Fock-space delocalization and its control in scarred-vs-ergodic dynamics

arXiv:2610.40805v1 Announce Type: new Abstract: Quantum many-body scarred dynamics in Rydberg-atom arrays is characterized by revivals, in which the system repeatedly returns to its initial state despite its many-body complexity. But how extensively does the wave function explore the space of allowed configurations between revivals? We address this question by quantifying the fraction of configurations occupied during PXP dynamics initialized from the paradigmatic polarized and N\'eel states, which respectively exhibit thermalizing and scarred dynamics. Despite their striking revivals, dynamics from the N\'eel state spreads over exponentially many configurations, yet occupies a vanishing fraction of the full space in the thermodynamic limit.