Towards studies of nonequilibrium dynamics and ground-state phases in microwave-dressed Rydberg arrays

Ultracold atoms trapped in configurable arrays of optical tweezers provide a controllable platform for exploring long-range quantum magnetism. In this talk, I will describe progress toward studies of exotic quantum magnets in dipolar Rydberg arrays of ⁸⁷Rb atoms based on the engineering of tunable dressed states via strong microwave driving. I will discuss the realization of tunable XY, XXZ, and Ising spin models in few-level Rydberg systems, and how to probe their distinct properties through equilibrium and nonequilibrium response. Finally, I will describe progress toward exploring multi-level quantum magnets, including few-state Potts models and hard-core bosonic t-J models, in many-level Rydberg arrays.