Proposal for production and detection of entangled electron-hole pairs in a degenerate electron gas.

  title={Proposal for production and detection of entangled electron-hole pairs in a degenerate electron gas.},
  author={C. W. J. Beenakker and Clive Emary and M. Kindermann and J L van Velsen},
  journal={Physical review letters},
  volume={91 14},
We demonstrate theoretically that the shot noise produced by a tunnel barrier in a two-channel conductor violates a Bell inequality. The nonlocality 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(T1T2)(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 an experimental realization. 

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