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Published May 20, 2018 | Published + Supplemental Material
Journal Article Open

Quantum nonlinear light emission in metamaterials: broadband Purcell enhancement of parametric downconversion


Single-photon and correlated two-photon sources are important elements for optical information systems. Nonlinear downconversion light sources are robust and stable emitters of single photons and entangled photon pairs. However, the rate of downconverted light emission, dictated by the properties of low-symmetry nonlinear crystals, is typically very small, leading to significant constraints in device design and integration. In this Letter, we study principles of spontaneous emission control (i.e., the Purcell effect) generalized to describe the enhancement of nonlinear generation of quantum light through spontaneous parametric downconversion. We develop a theoretical framework based on eigenmode analysis to study quantum nonlinear emission in a general anisotropic, dispersive, and lossy media. Our theory provides an unprecedented insight into the emission process. We find that spontaneous parametric downconversion in a media with hyperbolic dispersion is broadband and phase-mismatch-free. We further predict a significant enhancement of the downconverted emission rate in experimentally realistic nanostructures. Our theoretical formalism and approach to Purcell enhancement of nonlinear optical processes provides a framework for description of quantum nonlinear optical phenomena in complex nanophotonic structures.

Additional Information

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement. Received 22 November 2017; revised 15 February 2018; accepted 13 April 2018 (Doc. ID 314042); published 14 May 2018. Funding: Air Force Office of Scientific Research (AFOSR) (FA9550-16-1-0019).

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Published - optica-5-5-608.pdf

Supplemental Material - 3287019.pdf


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