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Electric circuit model of microwave optomechanics

2020/07/31 by Xin Zhou, D. Cattiaux, Dylan Cattiaux +3 · 12 citations
Engineering · Physics and Astronomy · #Advanced MEMS and NEMS Technologies #Force Microscopy Techniques and Applications #Materials science #Mechanical and Optical Resonators #Microwave #Optoelectronics #Optomechanics #Physics #Quantum mechanics #Resonator #cond-mat.mes-hall #physics.app-ph #quant-ph

paper · pdf · doi:10.1063/5.0039624

published in Journal of Applied Physics 129(11) (American Institute of Physics)

arxiv created 2020/10/27 · openalex publication_date 2021/03/18 · arxiv updated 2021/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We report on the generic classical electric circuit modeling that describes standard single-tone microwave optomechanics. Based on a parallel RLC circuit in which a mechanical oscillator acts as a movable capacitor, derivations of analytical expressions are presented, including key features such as the back-action force, the input–output expressions, and the spectral densities associated, all in the classical regime. These expressions coincide with the standard quantum treatment performed in optomechanics when the occupation number of both cavity and mechanical oscillator are large. Besides, the derived analytics transposes optical elements and properties into electronics terms, which is mandatory for quantitative measurement and design purposes. Finally, the direct comparison between the standard quantum treatment and the classical model addresses the bounds between quantum and classical regimes, highlighting the features which are truly quantum, and those which are not.

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