Quantum Simulation of the Fermi-Hubbard Model

Developments in quantum gas microscopy have enabled detailed studies of the repulsive Fermi-Hubbard model. Using fermionic Lithium-6 in a square lattice, we observe the transition into an antiferromagnet at temperatures below the superexchange energy. We use a novel pattern-finding algorithm to characterize the system’s behavior upon hole-doping. This new observable provides evidence that holes may be hiding the antiferromagnetic order rather than destroying it. We then investigate the deterministic injection of a single mobile dopant into an antiferromagnet and observe how it propagates. Finally, we discuss our progress towards an optical lattice with dynamically tunable interference contrast, which enables several low-entropy state preparation schemes and spin-resolved readout.