Theoretical analysis of mechanical displacement measurement using a multiple cavity mode transducer

Abstract

We present an optomechanical displacement transducer, that relies on three cavity modes parametrically coupled to a mechanical oscillator and whose frequency spacing matches the mechanical resonance frequency. The additional resonances allow to reach the standard quantum limit at substantially lower input power (compared to the case of only one resonance), as both, sensitivity and quantum backaction are enhanced. Furthermore, it is shown that in the case of multiple cavity modes, coupling between the modes is induced via reservoir interaction, e.g., enabling quantum backaction noise cancellation. Experimental implementation of the schemes is discussed in both the optical and microwave domain.

5 pages, 3 figures. Revised and amended version

References in corpus (9)

• Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
• Theory of ground state cooling of a mechanical oscillator using dynamical back-action
• Resolved Sideband Cooling of a Micromechanical Oscillator
• Near-field cavity optomechanics with nanomechanical oscillators
• Strong coupling between single-electron tunneling and nano-mechanical motion
• Parametric Normal-Mode Splitting in Cavity Optomechanics
• Quantum Noise Interference and Back-action Cooling in Cavity Nanomechanics
• Cavity-Assisted Back Action Cooling of Mechanical Resonators
• Probing optomechanical correlations between two optical beams down to the quantum level

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