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

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 o...

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Bibliographic Details
Published in:arXiv.org 2003-05
Main Authors: Beenakker, C W J, Emary, C, Kindermann, M, van Velsen, J L
Format: Article
Language:English
Subjects:
Bell's inequality
Conductors
Eigenvalues
Electron gas
Electrons
Entanglement
Holes (electron deficiencies)
Quantum Hall effect
Quantum theory
Shot noise
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Summary: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
ISSN:2331-8422
DOI:10.48550/arxiv.0305110