Photon-photon polaritons in chi(2) microresonators

• URL: http://arxiv.org/abs/2102.08977v2
• Date: Tue, 30 Mar 2021 01:03:05 GMT
• Title: Photon-photon polaritons in chi(2) microresonators
• Authors: D.V. Skryabin, V.V. Pankratov, A. Villois, D.N. Puzyrev
• Abstract summary: We consider a high-Q microresonator with $chi(2)$ nonlinearity under conditions when the coupling rates between the sidebands around the pump exceed the damping rates. Using the dressed-resonator approach we demonstrate that this regime leads to the dominance of the Hermitian part of the operator driving the side-band dynamics.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: We consider a high-Q microresonator with $\chi^{(2)}$ nonlinearity under conditions when the coupling rates between the sidebands around the pump and second harmonic exceed the damping rates, implying the strong coupling regime (SC). Using the dressed-resonator approach we demonstrate that this regime leads to the dominance of the Hermitian part of the operator driving the side-band dynamics over its non-Hermitian part responsible for the parametric gain. This has allowed us to introduce and apply the cross-area concept of the polariton quasi-particles and define their effective masses in the context of $\chi^{(2)}$ ring-microresonators. We further use polaritons to predict the modified spectral response of the resonator to a weak probe field, and to reveal splitting of the bare-resonator resonances, avoided crossings, and Rabi dynamics. Polariton basis also allows deriving a discrete sequence of the parametric thresholds for the generation of sidebands of different orders.

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