Violation of Bell's inequalities with parametric down-conversion

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Abstract

We analyze the experiment demonstrating a violation of Bell's inequalities with parametric down-conversion as performed by Alley and Shih, and Ou and Mandel. We obtain analytic results which show a continuous transition between quantum and classical behaviour. In the limit of weak parametric conversion, the results agree with those obtained for an initial correlated photon pair. In the opposite limit of strong parametric conversion, the results coincide with those obtained for classical fields.

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