Locally Controlled Multi-State Rydberg Atom Arrays

Trapped atoms in optical tweezer arrays provide a powerful platform for quantum simulation, precision metrology, and quantum information processing. Beyond real-space programmability, coherent microwave control of the atoms' rich Rydberg manifolds enables flexible engineering of internal multi-level structures. In this poster, we'll describe our combination of site-resolved optical addressing with coherent microwave control of internal states for the realization of a versatile multi-state toolbox in Rydberg arrays. These capabilities will allow us to simulate systems with enlarged local Hilbert spaces, including paraparticles exhibiting exchange statistics beyond bosons and fermions. We report progress on programmable preparation of product states and on measurements of the ensuing dynamics in a two-flavor paraparticle system. In addition, we exploit multi-level control to implement an effective time-reversed Hamiltonian, with potential applications to enhanced quantum sensing. These works highlight the technical capabilities of multi-state engineering in atom arrays and open a route to exploring quantum dynamics in systems with complex internal structure and geometry beyond conventional two-level systems.