Analytical exploration of the optomechanical attractor diagram and of limit cycles

• URL: http://arxiv.org/abs/2505.05352v2
• Date: Fri, 17 Oct 2025 00:41:51 GMT
• Title: Analytical exploration of the optomechanical attractor diagram and of limit cycles
• Abstract summary: We analyse the interplay between mechanical and radiation pressure in an optomechanical cavity system.<n>We employ a Fokker-Planck formalism originally developed in the context of laser theory and then used in cavity optomechanics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We analyse the interplay between mechanical and radiation pressure in an optomechanical cavity system. Our study is based on an analytical evaluation of the infinite Bessel summations involved, which previously had led to a numerical exploration of the so-called attractor diagram. The analytical expressions are then suitable for further asymptotic analysis in opposing regimes of the amplitude, which allows for a characterisation of the diagram in terms of elementary functions. Building on this framework, we investigate the emergence and properties of optomechanical limit cycles beyond the constraints of the resolved sideband approximation. By employing a Fokker-Planck formalism originally developed in the context of laser theory and then used in cavity optomechanics, we describe the quantum regime of these limit cycles, offering a more detailed and unified analytical perspective.

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