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A solvable model of noise effects on globally coupled limit cycle oscillators is proposed. The oscillators are under the influence of independent and additive white Gaussian noise. The averaged motion equation of the system with infinitely…

Chaotic Dynamics · Physics 2019-09-20 Keiji Okumura , Akihisa Ichiki

With a variety of realisations, optomechanics utilizes its light matter interaction to test fundamental physics. By coupling the phonons of a mechanical resonator to the photons in a high quality cavity, control of increasingly macroscopic…

Quantum Physics · Physics 2025-11-25 L. F. Deeg , D. Zoepfl , N. Diaz-Naufal , M. L. Juan , A. Metelmann , G. Kirchmair

We explore theoretically the bistable behavior of intracavity photon number in a two-mode cavity optomechanical system, where two cavity modes are coupled to a common mechanical resonator. When the two cavity modes are driven by two pump…

Quantum Physics · Physics 2015-06-16 Cheng Jiang , Hongxiang Liu , Yuanshun Cui , Xiaowei Li , Guibin Chen , Xuemin Shuai

We show that a cavity optomechanical system formed by a mechanical resonator simultaneously coupled to two modes of an optical cavity can be used for the implementation of a deterministic quantum phase gate between optical qubits associated…

Quantum Physics · Physics 2015-03-19 Muhammad Asjad , Paolo Tombesi , David Vitali

We study self-excited oscillations (SEO) in an on-fiber optomechanical cavity. Synchronization is observed when the optical power that is injected into the cavity is periodically modulated. A theoretical analysis based on the Fokker-Planck…

Optics · Physics 2015-03-18 Keren Shlomi , D. Yuvaraj , Ilya Baskin , Oren Suchoi , Roni Winik , Eyal Buks

Multimode cavity optomechanics, where multiple mechanical degrees of freedom couple to optical cavity modes, provides a rich platform for exploring nonlinear dynamics and engineering complex interactions. In this work, we investigate the…

We investigate second-order nonlinear processes in a system of two coupled identical optical micro-resonators. The double resonance and phase-matching conditions are simultaneously obtained thanks to the frequency splitting induced by the…

Optics · Physics 2025-10-03 Yannick Dumeige , Yoan Léger

A photonic analog of the Josephson effect is analyzed for a system formed by a partly transparent mechanical membrane dividing an optical cavity into two halves. Photons tunneling between the two sub-cavities constitute the coherent…

Quantum Physics · Physics 2011-08-18 Jonas Larson , Mats Horsdal

We investigate the phenomenon of chaos synchronization in systems subject to coexisting autonomous and external global fields by employing a simple model of coupled maps. Two states of chaos synchronization are found: (i) complete…

Chaotic Dynamics · Physics 2022-01-19 O. Alvarez-Llamoza , M. G. Cosenza

Cavity optomechanics enables active manipulation of mechanical resonators through backaction cooling and amplification. This ability to control mechanical motion with retarded optical forces has recently spurred a race towards realizing a…

Optics · Physics 2015-05-30 Mahmood Bagheri , Menno Poot , Mo Li , Wolfram P. H. Pernice , Hong X. Tang

We consider synchronization of chaotic systems coupled indirectly through a common environmnet where the environment has an intrinsic dynmics of its own modulated via feedback from the systems. We find that a rich vareity of synchronization…

Chaotic Dynamics · Physics 2010-05-05 V. Resmi , G. Ambika , R. E. Amritkar

Optomechanical systems driven by an effective blue detuned laser can exhibit self-sustained oscillations of the mechanical oscillator. These self-oscillations are a prerequisite for the observation of synchronization. Here, we study the…

Quantum Physics · Physics 2017-05-26 Ehud Amitai , Niels Lörch , Andreas Nunnenkamp , Stefan Walter , Christoph Bruder

Experimental exploration of synchronization in scalable oscillator micro systems has unfolded a deeper understanding of networks, collective phenomena, and signal processing. Cavity optomechanical devices have played an important role in…

We derive rigorous conditions for the synchronization of all-optically coupled lasers. In particular, we elucidate the role of the optical coupling phases for synchronizability by systematically discussing all possible network motifs…

Chaotic Dynamics · Physics 2012-03-30 Valentin Flunkert , Eckehard Schöll

Coupling of chaotic oscillators has evidenced conditions where synchronization is possible, therefore a nonlinear system can be driven to a particular state through input from a similar oscillator. Here we expand this concept of control of…

Adaptation and Self-Organizing Systems · Physics 2020-08-18 Robson Vieira , Weliton S. Martins , Sergio Barreiro , Rafael A. de Oliveira , Martine Chevrollier , Marcos Oriá

We study the phenomenon of synchronization in pairs of doubly clamped, mechanically coupled silicon micro-oscillators. A continuous-wave laser beam is used to drive the micro-beams into limit cycle oscillations and to detect the…

Pattern Formation and Solitons · Physics 2022-12-27 Aditya Bhaskar , Mark Walth , Richard H. Rand , Alan T. Zehnder

We experimentally demonstrate and numerically simulate a new adaptive method to maintain synchronization between coupled nonlinear chaotic oscillators, when the coupling between the systems is unknown and time-varying (e.g., due to…

Introducing a controlled and strong anharmonicity in mechanical systems is a present challenge of nanomechanics. In cavity optomechanics a mechanical oscillator may be made anharmonic by ponderomotively coupling its motion to the light…

Quantum Physics · Physics 2025-07-16 Jonathan L. Wise , Clement Dutreix , Fabio Pistolesi

Cavity optomechanical systems have become a popular playground for studies of controllable nonlinear interactions between light and motion. Owing to the large speed of light, realizing cavity optomechanics in the microwave frequency range…

Mesoscale and Nanoscale Physics · Physics 2024-03-05 Kalle S. U. Kansanen , Camillo Tassi , Harshad Mishra , Mika A. Sillanpää , Tero T. Heikkilä

The synchronization of chaotic lasers and the optical phase synchronization of light originating in multiple coupled lasers have both been extensively studied, however, the interplay between these two phenomena, especially at the network…

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