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Oscillation synchronization phenomenon is widely observed in natural systems through frequency modulated signals, especially in biological neural networks. Frequency modulation is also one of most widely used technologies in engineering.…

Optimization and Control · Mathematics 2021-08-17 Zhiyong Chen

We realise a simple and robust optomechanical system with a multitude of long-lived ($Q>10^7$) mechanical modes in a phononic-bandgap shielded membrane resonator. An optical mode of a compact Fabry-Perot resonator detects these modes'…

We study ensembles of globally coupled, nonidentical phase oscillators subject to correlated noise, and we identify several important factors that cause noise and coupling to synchronize or desychronize a system. By introducing noise in…

Adaptation and Self-Organizing Systems · Physics 2013-09-26 Yi Ming Lai , Mason A. Porter

We present a Hamiltonian model describing two pairs of mechanical and optical modes under standard optomechanical interaction. The vibrational modes are mechanically isolated from each other and the optical modes couple evanescently. We…

Synchronization of coupled oscillators is a fundamental phenomenon that has been observed in many natural and engineered systems, ranging from biological cells to electronic circuits. In recent years, spin torque nano-oscillators (STNOs)…

Mesoscale and Nanoscale Physics · Physics 2024-08-22 Fangzhou Ai , Vitaliy Lomakin

The ubiquitous phenomenon of synchronization is inherently characteristic of dynamical dissipative non-linear systems. In particular, synchronization has been theoretically and experimentally demonstrated for exciton-polariton condensates…

Radiation pressure forces in cavity optomechanics allow for efficient cooling of vibrational modes of macroscopic mechanical resonators, the manipulation of their quantum states, as well as generation of optomechanical entanglement. The…

Quantum Physics · Physics 2019-02-07 Ondřej Černotík , Claudiu Genes , Aurélien Dantan

Optical isolation, non-reciprocal phase transmission and topological phases for light based on synthetic gauge fields have been raising significant interest in the recent literature. Cavity-optomechanical systems that involve two optical…

Optics · Physics 2017-06-20 Mohammad-Ali Miri , Freek Ruesink , Ewold Verhagen , Andrea Alù

Some nonlinear radiations such as superfluorescence can be understood as cooperative effects between atoms. We regard the cooperative radiation as a manifested effect secondary to the intrinsic synchronization among the atoms and propose a…

Quantum Physics · Physics 2020-08-13 Tiantian Huan , Ri-gui Zhou , Hou Ian

Quantum noise in a model of singly resonant frequency doubling including phase mismatch and driving in the harmonic mode is analyzed. The general formulae about the fixed points and their stability as well as the squeezing spectra…

Quantum Physics · Physics 2007-05-23 C. Cabrillo , J. L. Roldan , P. Garcia-Fernandez

Synchronization of identical chaotic systems subjected to common noise has been the subject of recent research. Studies on several chaotic systems have shown that, the synchronization is actually induced by the non-zero mean of the noise,…

Chaotic Dynamics · Physics 2009-10-31 C. -H. Lai , Changsong Zhou

The influence of topological defects on phase synchronization and phase coherence in two-dimensional arrays of locally-coupled, nonidentical, chaotic oscillators is investigated. The motion of topological defects leads to a breakdown of…

Statistical Mechanics · Physics 2009-11-07 J. Davidsen , R. Kapral

Cooperative effects of periodic force and noise in globally Cooperative effects of periodic force and noise in globally coupled systems are studied using a nonlinear diffusion equation for the number density. The amplitude of the order…

Chaotic Dynamics · Physics 2009-11-07 Hidetsugu Sakaguchi

Experimental study on noise-induced synchronization of crystal oscillators is presented. Two types of circuits were constructed: one consists of two Pierce oscillators that were isolated from each other and received a common noise input,…

Adaptation and Self-Organizing Systems · Physics 2018-08-31 Kazuyoshi Ishimura , Isao T. Tokuda

We propose a realistic system with separated optical and mechanical degrees of freedom, in which a high-mechanical-quality silicon nitride membrane is placed upon a high-optical-quality whispering gallery microcavity. The strongly enhanced…

Quantum Physics · Physics 2012-06-13 Hao-Kun Li , Yong-Chun Liu , Xu Yi , Chang-Ling Zou , Xue-Xin Ren , Yun-Feng Xiao

We study theoretically optomechanical damping and amplification spectra for vibrations interacting with excitonic polaritons in a zero-dimensional microcavity. We demonstrate, that the spectra strongly depend on the ratio of the…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 Egor S. Vyatkin , Alexander N. Poddubny

We study synchronization and noise-induced resonance phenomena in systems of globally coupled oscillators, each possessing finite inertia. The behavior of the order parameter, which measures collective synchronization of the system, is…

Statistical Mechanics · Physics 2009-10-31 H. Hong , M. Y. Choi

We theoretically investigate a quadratic optomechanical system comprising a single-mode optical cavity linearly coupled to one mechanical resonator and quadratically coupled to a second resonator. By tuning the cavity detuning and…

Quantum Physics · Physics 2026-05-26 Huanhuan Wei , Yun Chen , Jing Tang , Yuangang Deng

Based on the concepts of quantum synchronization and quantum phase synchronization proposed by A. Mari \textit{et al.} in Phys. Rev. Lett. 111, 103605 (2013), we introduce and characterize the measure of a more generalized quantum…

Quantum Physics · Physics 2020-05-13 G. J. Qiao , X. Y. Liu , H. D. Liu , C. F. Sun , X. X. Yi

We propose a novel type of optomechanical coupling which enables a tripartite interaction between a quantum emitter, an optical mode and a macroscopic mechanical oscillator. The interaction uses a mechanism we term mode field coupling:…

Quantum Physics · Physics 2017-04-05 Michele Cotrufo , Andrea Fiore , Ewold Verhagen