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

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

2003-10-17

arxiv.org/abs/cond-mat/0310421v1

Phys. Rev. Lett 92, 246803 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

10.1103/PhysRevLett.92.246803

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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