Fluctuation-enhanced frequency mixing in a nonlinear micromechanical oscillator

Abstract

We study noise-enhanced frequency mixing in an underdamped micromechanical torsional oscillator. The oscillator is electrostatically driven into bistability by a strong, periodic voltage at frequency $ω_d$. A second, weak ac voltage is applied at a frequency $ω$ close to $ω_d$. Due to nonlinearity in the system, vibrations occur at both $ω$ and $2ω_d-ω$. White noise is injected into the excitation, allowing the system to occasionally overcome the activation barrier and switch between the two states. At the primary drive frequency where the occupations of the two states are approximately equal, we observe noise-induced enhancement of the oscillation amplitudes at both $ω$ and the down-converted frequency $2ω_d-ω$, in agreement with theoretical predictions. Such enhancement occurs as a result of the noise-induced interstate transitions becoming synchronous with the beating between the two driving frequencies.