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It is proposed that in s-wave superfluids of cold fermionic atoms with laser-field-generated effective spin-orbit interactions, a topological phase with gapless edge states and Majorana fermion quasiparticles obeying non-Abelian statistics is realized in the case with a large Zeeman magnetic field. In striking contrast to p+ip superfluids, where a vortex of the superfluid order parameter is a non-Abelian anyons, the non-Abelian anyons in our systems are vortices of the SO interaction, i.e. the phase twist caused by the orbital motion accompanying spin flip. We propose an experimental scheme for generating and controlling vortices in the SO interaction, i.e. non-Abelian anyons, which are stabilized by use of a carefully designed laser setup rather than spontaneously formed macroscopic condensates. This scheme can be carried out by utilizing current sophisticated laser techniques. Thus, our scenario provides a promising approach to the realization of quantum computation based on the manipulation of non-Abelian anyons via an s-wave Feshbach resonance. |
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