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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 investigate nonlinear dispersive mode coupling between the flexural in- and out-of-plane modes of two doubly clamped, nanomechanical silicon nitride string resonators. As the amplitude of one mode transitions from the linear response…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 K. Gajo , G. Rastelli , E. M. Weig

Nonlinear modal interactions in resonant systems govern a wide range of phenomena, with broad relevance across modern physics and engineering. Yet, experimentally determining the strength of nonlinear coupling in multimode resonators…

Mesoscale and Nanoscale Physics · Physics 2026-04-16 Chris F. D. Wattjes , Zichao Li , Minxing Xu , Richard A. Norte , Peter G. Steeneken , Farbod Alijani

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

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

We study the vibrational motion of membrane resonators upon strong drive in the strongly nonlinear regime. By imaging the vibrational state of rectangular siliconnitride membrane resonators and by analyzing the frequency response using…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 Fan Yang , Felix Rochau , Jana Huber , Alexandre Brieussel , Gianluca Rastelli , Eva M. Weig , Elke Scheer

We demonstrate parametric coupling between two modes of a silicon nitride membrane. We achieve the coupling by applying an oscillating voltage to a sharp metal tip that approaches the membrane surface to within a few 100 nm. When the…

We investigate mechanical mode coupling between the four fundamental flexural modes of two doubly-clamped, high-Q silicon-nitride nanomechanical string resonators. Strong mechanical coupling between the strings is induced by the strain…

Applied Physics · Physics 2017-10-03 Katrin Gajo , Simon Schüz , Eva M. Weig

We uncover a chain of nonlinear modal interactions in softly clamped nanostring resonators. The process involves the sequential coupling of five mechanical modes, during frequency sweeps, yielding a broad nonlinear response with nearly…

Mesoscale and Nanoscale Physics · Physics 2026-02-10 Zichao Li , Minxing Xu , Richard A. Norte , Alejandro M. Aragón , Peter G. Steeneken , Farbod Alijani

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

The nonlinear interactions between flexural and torsional modes of a microcantilever are experimentally studied. The coupling is demonstrated by measuring the frequency response of one mode, which is sensitive to the motion of another…

Mesoscale and Nanoscale Physics · Physics 2012-07-17 H. J. R. Westra , H. S. J. van der Zant , W. J. Venstra

High quality factor mechanical resonators have shown great promise in developing classical or quantum technologies. Simultaneously, progress has been made in developing controlled mechanical nonlinearity. Here we combine these two…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 Rajan Singh , Arnab Sarkar , Chitres Guria , Ryan J. T. Nicholl , Sagar Chakraborty , Kirill I. Bolotin , Saikat Ghosh

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

We present initial results regarding the existence, stability and interaction of linear and nonlinear vibrational modes in a system of two coupled, one dimensional lattices with unequal numbers of masses. The effects on these nonlinear…

Biological Physics · Physics 2007-05-23 Kyle Forinash

The objective of the present study is to explore the connection between the nonlinear normal modes of an undamped and unforced nonlinear system and the isolated resonance curves that may appear in the damped response of the forced system.…

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

Recent experiments on spin torque oscillators have revealed interactions between multiple magnetodynamic modes, including mode-coexistence, mode-hopping, and temperature-driven cross-over between modes. Initial multimode theory has…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Steven S. -L. Zhang , Ezio Iacocca , Olle Heinonen

In this experimental study we show that the coupling between Nb/NbN superconducting microwave resonators and their feedline can be made amplitude dependent. We employ this mechanism to tune the resonators into critical coupling condition, a…

Superconductivity · Physics 2007-05-23 Baleegh Abdo , Eran Segev , Oleg Shtempluck , Eyal Buks

We present a method for resolving spatial mode overlaps in coupled microresonators based on Kerr and thermal cross-phase modulation. Through a pump-probe setup, we measure experimental overlap in a three-ring resonator with good agreement…

Nanomechanical resonators, machined out of Silicon-on-Insulator wafers, are operated in the nonlinear regime to investigate higher-order mechanical mixing at radio frequencies, relevant to signal processing and nonlinear dynamics on…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Erbe , G. Corso , H. Krommer , A. Kraus , K. Richter , R. H. Blick
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