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International Conference on Quantum Comunication and Quantum Networking

QuantumComm 2009: Quantum Communication and Quantum Networking pp 1–16Cite as

Tailoring the Spatio-temporal Bandwidth of Biphotons via the Non-factorable Structure of Entanglement

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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.

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Authors and Affiliations

  1. CNR-INFM and CNISM, Dipartimento di Fisica e Matematica, Università dell’Insubria, Via Valleggio 11, Como, Italy

    L. Caspani, E. Brambilla, L. A. Lugiato & A. Gatti

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  1. L. Caspani
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  2. E. Brambilla
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  3. L. A. Lugiato
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  4. A. Gatti
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Editors and Affiliations

  1. Department of Electrical & Computer Engineering and Department of Physics, Boston University, 8 Saint Mary’ s Street, 02215-2421, Boston, MA, USA

    Alexander Sergienko

  2. Dipartimento di Fisica, Unversity di Bari, 70126, Bari, Italy

    Saverio Pascazio

  3. Department of Information Engineering, CNR-INFM LUXOR Laboratory for Ultravilolet and X-Ray Optical Search, University of Padova, via Gradenico 6, 35131, Padova, Italy

    Paolo Villoresi

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© 2010 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering

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Caspani, L., Brambilla, E., Lugiato, L.A., Gatti, A. (2010). Tailoring the Spatio-temporal Bandwidth of Biphotons via the Non-factorable Structure of Entanglement. In: Sergienko, A., Pascazio, S., Villoresi, P. (eds) Quantum Communication and Quantum Networking. QuantumComm 2009. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 36. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11731-2_1

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  • DOI: https://doi.org/10.1007/978-3-642-11731-2_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-11730-5

  • Online ISBN: 978-3-642-11731-2

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