In this work we turn our attention to the genuine quantum properties of PDC, and we demonstrate the hyperbolic geometry underlying the spatio-temporal structure of the PDC entanglement and its non-factorability with respect to space and time. As for the X-waves encountered in nonlinear optics, the X-shape of the bi-photon correlation is imposed by the phase-matching mechanism governing the PDC process, and following this analogy we coined the name of X-entanglement.
X-entanglement of PDC photon pairs
BRAMBILLA, ENRICO;Caspani L.;JEDRKIEWICZ, OTTAVIA;LUGIATO, LUIGI
2009-01-01
Abstract
In this work we turn our attention to the genuine quantum properties of PDC, and we demonstrate the hyperbolic geometry underlying the spatio-temporal structure of the PDC entanglement and its non-factorability with respect to space and time. As for the X-waves encountered in nonlinear optics, the X-shape of the bi-photon correlation is imposed by the phase-matching mechanism governing the PDC process, and following this analogy we coined the name of X-entanglement.
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