Coulomb scattering in a 2D interacting electron gas and production of EPR pairs

TL;DR

This paper proposes a method to generate non-local spin-EPR pairs in a 2D electron gas through Coulomb scattering, using theoretical calculations to estimate the entangled electron current and its experimental feasibility.

Contribution

It introduces a novel setup for producing spin-entangled pairs via Coulomb scattering in 2D electron gases, with detailed theoretical analysis and practical current estimates.

Findings

Constructive two-particle interference enables EPR pair production.

Fermi sea causes significant renormalization of scattering.

Estimated entangled electron current is experimentally accessible.

Abstract

We propose a setup to generate non-local spin-EPR pairs via pair collisions in a 2D interacting electron gas, based on constructive two-particle interference in the spin singlet channel at the pi/2 scattering angle. We calculate the scattering amplitude via the Bethe-Salpeter equation in the ladder approximation and small r_s limit, and find that the Fermi sea leads to a substantial renormalization of the bare scattering process. From the scattering length we estimate the current of spin-entangled electrons and show that it is within experimental reach.