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We study the cavity mode frequencies of a Fabry-P\'erot cavity containing two vibrating dielectric membranes. We derive the equations for the mode resonances and provide approximate analytical solutions for them as a function of the…

Quantum Physics · Physics 2016-06-30 J. Li , A. Xuereb , N. Malossi , D. Vitali

We extend the concept of generalized synchronization of chaos, a phenomenon that occurs in driven dynamical systems, to the context of autonomous spatiotemporal systems. It means a situation where the chaotic state variables in an…

Chaotic Dynamics · Physics 2009-11-13 O. Alvarez-Llamoza , M. G. Cosenza

A theoretical scheme for the realization of the sphere-coherent motional states in an optomechanical cavity in the presence of a two-level atom is proposed. To this end, the analogy between an atom-assisted optomechanical cavity and a…

Quantum Physics · Physics 2015-06-22 F. Bemani , R. Roknizadeh , M. H. Naderi

Optical resonators are essential components of lasers and other wavelength-sensitive optical devices. A resonator is characterized by a set of modes, each with a resonant frequency omega and resonance width Delta omega=1/tau, where tau is…

chao-dyn · Physics 2015-06-24 Jens U. Noeckel , A. Douglas Stone

We study theoretically a three-mode optomechanical system where two mechanical oscillators are independently coupled to a single cavity mode. By optimized two-tone or four-tone driving of the cavity one can prepare the mechanical…

Quantum Physics · Physics 2015-06-19 M. J. Woolley , A. A. Clerk

We explore the behaviour of an ensemble of chaotic oscillators coupled only to an external chaotic system, whose intrinsic dynamics may be similar or dissimilar to the group. Counter-intuitively, we find that a dissimilar external system…

Chaotic Dynamics · Physics 2017-01-23 Sudhanshu Shekhar Chaurasia , Sudeshna Sinha

We identify signatures of the intrinsic nonlinear interaction between light and mechanical motion in cavity optomechanical systems. These signatures are observable even when the cavity linewidth exceeds the optomechanical coupling rate. A…

Mesoscale and Nanoscale Physics · Physics 2013-08-12 K. Borkje , A. Nunnenkamp , J. D. Teufel , S. M. Girvin

The generation of large-amplitude coherent states of a massive mechanical resonator, and their quantum-limited detection represent useful tools for quantum sensing and for testing fundamental physics theories. In fact, any weak perturbation…

A tunable optical multistability scheme based on a single cavity mode coupled with two separate atomic transitions in an atom-cavity system is proposed and demonstrated. Under the collective strong coupling condition, multiple polariton…

Quantum Physics · Physics 2024-03-12 Liyong Wang , Yinxue Zhao , Jiajia Du

Effects of synchronization in a system of two coupled oscillators with time-delayed feedback are investigated. Phase space of a system with time delay is infinite-dimensional. Thus, the picture of synchronization in such systems acquires…

Chaotic Dynamics · Physics 2014-05-06 Yulia P. Emelianova , Valeriy V. Emelyanov , Nikita M. Ryskin

Motivated by deep brain stimulation treatment of neural disorders such as Parkinson's disease, it has been proposed that desynchronization of neural oscillators can be achieved by maximizing the Lyapunov exponent of the phase difference…

Optimization and Control · Mathematics 2025-09-25 Jeff Moehlis , Michael Zimet , Faranak Rajabi

Numerical experiments recently discussed in the literature show that identical nonlinear chaotic systems linked by a common noise term (or signal) may synchronize after a finite time. We study the process of synchronization as function of…

chao-dyn · Physics 2009-10-28 L. Longa , E. M. F. Curado , F. A. Oliveira

Entanglement between optical mode and microwave mode is a critical issue in illumination systems. Traditionally, optomechanical systems are applied to couple the optical mode to microcavity modes. However, due to some restrictions of this…

Quantum Physics · Physics 2019-03-06 Ahmad Salmanogli , Dincer Gokcen , H. Selcuk Gecim

Synchronization of fractional-order chaotic systems is a hot topic in the field of nonlinear study. The co-coupled synchronization between two fractional-order chaotic systems with different initial conditions is investigated in this paper.…

Chaotic Dynamics · Physics 2009-09-15 Kehui Sun , Jian Ren , Shuisheng Qiu

We show that two initially weakly coupled chaotic systems can achieve self-organized synchronization by adaptively reducing their speed and/or enhancing the coupling strength. Explicit adaptive algorithms for speed-reduction and…

Statistical Mechanics · Physics 2009-11-07 Xiao Fan Wang

We report a new type of chaos synchronization:inverse anticipating synchronization, where a time delay chaotic system can drive another system in such a way that the driven system anticipates the driver by synchronizing with its inverse…

Chaotic Dynamics · Physics 2009-11-07 E. M. Shahverdiev , S. Sivaprakasam , K. A. Shore

We experimentally demonstrate synchronization between two distinct ensembles of cold atoms undergoing steady state superradiance within a single longitudinal and transverse mode of the same optical cavity. The synchronization process is…

Atomic Physics · Physics 2017-03-15 Joshua M. Weiner , Kevin C. Cox , Justin G. Bohnet , James K. Thompson

Synchronization is a widespread phenomenon observed in physical, biological, and social networks, which persists even under the influence of strong noise. Previous research on oscillators subject to common noise has shown that noise can…

Adaptation and Self-Organizing Systems · Physics 2021-06-02 Zachary G. Nicolaou , Michael Sebek , Istvan Z. Kiss , Adilson E. Motter

We investigate the effect of a degenerate optical parametric amplifier (OPA) placed inside an optomechanical cavity on the steady-state entanglement of two cavity modes, which jointly interact with a mechanical resonator. Two cavity modes…

Quantum Physics · Physics 2017-03-31 Rong-Guo Yang , Ni Li , Jing Zhang , Jie Li , Tian-Cai Zhang

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