Local accessibility of quantum information in programmable Rydberg atom arrays

We investigate open-system dynamics in programmable Rydberg neutral atom array quantum simulators. Focusing on interacting spin Hamiltonians realizable with neutral-atom arrays using Rydberg-mediated interactions, we study how local quantum information spreads, scrambles, and how the initial states memory can be partially retrieved in open many-body systems. We consider how local perturbations propagate across one-dimensional chains and extended geometries, and how coupling to effective environments modifies scrambling, relaxation, and non-equilibrium dynamics. This work provides a framework for exploring information dynamics in near-term neutral-atom quantum simulation platforms, and highlights conceptual and computational approaches that inform ongoing experiments.