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

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...

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Bibliographic Details
Published in:arXiv.org 2003-10
Main Authors: Saraga, D S, Altshuler, B L, Loss, Daniel, Westervelt, R M
Format: Article
Language:English
Subjects:
Bethe-Salpeter equation
Electron gas
Electron spin
Particle spin
Scattering amplitude
Scattering angle
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0310421