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.
@article{arxiv.quant-ph/0306116,
title = {Simultaneous near-field and far field spatial quantum correlations in spontaneous parametric down-conversion},
author = {E. Brambilla and A. Gatti and M. Bache and L. A. Lugiato},
journal= {arXiv preprint arXiv:quant-ph/0306116},
year = {2009}
}