Abstract

We reveal a novel regime of photon-pair generation driven by the interplay of multiple bound states in the continuum resonances in nonlinear metasurfaces. This non-degenerate photon-pair generation is derived from the hyperbolic topology of the transverse phase-matching and can enable orders-of-magnitude enhancement of the photon rate and spectral brightness, as compared to the degenerate regime. We show that the entanglement of the photon-pairs can be tuned by varying the pump polarization, which can underpin future advances and applications of ultra-compact quantum light sources.

Highlights

  • Metasurfaces (MSs) offer an ultracompact and versatile platform for enhancing nonlinear optical processes, including harmonic generation and frequency mixing.[1,2] To realize such nonlinear interactions in bulk crystals and waveguides, one requires extended propagation distances, but in MSs a strong enhancement of light–matter interactions can be achieved with subwavelength thicknesses through the excitation of high-quality factor optical resonances

  • We present an analysis of Spontaneous Parametric Down-Conversion (SPDC) with the signal and idler photons being generated at a single Bound State in the Continuum (BIC)

  • We calculated the SPDC generation rate via the quantum-classical correspondence between SPDC and sum frequency generation (SFG),[11,17,32,33] which is exact in the absence of other nonlinear effects

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Summary

Introduction

Metasurfaces (MSs) offer an ultracompact and versatile platform for enhancing nonlinear optical processes, including harmonic generation and frequency mixing.[1,2] To realize such nonlinear interactions in bulk crystals and waveguides, one requires extended propagation distances, but in MSs a strong enhancement of light–matter interactions can be achieved with subwavelength thicknesses through the excitation of high-quality factor optical resonances This can be facilitated by designing Bound State in the Continuum (BIC) resonances,[3,4,5,6,7] which support a high confinement of the optical field within the nonlinear material.[8,9,10]. There is strong interest in new concepts and Advanced Photonics

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