Tunable Control of Kinetic Constraints in a Rydberg Atom Array

Kinetically constrained models can host rich dynamical behavior, such as localization and quantum many-body scarring. In a Rydberg atom array, kinetic constraints can be effected using Rydberg blockade, spin exchange, or facilitation. Recently, we have shown that the combination of Rydberg blockade and facilitation can lead to a broad class of kinetically-constrained effective models. In this talk, I will discuss the fragmentation of the Hilbert space in some of these models and demonstrate our ability to tune between different models with the help of Floquet frequency modulation. The tunable control allows us to systematically access various regimes of dynamical behavior, ranging from thermalization to dynamical freezing to scars.