Correlated parity measurements as a probe of nonAbelian statistics in onedimensional superconducting wires
Abstract
We propose a method to detect a signature of nonAbelian statistics in a onedimensional (1D) superconducting wire by tuning the effective coupling between a pair of Majorana particles. Our experiment requires a single wire with two segments in the topological superconducting phase and a total of four Majorana particles. We show that an appropriately timed "pulse" in the coupling between the two middle Majoranas leads to a coherent rotation of the two qubits associated with the pairs of Majoranas in the two topological superconducting segments, in much the same way that an appropriatelength pulse of a transverse magnetic field can be used to rotate spins in nuclear magnetic resonance. This can be exploited both to probe the correlations of the Majoranas and to manipulate the Majorana qubits in these 1D wires. We discuss the experimental requirements for such a coherent rotation to be observable when the wire system is coupled to a fermionic bath.
 Publication:

Physical Review B
 Pub Date:
 June 2014
 DOI:
 10.1103/PhysRevB.89.224510
 arXiv:
 arXiv:1307.0839
 Bibcode:
 2014PhRvB..89v4510B
 Keywords:

 74.45.+c;
 74.78.Na;
 Proximity effects;
 Andreev effect;
 SN and SNS junctions;
 Mesoscopic and nanoscale systems;
 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 Phys. Rev. B 89, 224510 (2014)