Realization of a doped quantum antiferromagnet in a Rydberg tweezer array*

Doping an antiferromagnetic (AFM) Mott insulator is central to our understanding of a variety of phenomena in strongly-correlated electrons. To describe the competition between tunneling t of hole dopants and AFM spin interactions J, theoretical and numerical studies often focus on the paradigmatic t-J model. Here, we realize a doped quantum antiferromagnet with next-nearest neighbour (NNN) tunnelings t' and hard-core bosonic holes using a Rydberg tweezer platform. We utilize coherent dynamics between three Rydberg levels, encoding spins and holes, to implement a tunable bosonic t-J-V model allowing us to study previously inaccessible parameter regimes. We observe dynamical phase separation between hole and spin domains, and demonstrate the formation of repulsively bound hole pairs.