Fermi-Hubbard Model in Tunable-Geometry Lattices*

Ultracold atoms in optical lattices provide new perspectives into the study of strongly correlated systems. Fermi gas microscopes, in particular, offer single site-resolved readout and manipulation to elucidate the intricate quantum phases in the Fermi Hubbard model such as pseudo gap, strange metal and High-Tc superconductivity. We demonstrate this capability by studying the time- and site-resolved dynamics of a hole dopant after a quench and how it scrambles the spin environment. We also report on progress towards an upgraded optical lattice. By interfering and phase-locking the lattice beams, the lattice geometry can be tuned to triangular, honeycomb and non-bipartite square geometries. This would allow introducing geometric frustration in quantum magnetism and studying the Fermi Hubbard model beyond the square lattice band structure. The dynamical tunability would also facilitate adiabatic state preparation of low entropy strongly-correlated quantum phases.