%0 Journal Article %J Physical Review A %D 2014 %T Spin-orbit-coupled topological Fulde-Ferrell states of fermions in a harmonic trap %A Lei Jiang %A Eite Tiesinga %A Xia-Ji Liu %A Hui Hu %A Han Pu %X 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. %B Physical Review A %V 90 %8 2014/11/7 %G eng %U http://arxiv.org/abs/1404.6211v1 %N 5 %! Phys. Rev. A %R 10.1103/PhysRevA.90.053606