Optomechanics driven by noisy and narrowband fields

TL;DR

This paper explores how narrow-band and noisy electromagnetic fields influence cavity optomechanical systems, revealing noise-induced self-oscillation and shifts in threshold behavior, with implications for dynamical amplification.

Contribution

It demonstrates the effects of narrow-band and noisy drives on optomechanical interactions, including noise-induced self-oscillation and threshold shifts, extending understanding beyond coherent driving.

Findings

Noise-induced anti-damping leads to self-oscillation at comparable power to coherent drives.

Reducing noise bandwidth causes a large shift in the self-oscillation threshold.

Deviations from simple models occur when using narrow-band or structured drives.

Abstract

We report a study of a cavity optomechanical system driven by narrow-band electromagnetic fields, which are applied either in the form of uncorrelated noise, or as a more structured spectrum. The bandwidth of the driving spectra is smaller than the mechanical resonant frequency, and thus we can describe the resulting physics using concepts familiar from regular cavity optomechanics in the resolved-sideband limit. With a blue-detuned noise driving, the noise-induced interaction leads to anti-damping of the mechanical oscillator, and a self-oscillation threshold at an average noise power that is comparable to that of a coherent driving tone. This process can be seen as noise-induced dynamical amplification of mechanical motion. However, when the noise bandwidth is reduced down to the order of the mechanical damping, we discover a large shift of the power threshold of self-oscillation. This is due to the oscillator adiabatically following the instantaneous noise profile. In addition to blue-detuned noise driving, we investigate narrow-band driving consisting of two coherent drive tones nearby in frequency. Also in these cases, we observe deviations from a naive optomechanical description relying only on the tones' frequencies and powers.