X-entanglement of PDC photon pairs

L. Caspani; E. Brambilla; O. Jedrkiewicz; L. A. Lugiato; A. Gatti

doi:10.1117/12.820561

18 May 2009 X-entanglement of PDC photon pairs

L. Caspani, E. Brambilla, O. Jedrkiewicz, L. A. Lugiato, A. Gatti

Proceedings Volume 7355, Photon Counting Applications, Quantum Optics, and Quantum Information Transfer and Processing II; 735509 (2009) https://doi.org/10.1117/12.820561
Event: SPIE Optics + Optoelectronics, 2009, Prague, Czech Republic

Abstract

We investigate the spatio-temporal structure of the biphoton entanglement in Parametric Down Conversion (PDC). In particular we study the biphoton amplitude at the output face of the nonlinear crystal (near-field) and we demonstrate its X-shaped geometry in the space-time dimensions, i.e. the non-factorability of the state with respect to spatial and temporal variables. Our analysis provides a precise and quantitative characterization of this structure in various regimes and types of phase matching of PDC. The key elements of novelty emerging from our analysis are the non-factorability of the state with respect to spatial and temporal variables, and the extreme relative localization of the entangled photons, both in space (few microns) and time (few femtoseconds). This extreme localization is connected to our ability to resolve the photon positions in the source near-field. The non factorability opens the possibility of tailoring the temporal entanglement by acting on the spatial degrees of freedom of twin photons.

Citation Download Citation

L. Caspani, E. Brambilla, O. Jedrkiewicz, L. A. Lugiato, and A. Gatti "X-entanglement of PDC photon pairs", Proc. SPIE 7355, Photon Counting Applications, Quantum Optics, and Quantum Information Transfer and Processing II, 735509 (18 May 2009); https://doi.org/10.1117/12.820561

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