On light cone bounds for Markov quantum open systems
arXiv:2503.20635
summary
The paper investigates the space‑time propagation of solutions to von Neumann‑Lindblad equations for Markov quantum open systems and proves that their influence is confined within an effective light cone, with only exponentially small spill‑over beyond it.
Abstract
We study space-time behaviour of solutions of the von Neumann-Lindblad equations underlying the dynamics of Markov quantum open systems. For a large class of these equations, we prove the existence of an effective light cone with an exponentially small spill-over.
28 pages, published in LMP
Topics & keywords
#open quantum systems#Lindblad equation#light cone bounds#propagation estimates#Markov dynamicsvon Neumann-Lindbladeffective light coneexponential spill-overMarkov semigroupspatial locality