2008
DOI: 10.1088/1367-2630/10/9/093011
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Conditional preparation of single photons using parametric downconversion: a recipe for purity

Abstract: In an experiment reported recently [Phys. Rev. Lett., 100, 133601, (2008)], we demonstrated that, through group velocity matched parametric downconversion, heralded single photons can be generated in pure quantum states without spectral filtering. The technique relies on factorable photon pair production, initially developed theoretically in the strict collinear regime; focusingrequired in any experimental implementation -can ruin this factorability. Here we present the numerical model used to design our singl… Show more

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Cited by 130 publications
(162 citation statements)
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“…(8) and (9) are symmetric with respect to the indices r and s, similar constraints apply upon performing the substitution r ↔ s in Eqs. (10) and (11). The Green-function formalism is convenient for describing photon statistics in optical processes such as homodyne detection, frequency conversion, and parametric amplification [36].…”
Section: Theorymentioning
confidence: 99%
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“…(8) and (9) are symmetric with respect to the indices r and s, similar constraints apply upon performing the substitution r ↔ s in Eqs. (10) and (11). The Green-function formalism is convenient for describing photon statistics in optical processes such as homodyne detection, frequency conversion, and parametric amplification [36].…”
Section: Theorymentioning
confidence: 99%
“…To this end, instead of neglecting the Heaviside functions as in Eq. (B1), we approximate their product by an effective Gaussian [10,17,26]. For the shifted time variables defined below Eq.…”
Section: Appendix B: Analytic Schmidt Decomposition Of Gaussian Kernelmentioning
confidence: 99%
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“…Fig. 1 shows the degree of separability, or purity (analogous to the one defined in [20]), of the two photon joint angular correlation function, as a function of the pump waist. We can see that the larger the pump waist (the lower x p ), the lower the purity and consequently the higher the correlation in wavevectors of signal and idler.…”
Section: Pump Focusingmentioning
confidence: 99%