Nascimbène, Sylvain (a) Scheme of the bichromatic superlattice potential along <em>z</em> (black line), made of the superposition of two standing waves of wavelength λ (blue line) and 2 λ (red line) <p><strong>Figure 9.</strong> (a) Scheme of the bichromatic superlattice potential along <em>z</em> (black line), made of the superposition of two standing waves of wavelength λ (blue line) and 2 λ (red line). The energy offset δ in the resulting double-well potential can be controlled using a relative offset in position of the two standing waves. (b) Amplitude of the standing wave along <em>z</em> used for generating the <em>y</em> lattice, which vanishes at <em>z<sub>B</sub></em>. (c) Superlattice potential with the Wannier function in plane <em>B</em> centred on <em>z<sub>B</sub></em>.</p> <p><strong>Abstract</strong></p> <p>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.</p> latter acts;Majorana edge state;topological superfluidity;Majorana fermions;1 D gas;bichromatic superlattice;ultracold fermionic atoms;Feshbach molecules;topological superfluid;plane B centred;perturbative limit;1 D system;superfluid gap;topological superfluid boundaries;y lattice;2 D;Wannier function;topological superfluid phase;fermionic atoms;uniform gas;Cooper pair reservoir;1 D tube;Atomic Physics;Molecular Physics 2013-06-24
    https://iop.figshare.com/articles/figure/_a_Scheme_of_the_bichromatic_superlattice_potential_along_em_z_em_black_line_made_of_the_superpositi/1012020
10.6084/m9.figshare.1012020.v1