Classical and Quantum Part of the Environment for Quantum Langevin Equations
Mathematical Physics
2016-10-11 v1 math.MP
Operator Algebras
Probability
Quantum Physics
Abstract
Among quantum Langevin equations describing the unitary time evolution of a quantum system in contact with a quantum bath, we completely characterize those equations which are actually driven by classical noises. The characterization is purely algebraic, in terms of the coefficients of the equation. In a second part, we consider general quantum Langevin equations and we prove that they can always be split into a maximal part driven by classical noises and a purely quantum one.
Keywords
Cite
@article{arxiv.1610.02954,
title = {Classical and Quantum Part of the Environment for Quantum Langevin Equations},
author = {Stéphane Attal and Ivan Bardet},
journal= {arXiv preprint arXiv:1610.02954},
year = {2016}
}