantum Physics 2015-05-01 v1

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.

Keywords

Cite

@article{arxiv.1503.03723,
  title  = {The Moyal Equation for open quantum systems},
  author = {Karl-Peter Marzlin and Stephen Deering},
  journal= {arXiv preprint arXiv:1503.03723},
  year   = {2015}
}

Comments

7 pages

R2 v1 2026-06-22T08:51:13.139Z