Detection of weak forces based on noise-activated switching in bistable optomechanical systems

Abstract

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.

arXiv comment8 pages, 4 figures

References in corpus (24)

• Laser cooling of a nanomechanical oscillator into its quantum ground state
• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• Introduction to Quantum Noise, Measurement and Amplification
• The photon blockade effect in optomechanical systems
• Single-photon Optomechanics
• Nanomechanical motion measured with precision beyond the standard quantum limit
• Near-field cavity optomechanics with nanomechanical oscillators
• Resolved-sideband cooling and measurement of a micromechanical oscillator close to the quantum limit
• Strong Optomechanical Squeezing of Light
• Observation of Radiation Pressure Shot Noise on a Macroscopic Object
• Measurement of the quantum zero-point motion of a nanomechanical resonator
• Optimized optomechanical crystal cavity with acoustic radiation shield
• Single-shot qubit readout in circuit Quantum Electrodynamics
• Single-shot qubit readout in circuit Quantum Electrodynamics
• Optomechanical sideband cooling of a micromechanical oscillator close to the quantum ground state
• Optically Measuring Force near the Standard Quantum Limit
• Equivalence between an optomechanical system and a Kerr medium
• Optically detecting the quantization of collective atomic motion
• RF bifurcation of a Josephson junction: microwave embedding circuit requirements
• Critical exponents in metastable decay via quantum activation
• The Quantum state diffusion model and the driven damped nonlinear oscillator
• Remnants of semiclassical bistability in the few-photon regime of cavity QED
• Scaling in activated escape of underdamped systems
• Quantum fluctuations in modulated nonlinear oscillators

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