Dynamical response and switching of an optically bistable anharmonic oscillator

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Abstract
The dynamical solution of the driven classical anharmonic (AH) oscillator is obtained through a region of optical bistability. The dynamical solution is observed to switch from the lowest to highest steady-state (SS) root near a SS turning point with evidence of critical slowing down. The solution of a widely used multiple-photon version of the AH model is also obtained and is found to give qualitatively similar behavior. The average number of photons observed dramatically increases in the bistable region and exhibits damped oscillations.