1. Light cones for open quantum systems
- Author
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Breteaux, Sébastien, Faupin, Jérémy, Lemm, Marius, Yang, Dong Hao Ou, Sigal, Israel Michael, and Zhang, Jingxuan
- Subjects
Quantum Physics ,Mathematical Physics - 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., Comment: 43 pages
- Published
- 2023