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arXiv · 1205.1637

Disclosing the spatio-temporal structure of PDC entanglement through frequency up-conversion

Enrico Brambilla·Ottavia Jedrkiewicz·Luigi Lugiato·Alessandra Gatti
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Abstract

In this work we propose and analyse a scheme where the full spatio-temporal correlation of twin photons/beams generated by parametric down-conversion is detected by using its inverse process, i.e. sum frequency generation. Our main result is that, by imposing independently a temporal delay \Delta t and a transverse spatial shift \Delta x between two twin components of PDC light, the up-converted light intensity provides information on the correlation of the PDC light in the full spatio-temporal domain, and should enable the reconstruction of the peculiar X-shaped structure of the correlation predicted in [gatti2009,caspani2010,brambilla2010]. Through both a semi-analytical and a numerical modeling of the proposed optical system, we analyse the feasibility of the experiment and identify the best conditions to implement it. In particular, the tolerance of the phase-sensitive measurement against the presence of dispersive elements, imperfect imaging conditions and possible misalignments of the two crystals is evaluated.

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Enrico Brambilla, Ottavia Jedrkiewicz, Luigi Lugiato, Alessandra Gatti. 2012-05-08. Disclosing the spatio-temporal structure of PDC entanglement through frequency up-conversion. https://doi.org/10.1103/physreva.85.063834

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