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Related papers: Nonlinearity and nonclassicality in a nanomechanic…

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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

An open question in mechanics is whether mechanical resonators can be made nonlinear with vibrations approaching the quantum ground state. This requires engineering a mechanical nonlinearity far beyond what has been realized thus far. Here…

Nonclassicality is a key ingredient for quantum enhanced technologies and experiments involving macro- scopic quantum coherence. Considering various exactly-solvable quantum-oscillator systems, we address the role played by the…

Quantum Physics · Physics 2016-03-23 F. Albarelli , A. Ferraro , M. Paternostro , M. G. A. Paris

Time-decaying perturbations of nonlinear oscillatory systems in the plane are considered. It is assumed that the unperturbed systems are non-isochronous and the perturbations oscillate with an asymptotically constant frequency. Resonance…

Dynamical Systems · Mathematics 2023-10-10 Oskar A. Sultanov

We investigate the impact of nonlinear damping on the dynamics of a nanomechanical doubly clamped beam. The beam is driven into nonlinear regime and the response is measured by a displacement detector. For data analysis we introduce a…

Other Condensed Matter · Physics 2009-09-29 Stav Zaitsev , Ronen Almog , Oleg Shtempluck , Eyal Buks

We seek the first indications that a nanoelectromechanical system (NEMS) is entering the quantum domain as its mass and temperature are decreased. We find them by studying the transition from classical to quantum behavior of a driven…

Mesoscale and Nanoscale Physics · Physics 2009-04-21 Itamar Katz , Alex Retzker , Raphael Straub , Ron Lifshitz

Even a relatively weak drive force is enough to push a typical nanomechanical resonator into the nonlinear regime. Consequently, nonlinearities are widespread in nanomechanics and determine the critical characteristics of…

Applied Physics · Physics 2024-08-27 M. Ma , N. Welles , O. Svitelskiy , C. Yanik , I. I. Kaya , M. S. Hanay , M. R. Paul , K. L. Ekinci

We study the response of a weakly damped vibrational mode of a nanostring resonator to a moderately strong resonant driving force. Because of the geometry of the experiment, the studied flexural vibrations lack inversion symmetry. As we…

Mesoscale and Nanoscale Physics · Physics 2021-11-01 J. S. Ochs , G. Rastelli , M. Seitner , M. I. Dykman , E. M. Weig

We report quantitative experimental measurements of the nonlinear response of a radiofrequency mechanical resonator, with very high quality factor, driven by a large swept-frequency force. We directly measure the noise-free transition…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. S. Aldridge , A. N. Cleland

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

Nonlinear damping plays a significant role in several area of physics and it is becoming increasingly important to understand its underlying mechanism. However, microscopic origin of nonlinear damping is still a debatable topic. Here, we…

Mesoscale and Nanoscale Physics · Physics 2022-09-29 Parmeshwar Prasad , Nishta Arora , A. K. Naik

Nanoelectromechanical resonators provide an ideal platform for investigating the interplay between electron transport and nonlinear mechanical motion. Externally driven suspended carbon nanotubes, containing an electrostatically defined…

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

We consider a nanomechanical analogue of a nonlinear interferometer, consisting of two parallel, flexural nanomechanical resonators, each with an intrinsic Duffing nonlinearity and with a switchable beamsplitter-like coupling between them.…

Quantum Physics · Physics 2009-11-13 M. J. Woolley , G. J. Milburn , Carlton M. Caves

Two elastically coupled nanomechanical resonators driven independently near their resonance frequencies show intricate nonlinear dynamics. The dynamics provide a scheme for realizing a nanomechanical system with tunable frequency and…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 R. B. Karabalin , M. C. Cross , M. L. Roukes

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

We show that eigenstates |n> of the harmonic oscillator coupled to a linear Markovian bath demonstrate a non-trivial behavior in the dynamics of measures of non-classicality. Specifically, as the system undergoes decoherence, a…

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 a theoretical model for a nonlinear nanomechanical resonator coupled to a superconducting microwave resonator. The nanomechanical resonator is driven parametrically at twice its resonance frequency, while the superconducting…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Charles P. Meaney , Ross H. McKenzie , G. J. Milburn

Stochastic resonance is a general phenomenon usually observed in one-dimensional, amplitude modulated, bistable systems.We show experimentally the emergence of phase stochastic resonance in the bidimensional response of a forced…

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