Spin Resolved Scattering and Spin-Orbital Entanglement in Mesoscopic Conductors

TL;DR

This paper explores spin-resolved scattering in mesoscopic conductors, proposing methods to generate and detect spin-orbital entanglement, and analyzing quantum interference effects on current and noise.

Contribution

It introduces a novel approach to generate and detect spin-orbital entanglement and discusses Bell's inequality violation detection in mesoscopic systems.

Findings

All forms of entanglement between electronic degrees of freedom can be generated.

A method to detect Bell's inequality violation via current cross-correlators.

Derived expressions for shot noise in spin and charge currents.

Abstract

In this article, we have discussed about the scattering of charge and spin in spin-resolved mesoscopic systems. We have proposed a method to generate and detect the entanglement of electronic spin and electronic orbital degrees of freedom. It is observed that in a spin-resolved mesoscopic system, all form of entanglement existing between different electronic degrees of freedom can be generated. A method to detect Bell's inequality violation in terms of zero frequency current cross-correlators has been mentioned. Further, we have also studied the effect of quantum interference between spin flip and non-spin flip scattering matrices in determining the current and noise. We have obtained the expression for shot noise of spin and charge current when an arbitrarily polarised charge current is scattered at the spin resolved potential.