Effect of spatial filtering on the Schmidt decomposition of entangled photons

Journal Article · Sat Jul 15 00:00:00 EDT 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.74.012309· OSTI ID:20852879

Exter, M P. van; Aiello, A; Oemrawsingh, S S. R.; Nienhuis, G; Woerdman, J P ^[1]

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1. Huygens Laboratory, Leiden University, P. O. Box 9504, 2300 RA Leiden (Netherlands)

A simple analytic decomposition of the spatially entangled two-photon field allows us to generalize the earlier results of Law and Eberly [Phys. Rev. Lett. 92, 127903 (2004)] to more realistic experimental geometries of spontaneous parametric down-conversion. We quantify analytically how spatial filtering reduces the Schmidt number or dimensionality of the two-photon entanglement from a 'generated' value to a generally much lower 'usable or detected' value, for both collinear and noncollinear phase matching. We also discuss the intimate relation between the (two-photon) Schmidt number and the classical (one-photon) concept of etendue or geometric extent.

• OSTI ID: 20852879
• Journal Information: Physical Review. A, Vol. 74, Issue 1; Other Information: DOI: 10.1103/PhysRevA.74.012309; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CONVERSION
GEOMETRY
OPTICS
PHOTONS
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS