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Detecting nonlocal Cooper pair entanglement by optical Bell inequality violation

Simon E. Nigg, Rakesh P. Tiwari, Stefan Walter, Thomas L. Schmidt

DOI 10.1103/PhysRevB.91.094516 · Physical Review B

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Abstract

Based on the Bardeen-Cooper-Schrieffer theory of superconductivity, the coherent splitting of Cooper pairs from a superconductor to two spatially separated quantum dots has been predicted to generate nonlocal pairs of entangled electrons. In order to test this hypothesis, we propose a scheme to transfer the spin state of a split Cooper pair onto the polarization state of a pair of optical photons. We show that the photon pairs produced can be used to violate a Bell inequality, unambiguously demonstrating the entanglement of the split Cooper pairs.

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