Noise of Entangled Electrons: Bunching and Antibunching

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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Revised version v2. 4 pages, 1 figure. To appear in PRB Rapid Communications

Scientific paper

10.1103/PhysRevB.61.R16303

Addressing the feasibility of quantum communication with entangled electrons in an interacting many-body environment, we propose an interference experiment using a scattering set-up with an entangler and a beam splitter. It is shown that, due to electron-electron interaction, the fidelity of the entangled singlet and triplet states is reduced by z_F^2 in a conductor described by Fermi liquid theory. We calculate the quasiparticle weight factor z_F for a two-dimensional electron system. The current noise for electronic singlet states turns out to be enhanced (bunching behavior), while it is reduced for triplet states (antibunching). Within standard scattering theory, we find that the Fano factor (noise-to-current ratio) for singlets is twice as large as for independent classical particles and is reduced to zero for triplets.

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