Rabi Oscillation of High Partial Wave Interacting Atoms in Deep Optical Lattice

Motivated by the recent experiment of p-wave interacting $^{40}\mathrm{K}$ atom gases in a deep optical lattice, we investigated the Rabi oscillation for any partial wave interacting quantum gases in a deep optical lattice. We first review the solution for two particles interacting by any partial wave in a harmonic trap by using pseudopotential. We generalize the model used in recent work to any partial wave cases, repeated some of the theoretic and experiment results for p-wave interacting $^{40}\mathrm{K}$ atoms in a deep optical lattice and show the results for the d-wave case. Our results may be useful for future experiments and may stimulate further theoretic investigation.