Third-Order Spontaneous Parametric Down Conversion in Dielectric Nonlinear Resonant Metasurfaces

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Main Authors: Bacaoco, Miguel Y., Koshelev, Kirill, Solntsev, Alexander S.
Format: Preprint
Published: 2025
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author Bacaoco, Miguel Y.
Koshelev, Kirill
Solntsev, Alexander S.
author_facet Bacaoco, Miguel Y.
Koshelev, Kirill
Solntsev, Alexander S.
contents We propose a general scheme to investigate photon triplet generation (PTG) via third-order spontaneous parametric downconversion (TOSPDC) in $χ^{(3)}$ nonlinear structures. Our approach leverages the quantum-classical correspondence between TOSPDC and its reverse classical process, three-wave sum-frequency generation (TSFG), to efficiently estimate the PTG rate. We apply this framework to nonlinear metasurfaces supporting quasi-bound states in the continuum (qBICs) in the optical range. From numerical analysis of non-collinear TSFG with degenerate input waves at qBIC wavelengths, we predict wavelength-tunable three-photon emission with spatio-angular correlations. These findings establish a novel method for modelling TOSPDC and also highlight the potential of nonlinear resonant metasurfaces as compact free-space photon triplet sources with quantum state control.
format Preprint
id arxiv_https___arxiv_org_abs_2504_02267
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Third-Order Spontaneous Parametric Down Conversion in Dielectric Nonlinear Resonant Metasurfaces
Bacaoco, Miguel Y.
Koshelev, Kirill
Solntsev, Alexander S.
Optics
We propose a general scheme to investigate photon triplet generation (PTG) via third-order spontaneous parametric downconversion (TOSPDC) in $χ^{(3)}$ nonlinear structures. Our approach leverages the quantum-classical correspondence between TOSPDC and its reverse classical process, three-wave sum-frequency generation (TSFG), to efficiently estimate the PTG rate. We apply this framework to nonlinear metasurfaces supporting quasi-bound states in the continuum (qBICs) in the optical range. From numerical analysis of non-collinear TSFG with degenerate input waves at qBIC wavelengths, we predict wavelength-tunable three-photon emission with spatio-angular correlations. These findings establish a novel method for modelling TOSPDC and also highlight the potential of nonlinear resonant metasurfaces as compact free-space photon triplet sources with quantum state control.
title Third-Order Spontaneous Parametric Down Conversion in Dielectric Nonlinear Resonant Metasurfaces
topic Optics
url https://arxiv.org/abs/2504.02267