TY - JOUR T1 - Spin-orbit-coupled topological Fulde-Ferrell states of fermions in a harmonic trap JF - Physical Review A Y1 - 2014 A1 - Lei Jiang A1 - Eite Tiesinga A1 - Xia-Ji Liu A1 - Hui Hu A1 - Han Pu AB - Motivated by recent experimental breakthroughs in generating spin-orbit coupling in ultracold Fermi gases using Raman laser beams, we present a systematic study of spin-orbit-coupled Fermi gases confined in a quasi-one-dimensional trap in the presence of an in-plane Zeeman field (which can be realized using a finite two-photon Raman detuning). We find that a topological Fulde-Ferrell state will emerge, featuring finite-momentum Cooper pairing and zero-energy Majorana excitations localized near the edge of the trap based on the self-consistent Bogoliubov-de Genes (BdG) equations. We find analytically the wavefunctions of the Majorana modes. Finally using the time-dependent BdG we show how the finite-momentum pairing field manifests itself in the expansion dynamics of the atomic cloud. VL - 90 UR - http://arxiv.org/abs/1404.6211v1 CP - 5 J1 - Phys. Rev. A U5 - 10.1103/PhysRevA.90.053606 ER -