Spatial Schmidt modes generated in parametric down-conversion

  • F. M. Miatto
  • H. Di Lorenzo Pires
  • S. M. Barnett
  • M. P. van Exter
Regular Article
Part of the following topical collections:
  1. Topical issue: High Dimensional Quantum Entanglement


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.


Topical issue: High Dimensional Quantum Entanglement. Guest editors: Sonja Franke-Arnold, Alessandra Gatti and Nicolas Treps 


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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • F. M. Miatto
    • 1
  • H. Di Lorenzo Pires
    • 2
  • S. M. Barnett
    • 1
  • M. P. van Exter
    • 2
  1. 1.SUPA and Department of PhysicsUniversity of StrathclydeGlasgowScotland, UK
  2. 2.Huygens LaboratoryLeiden UniversityLeidenThe Netherlands

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