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The energy transfer between different subsystems or different vibration modes is always one of the most interested problems in the study of the resonance phenomena in coupled nonlinear dynamical systems. With an optomechanical system…

Optics · Physics 2023-06-12 Qing Lin , Yi Wu , Gang Li , Bing He

We consider a standard optomechanical system where a mechanical oscillator is coupled to a cavity mode through the radiation pressure interaction. The oscillator is coherently driven at its resonance frequency, whereas the cavity mode is…

Mesoscale and Nanoscale Physics · Physics 2019-03-01 Kjetil Borkje

The response of nonlinear resonators to multifrequency driving reveals rich dynamics beyond conventional single-tone theory. We study a Duffing resonator under bichromatic excitation and identify a competition between the two drives,…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Soumya S. Kumar , Javier del Pino , Letizia Catalini , Alexander Eichler , Oded Zilberberg

The oscillatory response of nonlinear systems exhibits characteristic phenomena such as multistability, discontinuous jumps and hysteresis. These can be utilized in applications leading, e.g., to precise frequency measurement, mixing,…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Quirin P. Unterreithmeier , Thomas Faust , Jorg P. Kotthaus

We theoretically propose and experimentally demonstrate optically tunable nonlinear mechanical damping in a cavity optomechanical system utilizing a partly resolved sideband regime. Optomechanical coupling provides a delayed nonlinear…

Mesoscale and Nanoscale Physics · Physics 2026-02-09 Hideki Arahari , Motoki Asano , Hiroshi Yamaguchi , Hajime Okamoto

We study the noisy dynamics of two coupled bistable modes of a nanomechanical beam. When de-coupled, each driven mode obeys the Duffing equation of motion, with a well-defined bistable region in the frequency domain. When both modes are…

Mesoscale and Nanoscale Physics · Physics 2025-09-01 David Allemeier , İsmet İnönü Kaya , M. Selim Hanay , Kamil L. Ekinci

A scheme is presented to optimize the optomechanical cooling of mechanical resonator in instability regime. Based on the stability analysis, we uncovered a distinct bistable effect of photons and phonons, which can be used to realize a…

Quantum Physics · Physics 2017-11-01 Wen-Zhao Zhang , Wen-Lin Li , Jiong Cheng , Qingxia Mu

A theoretical and experimental investigation is presented on the intermodal coupling between the flexural vibration modes of a single clamped-clamped beam. Nonlinear coupling allows an arbitrary flexural mode to be used as a self-detector…

Mesoscale and Nanoscale Physics · Physics 2010-09-14 H. J. R. Westra , M. Poot , H. S. J. van der Zant , W. J. Venstra

The dynamical backaction from a periodically driven optical or microwave cavity can reduce the damping of a mechanical resonator, leading to parametric instability accompanied by self-sustained oscillations. Fundamentally, the driving…

Mesoscale and Nanoscale Physics · Physics 2017-01-10 F. Sun , X. Dong , J. Zou , M. I. Dykman , H. B. Chan

We present results from a study of the nonlinear intermodal coupling between different flexural vibrational modes of a single high-stress, doubly-clamped silicon nitride nanomechanical beam. The measurements were carried out at 100 mK and…

Mesoscale and Nanoscale Physics · Physics 2013-02-20 K. J. Lulla , R. B. Cousins , A. Venkatesan , M. J. Patton , A. D. Armour , C. J. Mellor , J. R. Owers-Bradley

We address two aspects of the dynamics of the forced Duffing oscillator which are relevant to the technology of micromechanical devices and, at the same time, have intrinsic significance to the field of nonlinear oscillating systems. First,…

Classical Physics · Physics 2015-04-16 Sebastián I. Arroyo , Damián H. Zanette

The coherent transduction of information between microwave and optical domains is a fundamental building block for future quantum networks. A promising way to bridge these widely different frequencies is using high-frequency nanomechanical…

We show that optomechanical quantum systems can undergo dissipative phase transitions within the limit of small nonlinear interaction and strong external drive. In such a defined thermodynamical limit, the nonlinear interaction stabilizes…

Quantum Physics · Physics 2023-05-17 Fatemeh Bibak , Uroš Delić , Markus Aspelmeyer , Borivoje Dakić

In this work, we experimentally investigate the dynamics of pairs of opto-thermally driven, mechanically coupled, doubly clamped, silicon micromechanical oscillators, and numerically investigate the dynamics of the corresponding…

Pattern Formation and Solitons · Physics 2022-05-04 Aditya Bhaskar , Mark Walth , Richard H. Rand , Alan T. Zehnder

Nonlinearity is a key resource in both classical and quantum signal processing. Nonlinear nanomechanical elements have found applications ranging from sensing to computing, while networks of nonlinear resonators, as well as nonlinearly…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Jesse J. Slim , Ewold Verhagen

Nonlinear elastic effects play an important role in the dynamics of microelectromechanical systems (MEMS). Duffing oscillator is widely used as an archetypical model of mechanical resonators with nonlinear elastic behavior. In contrast,…

Other Condensed Matter · Physics 2009-11-12 S. Zaitsev , O. Shtempluck , E. Buks , O. Gottlieb

Optomechanics experiments are rapidly approaching the regime where the radiation pressure of a single photon displaces the mechanical oscillator by more than its zero-point uncertainty. We show that in this limit the power spectrum has…

Mesoscale and Nanoscale Physics · Physics 2011-08-04 A. Nunnenkamp , K. Borkje , S. M. Girvin

Optomechanics concerns with the coupling between optical cavities and mechanical resonators. Most early works are concentrated in the physics of optomechanics in the small-displacement regime and consider one single optical cavity mode…

Quantum Physics · Physics 2015-06-22 Ming Gao , Fuchuan Lei , Chuanguang Du , Gui Lu Long

Despite recent progress in nonlinear optics in wavelength-scale resonators, there are still open questions on the possibility of parametric oscillation in such resonators. We present a general approach to predict the behavior and estimate…

Optics · Physics 2021-02-22 Saman Jahani , Arkadev Roy , Alireza Marandi

We demonstrate a nonlinear metamaterial in microwave frequency regime with hysteresis effect and bistable states, which can be utilized as a remotely controllable micro second switching device. A varactor loaded split-ring resonator (SRR)…

Applied Physics · Physics 2017-05-23 Sinhara R Silva , Alexander D Shields , Jiangfeng Zhou
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