Maximal Speed of Propagation in Open Quantum Systems
Quantum Physics
2022-07-20 v1 Mathematical Physics
math.MP
Abstract
We prove a maximal velocity bound for the dynamics of Markovian open quantum systems. The dynamics are described by one-parameter semi-groups of quantum channels satisfying the von Neumann-Lindblad equation. Our result says that dynamically evolving states are contained inside a suitable light cone up to polynomial errors. We also give a bound on the slope of the light cone, i.e., the maximal propagation speed. The result implies an upper bound on the speed of propagation of local perturbations of stationary states in open quantum systems.
Keywords
Cite
@article{arxiv.2207.08991,
title = {Maximal Speed of Propagation in Open Quantum Systems},
author = {Sébastien Breteaux and Jérémy Faupin and Marius Lemm and Israel Michael Sigal},
journal= {arXiv preprint arXiv:2207.08991},
year = {2022}
}