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We investigate theoretically the non-linear dynamics of a coupled nanomechanical oscillator. Under a weak radio frequency excitation, the resonators can be parametrically tuned into a self-sustained oscillatory regime. The transfer of…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Marta Prada , Gloria Platero , Daniela Pfannkuche

In this study we consider the Hamiltonian approach for the construction of a map for a system with nonlinear resonant interaction, including phase trapping and phase bunching effects. We derive basic equations for a single resonant…

We theoretically propose a nonlinear spin-wave Doppler effect, in which the time-dependent motion of a magnetic energy boundary acts as an active frequency modulator, directly converting boundary-induced phase dynamics into instantaneous…

Applied Physics · Physics 2026-05-22 Jinchen Hou , Shaojie Hu , Long You

In this paper we investigate a hybrid quantum system comprising a mechanical oscillator coupled via magnetic induced electromotive force to an $LC$ resonator. We derive the Lagrangian and Hamiltonian for this system and find that the…

Mesoscale and Nanoscale Physics · Physics 2018-01-24 Erick Romero-Sanchez , Warwick P. Bowen , Michael R. Vanner , Ke Yu Xia , Jason Twamley

We propose and design a new type of nonlinear metamaterials exhibiting a resonant electric response at microwave frequencies. By introducing a varactor diode as a nonlinear element within each resonator, we are able to shift the frequency…

Optics · Physics 2009-08-25 David A. Powell , Ilya V. Shadrivov , Yuri S. Kivshar

We describe the realization of multimode phononic correlations that arise from nonlinear interactions in a mechanical nondegenerate parametric amplifier. The nature of these correlations differs qualitatively depending on the strength of…

Quantum Physics · Physics 2015-07-17 S. Chakram , Y. S. Patil , M. Vengalattore

We study, numerically and analytically, a model of a one-dimensional array of carbon nanotube resonators in a two-terminal configuration. The system is brought into resonance upon application of an AC-signal superimposed on a DC-bias…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. Isacsson , J. M. Kinaret

We present a high-sensitivity measurement technique for mechanical nanoresonators. Due to intrinsic nonlinear effects, different flexural modes of a nanobeam can be coupled while driving each of them on resonance. This mode-coupling scheme…

Mesoscale and Nanoscale Physics · Physics 2015-12-02 M. Defoort , K. J. Lulla , C. Blanc , O. Bourgeois , A. D. Armour , E. Collin

We study the frequency-dependent noise of a suspended carbon nanotube quantum dot nanoelectromechanical resonator induced by electron-vibration coupling. Using a rigorous Keldysh diagrammatic technique, we establish a formal framework…

Mesoscale and Nanoscale Physics · Physics 2024-12-10 Dong E. Liu , Alex Levchenko

Nonlinearity in macroscopic mechanical system plays a crucial role in a wide variety of applications, including signal transduction and processing, synchronization, and building logical devices. However, it is difficult to generate…

We introduce the concept of controlling the nonlinear response of the metamaterial by altering its internal structure. We experimentally demonstrate tuning of the nonlinear response of two coupled split-ring resonators by changing their…

Nanophotonics systems have recently been studied under the perspective of non-Hermitian physics. Given their potential for wavefront control, nonlinear optics and quantum optics, it is crucial to develop predictive tools to assist their…

We investigate the stochastic resonance phenomenon in a physical system based on a tunnel diode. The experimental control parameters are set to allow the control of the frequency and amplitude of the deterministic modulating signal over an…

Statistical Mechanics · Physics 2009-10-31 Rosario N. Mantegna , Bernardo Spagnolo , Marco Trapanese

Mechanical sources of nonlinear damping play a central role in modern physics, from solid-state physics to thermodynamics. The microscopic theory of mechanical dissipation [M. I . Dykman, M. A. Krivoglaz, Physica Status Solidi (b) 68, 111…

Mesoscale and Nanoscale Physics · Physics 2020-07-09 Ata Keşkekler , Oriel Shoshani , Martin Lee , Herre S. J. van der Zant , Peter G. Steeneken , Farbod Alijani

We study the effect of the electron-phonon coupling on vibrational eigenmodes of nano- and micro-mechanical systems made of semiconductors with equivalent energy valleys. We show that the coupling can lead to a strong mode nonlinearity. The…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 Kirill Moskovtsev , M. I. Dykman

The non-linear interaction between two mechanical resonances of the same freely suspended carbon nanotube resonator is studied. We find that in the Coulomb blockade regime, the non-linear modal interaction is dominated by…

Mesoscale and Nanoscale Physics · Physics 2012-07-11 Andres Castellanos-Gomez , Harold B. Meerwaldt , Warner J. Venstra , Herre S. J. van der Zant , Gary A. Steele

The article is devoted to the investigation of the nonlinear effects in a system of the coupled longitudinal-torsional parametric vibrations of a rotating rod. Constructed and investigated mathematical model, based on which we calculated…

Applied Physics · Physics 2018-03-13 Ivan V. Kazachkov

We study nonlinear resonance of coupled modes in nano-mechanical systems. To reveal the qualitative features of the dynamics, we consider the limiting cases, where the results can be obtained analytically. For 1:3 resonance, we find the…

Mesoscale and Nanoscale Physics · Physics 2017-02-03 O. Shoshani , S. W. Shaw , M. I. Dykman

Networks of nonlinear resonators offer a promising platform for analog computing and the emulation of complex systems. However, realizing such networks remains challenging, as it requires resonators with high quality factors, individual…

Mesoscale and Nanoscale Physics · Physics 2025-06-03 Luis Mestre , Suyash Singh , Gabriel Margiani , Letizia Catalini , Alexander Eichler , Vincent Dumont

Soft nanosystems are electronic nanodevices, such as suspended carbon nanotubes or molecular junctions, whose transport properties are modulated by soft internal degrees of freedom, for example slow vibrational modes. In this review,…

Mesoscale and Nanoscale Physics · Physics 2016-03-24 A. Nocera , C. A. Perroni , V. Marigliano Ramaglia , V. Cataudella