Manipulation of Cooper Pair Entanglement in Hybrid Topological Josephson Junctions

Abstract

The non-local manipulation of spin-entangled states by means of local gating in two parallel 2D topological insulators properly connected to two superconducting electrodes is studied. We calculate analytically the current-phase relationship of the Josephson current making use of the scattering matrix approach and we identify the various local and non-local scattering mechanisms. We show that the Josephson critical current, remarkably, allows a direct quantification of the entanglement manipulation.

Keywords

• electronic transport in mesoscopic systems
• entanglement production and manipulation
• andreev reflection
• hybrid topological Josephson junctions