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

Journal Article · Fri Mar 11 00:00:00 EST 2011 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.106.100404· OSTI ID:21562076

Shiliang, Zhu ^[1]; Shao, L -B; Wang, Z D ^[2]; Duan, L -M ^[3]

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1. Laboratory of Quantum Information Technology and SPTE, South China Normal University, Guangzhou (China)
2. Department of Physics and Center of Theoretical and Computational Physics, University of Hong Kong, Pokfulam Road (Hong Kong)
3. Department of Physics and MCTP, University of Michigan, Ann Arbor, Michigan (United States)

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.

• OSTI ID: 21562076
• Journal Information: Physical Review Letters, Vol. 106, Issue 10; Other Information: DOI: 10.1103/PhysRevLett.106.100404; (c) 2011 American Institute of Physics; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COUPLING
FERMIONS
LASERS
PROBES
RAMAN SPECTROSCOPY
S WAVES
SPIN
STATISTICS
SUPERFLUIDITY
ZEEMAN EFFECT
ANGULAR MOMENTUM
LASER SPECTROSCOPY
MATHEMATICS
PARTIAL WAVES
PARTICLE PROPERTIES
SPECTROSCOPY