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

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 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.

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

References in corpus (17)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Quantized Rotation of Atoms From Photons with Orbital Angular Momentum
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Spin-orbit coupled Bose-Einstein condensates
• Quantum Computation Using Vortices and Majorana Zero Modes of a $p_x$ + $i{p}_y$ Superfluid of Fermionic Cold Atoms
• Spin Hall effects for cold atoms in a light induced gauge potential
• p-wave Feshbach molecules
• Determination of the Superfluid Gap in Atomic Fermi Gases by Quasiparticle Spectroscopy
• Measuring the one-particle excitations of ultracold fermionic atoms by stimulated Raman spectroscopy
• Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer
• Spin-orbit coupling and perpendicular Zeeman field for fermionic cold atoms: observation of the intrinsic anomalous Hall effect
• Topological superfluids on a lattice with non-Abelian gauge fields

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