Violation of Bell's Inequality with Transverse Spatial Variables Using Fractional Fourier Transforms
This paper has been withdrawn due to a crucial theoretical and experimental error.
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arXiv subjects
P. Pellat-Finet
Publications and source records attributed to P. Pellat-Finet.
Violation of Bell's Inequality with Continuous Variables and Fractional Fourier Transforms
This paper has been withdrawn due to a crucial theoretical error.
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Propagation of transverse intensity correlations of a two-photon state
The propagation of transverse spatial correlations of photon pairs through arbitrary first-order linear optical systems is studied experimentally and theoretically using the fractional Fourier transform. Highly-correlated photon pairs in an EPR-like state are produced by spontaneous parametric down-conversion and subject to optical fractional Fourier transform systems. It is shown that the joint detection probability can display either correlation, anti-correlation, or no correlation, depending on the sum of the orders $α$ and $β$ of the transforms of the down-converted photons. We present analytical results for the propagation of the perfectly correlated EPR state, and numerical results for the propagation of the two-photon state produced from parametric down-conversion. We find good agreement between theory and experiment.
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