Probing the Fulde-Ferrell-Larkin-Ovchinnikov phase by double occupancy modulation spectroscopy.

In this Letter we consider a spin-imbalanced two-component attractive Fermi gas loaded in a 1D optical lattice in the presence of an harmonic confining potential. We propose that the observation of the change in the double occupancy with respect to a lattice depth modulation can provide clear evidence of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase. Simulating the time evolution of the system, we can characterize the double occupancy spectrum for different initial conditions. In particular, we numerically observe a striking narrowing of the width of the spectrum for increasing imbalance. Using Bethe-ansatz equations in the strongly interacting limit, we show that the width relates directly to the FFLO wave vector q.