Abstract
The spectral purity of an electromechanical resonance (quality factor Q) can be enhanced by more than one order of magnitude to ∼2.5×106 by parametrically exciting the fundamental mode via double frequency modulations to the spring constant mediated by the piezoelectric effect. We theoretically demonstrate that this Q enhancement is an intrinsic property of the parametric resonator by solving the equation of motion for this system. The Q enhancement demonstrated here results in smaller perturbations in the resonance (∼0.05Hz) becoming visible which enables the charge sensitivity of the electromechanical oscillator to improve by a factor equal to the Q enhancement.
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