Properties of entangled photon pairs generated in one-dimensional nonlinear photonic-band-gap structures

Abstract

We have developed a rigorous quantum model of spontaneous parametric down-conversion in a nonlinear 1D photonic-band-gap structure based upon expansion of the field into monochromatic plane waves. The model provides a two-photon amplitude of a created photon pair. The spectra of the signal and idler fields, their intensity profiles in the time domain, as well as the coincidence-count interference pattern in a Hong-Ou-Mandel interferometer are determined both for cw and pulsed pumping regimes in terms of the two-photon amplitude. A broad range of parameters characterizing the emitted down-converted fields can be used. As an example, a structure composed of 49 layers of GaN/AlN is analyzed as a suitable source of photon pairs having high efficiency.

14 pages, 23 figures

Cited by in corpus (4)

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• Quantum properties of counter-propagating two-photon states generated in a planar waveguide
• Antisymmetric entangled two-photon states generated in nonlinear GaN/AlN photonic-band-gap structures
• Parametric downconversion with optimized spectral properties in nonlinear photonic crystals