Production and detection of entangled electron-hole pairs in a degenerate electron gas
Abstract
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(T1 T2)1/2 (T1+T2)-1, with T1,T2 << 1 the transmission eigenvalues. A pair of edge channels in the quantum Hall effect is proposed as experimental realization.
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