Testable signatures of quantum non-locality in a two-dimensional chiral p-wave superconductor

Abstract

A class of topological excitations -- the odd-winding-number vortices -- in a spinless 2D chiral p-wave $(p_x+i{p}_y)$ superconductor trap Majorana fermion states in the vortex cores. For a dilute gas of such vortices, the lowest energy \textit{fermionic} eigenstates are intrinsically non-local. We predict two testable signatures of this unusual quantum non-locality in quasiparticle tunneling experiments. We discuss why the associated teleportation-like phenomenon does not imply the violation of causality.

arXiv comment4 pages, 2 eps figures, typos corrected, new section added on possible experiments in atomic superfluids; version accepted for publication in PRL

References in corpus (21)

• 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
• High Resolution Polar Kerr Effect Measurements of Sr2RuO4: Evidence for Broken Time Reversal Symmetry in the Superconducting State
• $2n$ Quasihole States Realize $2^{n-1}$-Dimensional Spinor Braiding Statistics in Paired Quantum Hall States
• Tuning p-wave interactions in an ultracold Fermi gas of atoms
• Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
• Proposal to stabilize and detect half-quantum vortices in strontium ruthenate thin films: Non-Abelian braiding statistics of vortex matter in a $p_x+i{p}_y$ superconductor
• Quantum Computation Using Vortices and Majorana Zero Modes of a $p_x$ + $i{p}_y$ Superfluid of Fermionic Cold Atoms
• Quantum phase transitions across p-wave Feshbach resonance
• Multiplet Structure of Feshbach Resonances in non-zero partial waves
• Geometric phases and quantum entanglement as building blocks for nonabelian quasiparticle statistics
• Probing the excitation spectrum of a Fermi gas in the BCS-BEC crossover regime
• Fusion rules and vortices in $p_x+i{p}_y$ superconductors
• Anisotropic Fermi Superfluid via p-wave Feshbach Resonance
• Laser probing of atomic Cooper pairs
• Zero modes of two-dimensional chiral p-wave superconductors
• An Index Theorem for the Majorana Zero Modes in Chiral P-Wave Superconductors
• Quantum Phase Transition in the BCS-to-BEC Evolution of p-wave Fermi Gases
• Phase-sensitive tests of the pairing state symmetry in Sr2RuO4
• Laser probing of Cooper-paired trapped atoms

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