The dynamics of Li-6 fermions in a 1D optical shaken lattice

An optical lattice serves as a great platform for quantum simulation, including in dynamical situations using the Floquet model. Using a shaken lattice, the dispersion relation of single particles can be tuned. We implemented a 1D optical lattice to our all-optical dipole trap for molelcular Bose condensates of Li-6 pairs. The driving signal is modulated through an IQ modulator fed to two AOMs, which shakes the lattice. By loading a molecular BEC into the shaking lattice, we have achieved coupling between the first two energy bands resulting in a double-well dispersion. In this talk, I will report our observations of the atomic cloud bifurcated into two soliton-like peaks traveling in the quasimomentum space. We also installed a high-resolution absorption imaging system, with resolution up to two microns. By taking the in-situ data of the BEC in the shaken lattice, a density corrugation is observed in the atom cloud, which is caused by the two bifurcated wave peaks with opposing momentum beginning to separate. We interpreted and model our result by the Gross-Pitaveski equation.