Fate of quantum many-body scars in the presence of disorder

State-of-the-art quantum simulators have recently accessed new regimes of nonequilibrium many-body quantum dynamics. In particular, simulators based on arrays of interacting Rydberg atoms have shown unexpected non-ergodic oscillations of local observables due to the presence of quantum scars in the energy spectrum. A question, however, that has not been addressed concerns the stability of scar states against disorder. In this talk, we show, using a model of interacting disordered Rydberg atoms, that non-ergodic oscillations continue to occur near the same frequency of the clean system. This is due to the presence of multiple towers of scar resonances that remain approximately centered at the same scar energies of the clean system. We illustrate these results by calculating the magnetization and spatio-temporal correlators of the system, which we use to map out a diagram of the possible dynamical regimes. We thus show that the non-ergodic dynamics due to quantum scars is robust against disorder, which lays the groundwork for understanding experimentally realistic systems.