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Nanoscale photonic crystal cavity optomechanical devices enable detection ofnanomechanical phenomena with a sensitivity sufficient to observe quantumeffects. Here we present the design of a one-dimensional air-mode photoniccrystal cavity patterned in a silicon nitride nanobeam, and show that it formsthe basis for cavity optomechanical split-beam and paddle nanocavity devicesuseful for force detection and nonlinear quantum sensing. The air-mode of thisdevice is advantageous for optomechanical coupling, while also having ultrahighoptical quality factor $Q_o\sim 10^6$ despite its proximity to the light-lineand the relatively low refractive index of silicon nitride. Paddle nanocavitiesrealized from this device have a quadratic coupling coefficient$g^{(2)}/2\pi$~=~10~MHz/nm$^{2}$, and their performance within the context ofquantum optomechanics experiments is analyzed.

Air mode silicon nitride photonic crystals and their application to nonlinear quantum optomechanical sensing