Spatial Schmidt modes generated in parametric down-conversion

This paper presents the general spatial Schmidt decomposition of two-photon fields generated in spontaneous parametric down-conversion (SPDC). It discusses in particular the separation of the radial and azimuthal degrees of freedom, the role of projection in modal analysis, and the benefits of colli...

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Bibliographic Details
Published in:The European physical journal. D, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2012-10, Vol.66 (10), Article 263
Main Authors: Miatto, F. M., Di Lorenzo Pires, H., Barnett, S. M., van Exter, M. P.
Format: Article
Language:English
Subjects:
Applications of Nonlinear Dynamics and Chaos Theory
Atomic
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Molecular
Nonlinear optics
Optical and Plasma Physics
Optics
Parametric down conversion and production of entangled photons
Physical Chemistry
Physics
Physics and Astronomy
Quantum Information Technology
Quantum Physics
Regular Article
Spectroscopy/Spectrometry
Spintronics
Topical issue: High Dimensional Quantum Entanglement
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Summary:This paper presents the general spatial Schmidt decomposition of two-photon fields generated in spontaneous parametric down-conversion (SPDC). It discusses in particular the separation of the radial and azimuthal degrees of freedom, the role of projection in modal analysis, and the benefits of collinear phase mismatch. The paper is written in a review style and presents a wealth of numerical results. It aims at emphasising the physics beyond the mathematics, through discussions and graphical representations of key results. The two main conclusions of the paper are the finding of a better law to describe the effective dimensionality of the spatial part of the total Hilbert space and a possible novel feature of the radial Schmidt modes.
ISSN:1434-6060
1434-6079
DOI:10.1140/epjd/e2012-30035-3