Towards tunable atomic interactions in a synthetic lattice of momentum states

We describe progress towards an updated experimental platform for engineering synthetic lattices based on laser-coupled atomic momentum states. Such systems offer high degrees of local and temporal control over the system parameters of artificial tight-binding models. In our new experiments involving Potassium-39 we hope to harness direct control of atomic interactions through a magnetically-controllable Feshbach resonance. Control over interactions will allow for the systematic exploration of interaction-driven phenomena in tunable synthetic lattices, which can, for example, enable studies of the interplay between interactions and band topology. Furthermore, momentum-mode-dependent interactions will enable the generation of squeezed states of linear momentum, which has promising applications in improved inertial sensing.