Two Dimensional Synthetic Lattices of Laser-Coupled Atomic Momentum States

The one-dimensional Momentum Space Lattices (MSLs) offering spectroscopic control over lattice Hamiltonian terms have proven to be a versatile platform for studying lattice physics, quantum simulation, and topological materials. In this poster, I discuss our effort to implement the MSLs in two dimensions using a ³⁹K Bose-Einstein Condensate. Comparing to our previous implementation of 1D MSLs using ⁸⁷Rb BECs, the ³⁹K BEC with its accessible magnetic Feshbach resonance will allow precise tuning of atomic interactions in the MSL. This 2D MSL will enable the engineering of exotic lattice structures and flat-band materials, as well as the exploration of new phenomena in topological, disordered, and frustrated systems.