A programmable 2D Fermi-Hubbard simulator*

Fermi-Hubbard models are paradigmatic models for studying strongly correlated lattice fermions which can be cleanly realized in cold atom experiments. However, so far optical lattice experiments have been limited in both the attainable entropies and available geometries. Here we present an alternative quantum simulation platform based on optical tweezer arrays which combines deterministic single tweezer ground state loading and tunnel coupling between nearest neighbor sites. Building on prior work in 1D, we present a novel technique using a stroboscopically modulated tweezer array towards realizing the 2D Fermi Hubbard model in arbitrary lattice geometries.  Combined with a bilayer imaging procedure which provides full spin-charge readout, this method allows us to load perfect band insulators in triangular, Lieb and ring geometries with up to 30 fermions. Our experiment opens the door to study Fermi-Hubbard physics in unexplored geometries which are predicted to host novel properties such as ferromagnetic ground states and quantum spin liquids.