Photon-photon polaritons in chi(2) microresonators

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.

7 pages

References in corpus (15)

• The Quantum Internet
• Strong coupling between surface plasmon polaritons and emitters
• Observation of Superfluidity of Polaritons in Semiconductor Microcavities
• Monolithic Ultrahigh-Q Lithium Niobate Microring Resonator
• Integrated micro-comb sources for quantum optical applications
• What is- and what is not- Electromagnetically-Induced-Transparency in Whispering-Gallery-Microcavities
• Geometrical Representation of Sum Frequency Generation and Adiabatic Frequency Conversion
• Highly tunable low-threshold optical parametric oscillation in radially poled whispering gallery resonators
• Ultrafast control of Rabi oscillations in a polariton condensate
• The Excitation Ladder of Cavity Polaritons
• A self-starting bi-chromatic LiNbO3 soliton microcomb
• Kerr-Nonlinearity-Induced Mode-Splitting in Optical Microresonators
• Threshold of complexity and Arnold tongues in Kerr ring microresonators
• Coupled-mode theory for microresonators with quadratic nonlinearity
• Finesse and four-wave mixing in microresonators