Local spin excitations to probe strongly correlated Fermi gases

Ultracold Fermi gases trapped in optical lattices are a useful platform for investigating paradigms of strongly correlated electronic solids, such as the Fermi-Hubbard model. We propose probing local transport in a cubic $^{40}$K optical lattice via direct measurements of spin diffusion and relaxation rates. Using tightly focused Raman beams, we will create a spatially localized minority spin component. Diffusion through the majority gas will be observed in real time using spin-resolved imaging. This technique will allow us to study transport in strongly correlated phases and will complement time-of-flight and Fermi gas microscope techniques. We discuss progress towards implementing this technique.