Work

Analytical exploration of the optomechanical attractor diagram and of limit cycles

Year: 2025

Type: article

Abstract: We analyze 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 characterization 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.

Source: Physical Review A

DOI: 10.1103/jbqp-3s26

Authors: Jorge G. Russo, Miguel Tierz

Institutions: Institució Catalana de Recerca i Estudis Avançats, Universitat de Barcelona, Universidad Complutense de Madrid, Shanghai Institute for Mathematics and Interdisciplinary Sciences

Language: English

Topic: Mechanical and Optical Resonators

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Ministerio de Ciencia, Innovación y Universidades, Generalitat de Catalunya, Universidad Complutense de Madrid, Ministerio de Ciencia e Innovación

Awards: G8294730614, G974723767