Production and detection of entangled electron-hole pairs in a degenerate electron gas

Details Production and detection of entangled electron-hole pairs in a degenerate electron gas Production and detection of entangled electron-hole pairs in a degenerate electron gas

2003-05-06

arxiv.org/abs/cond-mat/0305110v3

Phys.Rev.Lett. 91, 147901 (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages including 1 figure; three comments have been added to the reference list, addressing the entanglement of formation, th

Scientific paper

10.1103/PhysRevLett.91.147901

We demonstrate theoretically that the shot noise produced by a tunnel barrier in a two-channel conductor violates a Bell inequality. The non-locality is shown to originate from entangled electron-hole pairs created by tunneling events -- without requiring electron-electron interactions. The degree of entanglement (concurrence) equals 2(T_1 T_2)^1/2 (T_1+T_2)^-1, with T_1,T_2 << 1 the transmission eigenvalues. A pair of edge channels in the quantum Hall effect is proposed as experimental realization.

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