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

D. S. Saraga·B. L. Altshuler·Daniel Loss·R. M. Westervelt
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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.

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D. S. Saraga, B. L. Altshuler, Daniel Loss, R. M. Westervelt. 2003-10-17. Coulomb scattering in a 2D interacting electron gas and production of EPR pairs. https://doi.org/10.1103/physrevlett.92.246803

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