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Article Dans Une Revue Journal of Physics B: Atomic, Molecular and Optical Physics Année : 2013

Realizing one-dimensional topological superfluids with ultracold atomic gases

Sylvain Nascimbène

Résumé

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 tunneling, we obtain a topological superfluid phase. In the regime of weak couplings to the molecular fl eld 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.
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Dates et versions

hal-00737368 , version 1 (01-10-2012)

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Sylvain Nascimbène. Realizing one-dimensional topological superfluids with ultracold atomic gases. Journal of Physics B: Atomic, Molecular and Optical Physics, 2013, 46, pp.134005. ⟨10.1088/0953-4075/46/13/134005⟩. ⟨hal-00737368⟩
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