Light cones for open quantum systems
Quantum Physics
2023-03-17 v1 Mathematical Physics
math.MP
Abstract
We consider Markovian open quantum dynamics (MOQD). We show that, up to small-probability tails, the supports of quantum states evolving under such dynamics propagate with finite speed in any finite-energy subspace. More precisely, we prove that if the initial quantum state is localized in space, then any finite-energy part of the solution of the von Neumann-Lindblad equation is approximately localized inside an energy-dependent light cone. We also obtain an explicit upper bound for the slope of this light cone.
Cite
@article{arxiv.2303.08921,
title = {Light cones for open quantum systems},
author = {Sébastien Breteaux and Jérémy Faupin and Marius Lemm and Dong Hao Ou Yang and Israel Michael Sigal and Jingxuan Zhang},
journal= {arXiv preprint arXiv:2303.08921},
year = {2023}
}
Comments
43 pages