Disclosing the spatio-temporal structure of PDC entanglement through frequency up-conversion
arXiv:1205.1637 · doi:10.1103/PhysRevA.85.063834
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 Δt and a transverse spatial shift Δx 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.
20 pages, 19 figures
References in corpus (4)
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Cited by in corpus (12)
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- Coherence properties of high-gain twin beams generated in pump-depletion regime
- Bright squeezed vacuum for two-photon spectroscopy: simultaneously high resolution in time and frequency, space and wavevector
- Experimental observation of the X-shaped near field spatio-temporal correlation of ultra-broadband twin beams
- Quantum-enhanced second harmonic generation beyond the photon pairs regime
- Study of broadband multimode light via non-phase-matched sum frequency generation
- Measurement of coupled spatiotemporal coherence of parametric down-conversion under negative group velocity dispersion
- Space-time coupling in the up-conversion of broadband down-converted light
- Spatio-temporal entanglement of twin photons: an intuitive picture
- Efficient parametric generation in a nonlinear photonic crystal pumped by a dual beam
- Engineering multipartite entangled states in doubly pumped parametric down-conversion processes
- 800 nm pumped SPDC from chirped crystals