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The Duffing oscillator is a nonlinear extension of the ubiquitous harmonic oscillator and as such plays an outstanding role in science and technology. Experimentally, the system parameters are determined by a measurement of its response to…

Applied Physics · Physics 2022-06-01 Marc T. Cuairan , Jan Gieseler , Nadine Meyer , Romain Quidant

We consider the nonlinear Duffing oscillator in presence of fractional damping which is characteristic in different physical situations. The system is studied with a smaller and larger damping parameter value, that we call the underdamped…

Chaotic Dynamics · Physics 2024-03-18 Mattia Coccolo , Jesús M. Seoane , Stefano Lenci , Miguel A. F. Sanjuán

We study the nonlinear coupling between orthogonal flexural modes of doubly clamped InAs nanowire resonators. The two orthogonal modes are formed by the symmetry breaking and lifting of degeneracy of the fundamental mode. The presence of a…

Mesoscale and Nanoscale Physics · Physics 2018-08-06 John P. Mathew , Anand Bhushan , Mandar M. Deshmukh

Directional transport is obtained in various multimode systems by driving multiple, nonreciprocally-interfering interactions between individual bosonic modes. However, systems sustaining the required number of modes become physically…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 Laure Mercier de Lépinay , Caspar F. Ockeloen-Korppi , Daniel Malz , Mika A. Sillanpää

Standard optomechanical cooling methods ideally require weak coupling and cavity damping rates which enable the motional sidebands to be well resolved. If the coupling is too large then sideband-resolved cooling is unstable or the rotating…

Quantum Physics · Physics 2020-11-05 Bijita Sarma , Thomas Busch , Jason Twamley

High frequency stochastic resonance (SR) phenomena, associated with fluctuational transitions between coexisting periodic attractors, have been investigated experimentally in an electronic model of a single-well Duffing oscillator bistable…

The motional sideband asymmetry of a mechanical oscillator interacting with a laser field can be observed when approaching the quantum ground state, where the zero-point energy of the mechanical oscillator becomes a sizable contribution to…

We propose a scheme to enhance quantum entanglement in an optomechanical system by exploiting the so-called Duffing nonlinearity. Our model system consists of two mechanically coupled mechanical resonators, both driven by an optical field.…

We develop a model of bistable oscillator with nonlinear dissipation. Using a numerical simulation and an electronic circuit realization of this system we study its response to additive noise excitations. We show that depending on noise…

Adaptation and Self-Organizing Systems · Physics 2016-05-25 Vladimir V. Semenov , Alexander B. Neiman , Tatyana E. Vadivasova , Vadim S. Anishchenko

The dynamical behavior of a nonlinear micromechanical resonator acting as one of the mirrors in an optical resonance cavity is investigated. The mechanical motion is coupled to the optical power circulating inside the cavity both directly…

Other Condensed Matter · Physics 2015-03-19 S. Zaitsev , O. Gottlieb , E. Buks

Optomechanical coupling between the motion of a mechanical oscillator and a cavity represents a new arena for experimental investigation of quantum effects on the mesoscopic and macroscopic scale.The motional sidebands of the output of a…

Quantum Physics · Physics 2017-10-26 E. B. Aranas , P. G. Z. Fonseca , P. F. Barker , T. S. Monteiro

The ability to prepare a macroscopic mechanical resonator into a quantum superposition state is an outstanding goal of cavity optomechanics. Here, we propose a technique to generate cat states of motion using the intrinsic nonlinearity of a…

Quantum Physics · Physics 2023-06-07 Bradley D Hauer , Joshua Combes , John D. Teufel

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 investigate the collective signal response of two typical nonlinear dynamical models, the mean-field coupled overdamped bistable oscillators and the underdamped Duffing oscillators, with respect to both the additive Ornstein-Uhlenbeck…

Biological Physics · Physics 2025-02-28 Cong Liu , Xin-Ze Song , Zhi-Xi Wu , Guo-Yong Yuan

We study the bifurcations and the chaotic behaviour of a periodically forced double-well Duffing oscillator coupled to a single-well Duffing oscillator. Using the amplitude and the frequency of the driving force as control parameters, we…

Chaotic Dynamics · Physics 2007-05-23 U. E. Vincent , A. Kenfack

Nonlinear dynamics have long been exploited in order to damp vibrations in solid mechanics. The phenomenon of irreversible energy transfer from a linear primary system to a nonlinear absorber has driven great attention to the optimal design…

Phase transitions and the associated symmetry breaking are at the heart of many physical phenomena. Coupled systems with multiple interacting degrees of freedom provide a fertile ground for emergent dynamics that is otherwise inaccessible…

We theoretically explore optical bistability for possible signature of all optical switching and their performance in a hybrid quantum optomechanical system comprising of two semiconductor microcavity coupled optically. One of the cavity is…

Quantum Physics · Physics 2019-12-02 Vijay Bhatt , Sabur A. Barbhuiya , Pradip K. Jha , Aranya B. Bhattacherjee

Multimode optomechanical systems are an emerging platform for studying fundamental aspects of matter near the quantum ground state and are useful in sensitive sensing and measurement applications. We study optomechanical cooling in a system…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 C. F. Ockeloen-Korppi , M. F. Gely , E. Damskägg , M. Jenkins , G. A. Steele , M. A. Sillanpää

Because of their nonlinearity, vibrational modes of resonantly driven nanomechanical systems have coexisting stable states of forced vibrations in a certain range of the amplitude of the driving force. Depending on its phase, which encodes…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Yukihiro Tadokoro , Hiroya Tanaka , M. I. Dykman