Expansion of 1D polarized superfluids

We study the axial expansion dynamics of a one dimensional polarized Fermi gas after suddenly released from the confining trap. We perform our comparative studies using both mean-field Bogoliubov-de Gennes (BdG) and the numerically exact Time-Evolving Block Decimation (TEBD) methods. Our results show that strong spin density modulations, which are manifesting signatures of FFLO (Fulde-Ferrel-Larkin-Ovchinnikov) state and can be readily detected in experiment, develop during the expansion of the cloud, giving incontrovertible evidence to the FFLO state.