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

C. W. J. Beenakker·C. Emary·M. Kindermann·J. L. van Velsen
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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(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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C. W. J. Beenakker, C. Emary, M. Kindermann, J. L. van Velsen. 2003-05-23. Production and detection of entangled electron-hole pairs in a degenerate electron gas. https://doi.org/10.1103/physrevlett.91.147901

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