Entanglement Controlled Single-Electron Transmittivity

TL;DR

This paper studies how entanglement between magnetic impurities in a 1D wire can drastically alter electron transmittivity, enabling perfect transparency or strong inhibition depending on the impurity spin state.

Contribution

It introduces a novel analysis of electron transmittivity modulated by impurity spin entanglement, revealing controllable quantum interference effects.

Findings

Maximally entangled impurity states can make the wire fully transparent.

Other entangled states can strongly inhibit electron transmittivity.

The effects are observable with current experimental technology.

Abstract

We consider a system consisting of single electrons moving along a 1D wire in the presence of two magnetic impurities. Such system shows strong analogies with a Fabry - Perot interferometer in which the impurities play the role of two mirrors with a quantum degree of freedom: the spin. We have analysed the electron transmittivity of the wire in the presence of entanglement between the impurity spins. The main result of our analysis is that, for suitable values of the electron momentum, there are two maximally entangled state of the impurity spins the first of which makes the wire transparent whatever the electron spin state while the other strongly inhibits the electron transmittivity. Such predicted striking effect is experimentally observable with present day technology.