Non-Markovian Stochastic Resonance of Light in a Microcavity

Abstract: We report the first observation of non-Markovian stochastic resonance, i.e., noise-assisted amplification of a periodic signal in a system with memory. Our system is an oil-filled optical microcavity which, driven by a continuous wave laser, has memory in its nonlinear optical response. By modulating the cavity length while adding noise to the driving laser, we observe a peak in the transmitted signal-to-noise ratio as a function of the noise variance. Our experimental observations are reproduced by numerical simulations, which further reveal that the stochastic resonance bandwidth is enlarged by the memory time of the nonlinearity. This frequency range available for noise-assisted amplification is $10^8$ times greater in our oil-filled cavity than in a Kerr nonlinear cavity. Our results pave the way for exploring the interplay of nonlinearity, noise, and memory, in oil-filled cavity arrays, where non-Markovian dynamics could enhance noise-assisted transport and synchronization effects.