Elementary Charge Transfer Processes in a Superconductor-Ferromagnet Entangler

TL;DR

This paper analyzes how entangled electrons are generated and distributed in a superconductor-ferromagnet setup, detailing the charge transfer processes, their statistical properties, and how they influence measurable electrical signals.

Contribution

It provides a comprehensive theoretical description of elementary charge transfer processes and their impact on transport properties in a superconductor-ferromagnet entangler.

Findings

Probabilities of entangled electrons entering separate leads depend on conductances and polarizations.

Transport of entangled electrons affects currents, noise, and cross correlations.

Complete statistical characterization of charge transfer processes in the system.

Abstract

We study the production of spatially separated entangled electrons in ferromagnetic leads from Cooper pairs in a superconducting lead. We give a complete description of the elementary charge transfer processes, i) transfer of Cooper pairs out of the superconductor by Andreev reflection and ii) distribution of the entangled quasiparticles among the ferromagnetic leads, in terms of their statistics. The probabilities that entangled electrons flow into spatially separated leads are completely determined by experimentally measurable conductances and polarizations. Finally, we investigate how currents, noise and cross correlations are affected by transport of entangled electrons.