Symplectic Noise & The Classical Analog of the Lindblad Generator
Quantum Physics
2015-08-27 v3 Mathematical Physics
math.MP
Abstract
We introduce the concepts of Poisson brackets for classical noise, and of canonically conjugate Wiener processes (symplectic noise). Phase space diffusions driven by these processes are considered and the general form of a stochastic process preserving the full (system and noise) Poisson structure is obtained. We show that, once the classical stochastic model is required to preserve the joint system and noise Poisson bracket, it has much in common with quantum markovian models.
Keywords
Cite
@article{arxiv.1412.7279,
title = {Symplectic Noise & The Classical Analog of the Lindblad Generator},
author = {John Gough},
journal= {arXiv preprint arXiv:1412.7279},
year = {2015}
}
Comments
14 pages, no figures - (typos corrected - factor of \mathsf{s} restored)