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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 4 — Feb. 14, 2011
  • pp: 3115–3123

Generation of paired photons in a quantum separable state in Bragg reflection waveguides

Jiří Svozilík, Martin Hendrych, Amr S. Helmy, and Juan P. Torres  »View Author Affiliations


Optics Express, Vol. 19, Issue 4, pp. 3115-3123 (2011)
http://dx.doi.org/10.1364/OE.19.003115


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Abstract

This work proposes and analyses a novel approach for the generation of separable (quantum uncorrelated) photon pairs based on spontaneous parametric down-conversion in Bragg reflection waveguides composed of semiconductor AlGaN layers. This platform allows the removal of any spectral correlation between paired photons that propagate in different spatial modes. The photons can be designed to show equal or different spectra by tuning the structural parameters and hence the dispersion of the waveguide.

© 2011 Optical Society of America

OCIS Codes
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(270.0270) Quantum optics : Quantum optics

ToC Category:
Nonlinear Optics

History
Original Manuscript: November 17, 2010
Revised Manuscript: January 19, 2011
Manuscript Accepted: January 26, 2011
Published: February 2, 2011

Citation
Jirí Svozilík, Martin Hendrych, Amr S. Helmy, and Juan P. Torres, "Generation of paired photons in a quantum separable state in Bragg reflection waveguides," Opt. Express 19, 3115-3123 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-4-3115


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  19. Notice that here Ep(ωs + ωi) refers to the spectral amplitude of the pump beam at the input face of the waveguide, while the operators as(ω0s + Ωs) and ai(ω0i + Ωi) refer to the quantum state at the output face of the waveguide. Under these conditions (see [8]), the exponential factor contained in the biphoton amplitude is of the form exp(iskL/2). Different definitions of Ep and as and ai lead to slightly different expressions for the exponential factor of the biphoton amplitude. This is the case, for instance, in [6], where Ep refers to the spectral amplitude of the pump beam at the output face of the nonlinear crystal, while the same definition of the quantum operators as and ai is used. Now the exponential factor contained in the biphoton amplitude is of the form exp(−iΔkL/2). Indeed, when Ep and the quantum operators are referred to the center of the nonlinear crystal, there is no exponential factor at all [see S. P. Walborn, A. N. de Oliveira, S. Padua, and C. H. Monken, "Multimode Hong-Ou-Mandel interference," Phys. Rev. Lett. 90, 143601 (2003)]. Of course, all of these expressions are related and should yield the same result when calculating correlation functions, since the electric field operators should also be correspondingly modified in each case. [CrossRef] [PubMed]
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