Simultaneous near-field and far field spatial quantum correlations in spontaneous parametric down-conversion

Abstract

We study the spatial correlations of quantum fluctuations that can be observed in multi-mode spontaneous parametric down-conversion in the regime of high gain. A stochastic model has been solved numerically to obtain quantitative results beyond the stationary plane-wave pump approximation. The pulsed shape of the pump beam and other features of the system, such as spatial walk-off and diffraction are taken into account. Their effect on the spatial quantum correlations predicted by the plane-wave pump theory is investigated, both for near field and far field measurements, in a type I and in a type II phase-matching configuration.

18 pages, 10 figures

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• Entangled imaging and wave-particle duality: from the microscopic to the macroscopic realm
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