Full characterization of the quantum spiral bandwidth of entangled biphotons

Filippo M. Miatto, Alison M. Yao, Stephen M. Barnett

Research output: Contribution to journalArticle

59 Citations (Scopus)

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.

LanguageEnglish
Article number033816
Number of pages9
JournalPhysical Review A
Volume83
Issue number3
DOIs
Publication statusPublished - 15 Mar 2011

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bandwidth
angular momentum
orbitals
photons
constrictions
pumps
momentum
geometry
approximation

Keywords

  • orbital angular-momentum
  • light
  • photons
  • states

Cite this

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title = "Full characterization of the quantum spiral bandwidth of entangled biphotons",
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.",
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Full characterization of the quantum spiral bandwidth of entangled biphotons. / Miatto, Filippo M.; Yao, Alison M.; Barnett, Stephen M.

In: Physical Review A, Vol. 83, No. 3, 033816 , 15.03.2011.

Research output: Contribution to journalArticle

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T1 - Full characterization of the quantum spiral bandwidth of entangled biphotons

AU - Miatto, Filippo M.

AU - Yao, Alison M.

AU - Barnett, Stephen M.

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Y1 - 2011/3/15

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AB - 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.

KW - orbital angular-momentum

KW - light

KW - photons

KW - states

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