Split-sideband spectroscopy in slowly modulated optomechanics

Abstract

Optomechanical coupling between the motion of a mechanical oscillator and a cavity represents a new arena for experimental investigation of quantum effects on the mesoscopic and macroscopic scale.The motional sidebands of the output of a cavity offer ultra-sensitive probes of the dynamics. We introduce a scheme whereby these sidebands split asymmetrically and show how they may be used as experimental diagnostics and signatures of quantum noise limited dynamics. We show split-sidebands with controllable asymmetry occur by simultaneously modulating the light-mechanical coupling $g$ and ${\omega }_M$ - slowly and out of-phase. Such modulations are generic but already occur in optically trapped set-ups where the equilibrium point of the oscillator is varied cyclically. We analyse recently observed, but overlooked, experimental split-sideband asymmetries; although not yet in the quantum regime, the data suggests that split sideband structures are easily accessible to future experiments.

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• Optimal estimation with quantum optomechanical systems in the nonlinear regime
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• Optimal estimation of time-dependent gravitational fields with quantum optomechanical systems
• Quadratic optomechanical cooling of a cavity-levitated nanosphere
• Enhanced continuous generation of non-Gaussianity through optomechanical modulation
• Floquet dynamics in quantum measurement of mechanical motion
• Constraining modified gravity with quantum optomechanics
• Imaging correlations in heterodyne-detected spectra for quantum sensing
• Quantum noise spectra for periodically-driven cavity optomechanics
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• Enhanced Gravitational Entanglement via Modulated Optomechanics
• Cooling in a parametrically driven optomechanical cavity
• Stochastic Langevin propagation for classical and quantum optomechanics