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Probing Non-Abelian Statistics of Majorana Fermions in Ultracold Atomic Superfluid

2010/12/31 by Shi-Liang Zhu, L. B. Shao, L.-B. Shao +3 · 2 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Fermion #MAJORANA #Physics #Quantum #Quantum mechanics #Superfluidity #Topological Materials and Phenomena #Ultracold atom #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1103/physrevlett.106.100404

published as Phys.Rev.Lett.106:100404,2011 · 4 pages; Add detailed discussion of feasibility of the scheme;add refs

arxiv created 2011/01/10 · openalex publication_date 2011/03/08 · arxiv updated 2011/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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 that different orders of braiding operations give orthogonal output states that can be distinguished through Raman spectroscopy. Realization of Majorana 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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