Noise-induced temporal regularity and signal amplification in an optomechanical system with parametric instability

Abstract

Noise usually has an unwelcome influence on system performance. For instance, noise inevitably affects the low-frequency mechanical freedom in optomechanical experiments. However, we investigate here the beneficial effects of thermal noise on a basic optomechanical system with parametric instability. In a regime near parametric instability, it is found that thermal noise in the mechanical freedom can sustain long-term quasi-coherent oscillations when the system would otherwise remain in the equilibrium state. In an overlapping regime of parametric instability and bistability, intermittent switching between a self-sustained oscillating state and an equilibrium can be induced by adding a certain amount of noise. When a subthreshold periodic signal is applied to the mechanics, the switching between the self-sustained oscillations and the equilibrium exhibits good periodicity at a rate that is synchronized to the signal frequency, resulting in a significant amplification of the signal. Our results deepen the understanding of the interplay between optomechanical nonlinearity and noise and provide theoretical guidance for experimental observation of noise-induced beneficial phenomena in optomechanics.

arXiv comment9 pages, 4 figures

References in corpus (13)

• Cavity Optomechanics
• Dynamical multistability in high-finesse micromechanical optical cavities
• Coherent Signal Amplification in Bistable Nanomechanical Oscillators by Stochastic Resonance
• Self-induced oscillations in an optomechanical system
• Route to chaos in optomechanics
• Optomechanics with Cavity Polaritons: Dissipative Coupling and Unconventional Bistability
• Equivalence between an optomechanical system and a Kerr medium
• Signal amplification in a nanomechanical Duffing resonator via stochastic resonance
• Stochastic resonance in a tristable optomechanical system
• Detection of weak forces based on noise-activated switching in bistable optomechanical systems
• Observation of opto-mechanical multistability in a high Q torsion balance oscillator
• Intermittency in an Optomechanical Cavity Near a Subcritical Hopf Bifurcation
• Detection of small single-cycle signals by stochastic resonance using a bistable superconducting quantum interference device

Cited by in corpus (3)

• Quantum Coherence Resonance
• Quantum pure noise-induced transitions: A truly nonclassical limit cycle sensitive to number parity
• Quantization of nonlinear non-Hamiltonian systems