Orbital order of spinless fermions near an optical Feshbach resonance

Understand

We study the quantum phases of a three-color Hubbard model that arises in the dynamics of the p-band orbitals of spinless fermions in an optical lattice.

• Strong, color-dependent interactions are induced by an optical Feshbach resonance.
• Starting from the microscopic scattering properties of ultracold atoms, we derive the orbital exchange constants at 1/3 filling on the cubic optical lattice.
• Using this, we compute the phase diagram in a Gutzwiller ansatz.