Testable signatures of quantum non-locality in a two-dimensional chiral p-wave superconductor
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A class of topological excitations -- the odd-winding-number vortices -- in a spinless 2D chiral p-wave $(p_x+ip_y)$ 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.
4 pages, 2 eps figures, typos corrected, new section added on possible experiments in atomic superfluids; version accepted for publication in PRL
4 pages, 2 eps figures, typos corrected, new section added on possible experiments in atomic superfluids; version accepted for publication in PRL