Propagation of transverse intensity correlations of a two-photon state

Details Propagation of transverse intensity correlations of a two-photon state Propagation of transverse intensity correlations of a two-photon state

2009-02-10

arxiv.org/abs/0902.1660v1

Phys. Rev. A 79, 033801 (2009)

Physics

Quantum Physics

9 pages, 7 figures, to appear PRA

Scientific paper

10.1103/PhysRevA.79.033801

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 $\alpha$ and $\beta$ 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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