Nonlinear generation of quantum-entangled photons from high-Q states in dielectric nanoparticles

Abstract

We develop multipolar theory of nonlinear generation of entangled photons from subwavelength dielectric particles due to the spontaneous parametric downconversion. We demonstrate that optical excitation in resonance with the high-quality supercavity mode of the aluminum gallium arsenide (AlGaAs) nanodisk leads to a strong enhancement of generation of entangled photon pairs associated with electric and magnetic dipole modes. Our rigorous numerical results are corroborated by an analytical model, universally describing formation of high-$Q$ resonant states and dark states due to the interference and interplay of the parent multipoles, namely, magnetic dipoles and magnetic octupole. Our findings and description can be instructive for quantum and nonlinear nanophotonics applications.

References in corpus (4)

• High-Q supercavity modes in subwavelength dielectric resonators
• Giant nonlinear response at the nanoscale driven by bound states in the continuum
• Integrated high quality factor lithium niobate microdisk resonators
• Multipolar second-harmonic generation by Mie-resonant dielectric nanoparticles

Cited by in corpus (10)

• Optical anapoles in nanophotonics and meta-optics
• Enhanced generation of non-degenerate photon-pairs in nonlinear metasurfaces
• Inelastic scattering of photon pairs in qubit arrays with subradiant states
• Multipolar second-harmonic generation from high-$Q$ quasi-BIC states in nanoresonators
• Second-harmonic generation in Mie-resonant dielectric nanoparticles made of noncentrosymmetric materials
• Nonlinear Nanoresonators for Bell State Generation
• Directional emission of down-converted photons from a dielectric nano-resonator
• Meta-optics and bound states in the continuum
• Spontaneous Parametric Down-Conversion from Subwavelength Nonlinear Films
• Spontaneous Parametric Down-Conversion from Resonant Metasurfaces