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Nonlinear damping, the change in damping rate with the amplitude of oscillations plays an important role in many electrical, mechanical and even biological oscillators. In novel technologies such as carbon nanotubes, graphene membranes or…

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…

We theoretically analyse the dynamics of a suspended graphene membrane which is in tunnel contact with grounded metallic electrodes and subjected to ac-electrostatic potential induced by a gate electrode. It is shown that for such system…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Axel M. Eriksson , Marina V. Voinova , Leonid Y. Gorelik

Graphene is an attractive material for nanomechanical devices because it allows for exceptional properties, such as high frequencies and quality factors, and low mass. An outstanding challenge, however, has been to obtain large coupling…

Mesoscale and Nanoscale Physics · Physics 2014-04-28 P. Weber , J. Güttinger , I. Tsioutsios , D. E. Chang , A. Bachtold

We have observed nonlinear transduction of the thermomechanical motion of a nanomechanical resonator when detected as laser transmission through a sideband unresolved optomechanical cavity. Nonlinear detection mechanisms are of considerable…

Mesoscale and Nanoscale Physics · Physics 2014-12-25 C. Doolin , B. D. Hauer , P. H. Kim , A. J. R. MacDonald , H. Ramp , J. P. Davis

We determine the small signal gain and noise response of an amplifier based on the nonlinear response of a quantum nanomechanical resonator. The resonator is biased in the nonlinear regime by a strong harmonic bias force and we determine…

Quantum Physics · Physics 2009-11-13 E. Babourina-Brooks , A. Doherty , G. J. Milburn

We address quantitatively the relationship between the nonlinearity of a mechanical resonator and the nonclassicality of its ground state. In particular, we analyze the nonclassical properties of the nonlinear Duffing oscillator (being…

Quantum Physics · Physics 2015-10-27 Berihu Teklu , Alessandro Ferraro , Mauro Paternostro , Matteo G. A. Paris

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

Cavity optomechanics has served as a platform for studying the interaction between light and micromechanical motion via radiation pressure. Here we observe such phenomena with a graphene mechanical resonator coupled to an electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 X. Song , M. Oksanen , J. Li , P. J. Hakonen , M. A. Sillanpaa

Mechanical resonators based on low-dimensional materials are promising for force and mass sensing experiments. The force sensitivity in these ultra-light resonators is often limited by the imprecision in the measurement of the vibrations,…

Mesoscale and Nanoscale Physics · Physics 2016-09-22 Peter Weber , Johannes Güttinger , Adrien Noury , Jorge Vergara-Cruz , Adrian Bachtold

We study the backaction of a driven nonlinear resonator on a multi-level superconducting qubit. Using unitary transformations on the multi-level Jaynes-Cummings Hamiltonian and quantum optics master equation, we derive an analytical model…

Quantum Physics · Physics 2012-02-09 Maxime Boissonneault , A. C. Doherty , F. R. Ong , P. Bertet , D. Vion , D. Esteve , A. Blais

Dynamical backaction has proven to be a versatile tool in cavity optomechanics, allowing for precise manipulation of a mechanical resonator's motion using confined optical photons. In this work, we present measurements of a silicon…

Mesoscale and Nanoscale Physics · Physics 2019-05-07 B. D. Hauer , T. J. Clark , P. H. Kim , C. Doolin , J. P. Davis

We report a non-contact method for conductivity and sheet resistance measurements of graphene samples using a high Q microwave dielectric resonator perturbation technique, with the aim of fast and accurate measurement of microwave…

Materials Science · Physics 2015-06-15 L Hao , J Gallop , S Goniszewski , A Gregory , O Shaforost , N Klein , R Yakimova

We perform classical molecular dynamics simulations to investigate the enhancement of the mass sensitivity and resonant frequency of graphene nanomechanical resonators that is achieved by driving them into the nonlinear oscillation regime.…

Mesoscale and Nanoscale Physics · Physics 2012-11-05 Jin-Wu Jiang , Harold S. Park , Timon Rabczuk

We investigate the nonlinear optical features of a graphene sheet embedded in an active cavity and we show that, when tuned near its lasing threshold, the cavity is able to isolate the spatially localized graphene nonlinearity thus…

Optics · Physics 2015-05-27 Alessandro Ciattoni , Carlo Rizza

We experimentally and theoretically investigate mechanical nanooscillators coupled to the light in an optical ring resonator made of dielectric mirrors. We identify an optomechanical damping mechanism that is fundamentally different to the…

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…

The optical nonlinear effects can provide different advanced electromagnetic functionalities, such as wave mixing and phase conjugation, which can be applied in a variety of new applications. However, these effects usually suffer from…

Optics · Physics 2020-06-29 Boyuan Jin , Christos Argyropoulos

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 apply the well-established theoretical method developed for geometrical nonlinearities of micro/nano-mechanical clamped beams to circular drums. The calculation is performed under the same hypotheses, the extra difficulty being to…

Mesoscale and Nanoscale Physics · Physics 2020-09-25 D. Cattiaux , S. Kumar , X. Zhou , A. Fefferman , E. Collin