Probing non-Abelian statistics of Majorana fermions in ultracold atomic superfluid

Details Probing non-Abelian statistics of Majorana fermions in ultracold atomic superfluid Probing non-Abelian statistics of Majorana fermions in ultracold atomic superfluid

2010-12-28

arxiv.org/abs/1012.5761v2

Phys.Rev.Lett.106:100404,2011

Physics

Condensed Matter

Quantum Gases

4 pages; Add detailed discussion of feasibility of the scheme;add refs

Scientific paper

10.1103/PhysRevLett.106.100404

We propose an experiment to directly probe the non-Abelian statistics of Majorana fermions by braiding them in an s-wave superfluid of ultracold atoms. We show different orders of braiding operations give orthogonal output states that can be distinguished through Raman spectroscopy. Realization of Majorana bound states in an s-wave superfluid requires strong spin-orbital coupling and a controllable Zeeman field in the perpendicular direction. We present a simple laser configuration to generate the artificial spin-orbital coupling and the required Zeeman field in the dark state subspace.

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