Bilayer Fermi-Hubbard physics under a quantum gas microscope*

Two crucial goals of experiments on strongly-correlated fermions in optical lattices are to understand how fermion pairing depends on dimensionality, and to understand how pairing is altered when the lattice is doped with excess charge and spin. In this talk, we introduce an experimental platform to address these questions. We realize a bilayer two-dimensional Fermi-Hubbard system under a quantum gas microscope through the use of a coherent, out-of-plane, double-well superlattice. This double-well superlattice is also used to reveal the full spin and charge configuration of a single layer system through a two-step process of out-of-plane Stern Gerlach separation, followed by bilayer-selective illumination. These advances represent steps toward quantum simulators which closely mimic and inform the properties of real materials.