Spin-orbit-coupled topological Fulde-Ferrell states of fermions in a harmonic trap
arXiv:1404.6211 · doi:10.1103/PhysRevA.90.053606
Abstract
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.
arXiv comment5 pages, 4 figures + 2 pages supplemental material
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- Energetics and structural properties of two- and three-boson systems in the presence of 1D spin-orbit coupling