Proposed experiments to probe the non-abelian ν=5/2 quantum Hall state

Abstract

We propose several experiments to test the non-abelian nature of quasi-particles in the fractional quantum Hall state of ν=5/2. One set of experiments studies interference contribution to back-scattering of current, and is a simplified version of an experiment suggested recently. Another set looks at thermodynamic properties of a closed system. Both experiments are only weakly sensitive to disorder-induced distribution of localized quasi-particles.

arXiv commentAdditional references and an improved figure, 5 pages

References in corpus (12)

• Fault-tolerant quantum computation by anyons
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
• Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
• $2n$ Quasihole States Realize $2^{n-1}$-Dimensional Spinor Braiding Statistics in Paired Quantum Hall States
• Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
• A Chern-Simons Effective Field Theory for the Pfaffian Quantum Hall State
• Geometric phases and quantum entanglement as building blocks for nonabelian quasiparticle statistics
• Rotating spin-1 bosons in the lowest Landau level
• Paired fractional quantum Hall states and the nu=5/2 puzzle
• Inequivalent classes of interference experiments with non-abelian anyons

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