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

TL;DR

This paper predicts observable signatures of quantum non-locality in a 2D chiral p-wave superconductor, involving Majorana fermions in vortex cores, which could be tested via quasiparticle tunneling experiments.

Contribution

It introduces testable signatures of quantum non-locality related to Majorana states in vortices of a chiral p-wave superconductor, highlighting their non-local eigenstates.

Findings

Two testable signatures of quantum non-locality predicted

Non-local fermionic eigenstates in vortex cores identified

Discussion on causality preservation in teleportation-like phenomena

Abstract

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.