Full characterization of the quantum spiral bandwidth of entangled biphotons

Miatto, F.M., Yao, A.M. and Barnett, S.M. (2011) Full characterization of the quantum spiral bandwidth of entangled biphotons. Physical Review A: Atomic, Molecular and Optical Physics, 83(3), Art. 033816. (doi:10.1103/PhysRevA.83.033816)

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Abstract

Spontaneous parametric down-conversion has been shown to be a reliable source of entangled photons. Among the wide range of properties shown to be entangled, it is the orbital angular momentum that is the focus of our study. We investigate, in particular, the bi-photon state generated using a Gaussian pump beam. We derive an expression for the simultaneous correlations in the orbital angular momentum, ℓ, and radial momentum, p, of the down-converted Laguerre-Gaussian beams. Our result allows us, for example, to calculate the spiral bandwidth with no restriction on the geometry of the beams: ℓ, p, and the beam widths are all free parameters. Moreover, we show that, with the usual paraxial and collinear approximations, a fully analytic expression for the correlations can be derived.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Barnett, Professor Stephen and Yao, Dr Alison
Authors: Miatto, F.M., Yao, A.M., and Barnett, S.M.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Physical Review A: Atomic, Molecular and Optical Physics
Publisher:American Physical Society
ISSN:1050-2947
ISSN (Online):1094-1622

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