%0 Figure %A Nascimbène, Sylvain %D 2013 %T (a) Scheme of the electronic states used for creating spin-dependent optical lattices with a JJ' = J − 1 optical transition %U https://iop.figshare.com/articles/figure/_a_Scheme_of_the_electronic_states_used_for_creating_spin_dependent_optical_lattices_with_a_em_J_em_/1012021 %R 10.6084/m9.figshare.1012021.v1 %2 https://ndownloader.figshare.com/files/1479846 %K latter acts %K topological superfluidity %K Majorana fermions %K 1 D gas %K laser configuration %K ultracold fermionic atoms %K Feshbach molecules %K topological superfluid %K fermionic atoms %K Majorana edge state %K perturbative limit %K 1 D system %K superfluid gap %K topological superfluid boundaries %K 2 D %K topological superfluid phase %K plane wave %K uniform gas %K x lattice %K Cooper pair reservoir %K 1 D tube %K Atomic Physics %K Molecular Physics %X

Figure 10. (a) Scheme of the electronic states used for creating spin-dependent optical lattices with a JJ' = J − 1 optical transition. (b) Lattice potential along x obtained by interfering a standing wave along z with a plane wave along x. The required spin-dependent lattice configuration is achieved for specific choices of polarization. (c) Geometry of the complete laser configuration generating the optical lattice potential and the laser-induced tunnelling in the x lattice.

Abstract

We propose an experimental implementation of a topological superfluid with ultracold fermionic atoms. An optical superlattice is used to juxtapose a 1D gas of fermionic atoms and a 2D conventional superfluid of condensed Feshbach molecules. The latter acts as a Cooper pair reservoir and effectively induces a superfluid gap in the 1D system. Combined with a spin-dependent optical lattice along the 1D tube and laser-induced atom tunnelling, we obtain a topological superfluid phase. In the regime of weak couplings to the molecular field and for a uniform gas, the atomic system is equivalent to Kitaev's model of a p-wave superfluid. Using a numerical calculation, we show that the topological superfluidity is robust beyond the perturbative limit and in the presence of a harmonic trap. Finally, we describe how to investigate some physical properties of the Majorana fermions located at the topological superfluid boundaries. In particular, we discuss how to prepare and detect a given Majorana edge state.

%I IOP Publishing