Spin- and charge-doped attractive Fermi-Hubbard model under a quantum gas microscope

The attractive Fermi-Hubbard model away from half-filling and spin balanced is predicted to host a variety of exotic phases, such as FFLO superfluidity. By harnessing the power of a quantum gas microscope, we are able to perform spin and charged resolved measurements with single-site resolution. With these measurements, we explore the microscopic properties of fermion pairing at various densities, magnetizations, and interaction strengths. We first confirm the robustness of local and non-local fermion pairing by observing the suppressed spin-fluctuation around minority atoms. Furthermore, with the ability to extract all spin and density correlations, we observe the emergence of many-body ordering of fermion pairs at high density and a degenerate fermi surface with increasing magnetization. Finally, we combine these microscopic correlator measurements to classify the behavior of the system as the density and spin imbalance are varied.