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Electric circuit model of microwave optomechanics

Xin Zhou 1, 2 Dylan Cattiaux 3 Didier Theron 1, 2 Eddy Collin 3
2 NAM6 - IEMN - Nano and Microsystems - IEMN
IEMN - Institut d’Électronique, de Microélectronique et de Nanotechnologie (IEMN) - UMR 8520
3 UBT - Ultra-basses températures
NEEL - Institut Néel
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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Contributor : Xin Zhou <>
Submitted on : Tuesday, December 15, 2020 - 2:11:20 PM
Last modification on : Friday, April 16, 2021 - 4:51:06 PM


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Xin Zhou, Dylan Cattiaux, Didier Theron, Eddy Collin. Electric circuit model of microwave optomechanics. Journal of Applied Physics, American Institute of Physics, 2021, 129 (11), pp.114502. ⟨10.1063/5.0039624⟩. ⟨hal-03066796⟩



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