Orbital entanglement and violation of Bell inequalities in mesoscopic conductors

TL;DR

This paper presents a spin-independent method to generate and detect orbital entanglement in mesoscopic normal-superconductor systems, demonstrating Bell inequality violations despite strong dephasing effects.

Contribution

It introduces a novel scheme for creating and measuring orbital entanglement in mesoscopic conductors using current cross-correlators, resilient to dephasing.

Findings

Bell inequality can be violated under strong dephasing

Orbital entanglement generated by injecting electron pairs

Detection via zero-frequency current cross-correlators

Abstract

We propose a spin-independent scheme to generate and detect two-particle entanglement in a mesoscopic normal-superconductor system. A superconductor, weakly coupled to the normal conductor, generates an orbitally entangled state by injecting pairs of electrons into different leads of the normal conductor. The entanglement is detected via violation of a Bell inequality, formulated in terms of zero-frequency current cross-correlators. It is shown that the Bell inequality can be violated for arbitrary strong dephasing in the normal conductor.