2014/09/29 by Samuel Aldana, Christoph Bruder, Andreas Nunnenkamp · 1 citation
Engineering · Physics and Astronomy · #Bistability #Classical mechanics #Control theory (sociology) #Coupling (piping) #Engineering #Force Microscopy Techniques and Applications #Function (biology) #Harmonic #Harmonic oscillator #Homodyne detection #Master equation #Mechanical and Optical Resonators #Noise (video) #Nonlinear optics #Nonlinear system #Optical bistability #Optics #Optomechanics #Physics #Quantum mechanics #Resonator #SIGNAL (programming language) #Stochastic resonance #cond-mat.mes-hall #quant-ph #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreva.90.063810
published as Phys. Rev. A 90, 063810 (2014) · 8 pages, 4 figures
arxiv created 2014/09/29 · openalex publication_date 2014/12/09 · arxiv updated 2014/12/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We propose to use cavity optomechanical systems in the regime of optical bistability for the detection of weak harmonic forces. Due to the optomechanical coupling an external force on the mechanical oscillator modulates the resonance frequency of the cavity and consequently the switching rates between the two bistable branches. A large difference in the cavity output fields then leads to a strongly amplified homodyne signal. We determine the switching rates as a function of the cavity detuning from extensive numerical simulations of the stochastic master equation as appropriate for continuous homodyne detection. We develop a two-state rate equation model that quantitatively describes the slow switching dynamics. This model is solved analytically in the presence of a weak harmonic force to obtain approximate expressions for the power gain and signal-to-noise ratio that we then compare to force detection with an optomechanical system in the linear regime.