Prediction for a Dirac Spin Liquid in a Rydberg Tweezer Array

A long-standing focus in the study of quantum antiferromagnetism has been the search for quantum spin liquid ground states, which host intricate long-range quantum entanglement and exotic low-energy excitations. Recently, experiments involving hundreds of strongly interacting, individually trapped Rydberg atoms have become strong contenders for realizing such spin liquids.  In this talk, we present our numerical investigation of a long-range antiferromagnetic XY model that naturally arises in tweezer arrays, where the effective spin is encoded in a pair of Rydberg states. Large-scale iDMRG calculations reveal the ground state of this model on the kagome lattice to be a gapless Dirac spin liquid. We also discuss the possibility of adiabatically preparing the Dirac spin liquid from a simple paramagnet initial state.