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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

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

Networks of coupled resonators are an ubiquitous concept in physics, forming the basis of synchronization phenomena, metamaterial formation, nonreciprocal behavior and topological effects. Such systems are typically explored using optical…

Mesoscale and Nanoscale Physics · Physics 2019-12-03 Juliane Doster , Simon Hoenl , Heribert Lorenz , Philipp Paulitschke , Eva M. Weig

Strong vibrational coupling has been realized in a variety of mechanical systems from cavity optomechanics to electromechanics.$^{1, 2, 3, 4, 5}$ It is an essential requirement for enabling quantum control over the vibrational states.$^{6,…

Applied Physics · Physics 2019-06-19 Junzhong Wang , Kuai Yu , Yang Yang , Gregory V. Hartland , John E. Sader , Guo Ping Wang

Coupling, synchronization, and non-linear dynamics of resonator modes are omnipresent in nature and highly relevant for a multitude of applications ranging from lasers to Josephson arrays and spin torque oscillators. Nanomechanical…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Matthias Pernpeintner , Philip Schmidt , Daniel Schwienbacher , Rudolf Gross , Hans Huebl

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 locking phenomena of two strongly coupled, high-quality factor nanomechanical resonator modes subject to a common parametric drive at a single drive frequency. By controlled dielectric gradient forces we tune the resonance…

Mesoscale and Nanoscale Physics · Physics 2017-06-22 Maximilian J. Seitner , Mehdi Abdi , Alessandro Ridolfo , Michael J. Hartmann , Eva M. Weig

Nonlinear interactions between vibrational modes play a crucial role in understanding the dynamical response of nanomechanical resonators. Here, we report the experimental observation and theoretical modeling of nonlinear mode coupling in a…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Soumya Kanti Das , Nishta Arora , Hridhay A S , Akshay Naik , Chandan Samanta

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

We consider the tension-induced non-linearities of mechanical resonators, and derive the Hamiltonian of the flexural modes up to the fourth order in the position operators. This tension can be controlled by a nearby gate voltage. We focus…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Raphaël Khan , F. Massel , T. T. Heikkilä

Mechanical resonator networks are currently discussed in the context of model systems giving insight into problems of condensed matter physics including effects in topological phases. Here, we discuss networks based on three high-quality…

Mesoscale and Nanoscale Physics · Physics 2020-11-17 Daniel Schwienbacher , Thomas Luschmann , Rudolf Gross , Hans Huebl

We report on the nonlinear coupling between the mechanical modes of a nanotube resonator. The coupling is revealed in a pump-probe experiment where a mode driven by a pump force is shown to modify the motion of a second mode measured with a…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 A. Eichler , M. del Álamo Ruiz , J. A. Plaza , A. Bachtold

Coupled nanomechanical resonators are interesting for both fundamental studies and practical applications as they offer rich and tunable oscillation dynamics. At present, the mechanical coupling in such systems is often mediated by a fixed…

Mesoscale and Nanoscale Physics · Physics 2020-11-10 G. J. Verbiest , M. Goldsche , J. Sonntag , T. Khodkov , N. von den Driesch , D. Buca , C. Stampfer

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

We study the transverse oscillatory modes of nanomechanical silicon nitride strings under high tensile stress as a function of geometry and mode index m <= 9. Reproducing all observed resonance frequencies with classical elastic theory we…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Quirin P. Unterreithmeier , Thomas Faust , Jorg P. Kotthaus

The motion of a vibrating object is determined by the way it is held. This simple observation has long inspired string instrument makers to create new sounds by devising elegant string clamping mechanisms, whereby the distance between the…

Mesoscale and Nanoscale Physics · Physics 2022-10-31 Yue Ying , Zhuo-Zhi Zhang , Joel Moser , Zi-Jia Su , Xiang-Xiang Song , Guo-Ping Guo

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

Coupling an electromechanical resonator with carbon-nanotube quantum dots is a significant method to control both the electronic charge and the spin quantum states. By exploiting a novel micro-transfer technique, we fabricate two…

Recent progress in nanotechnology has allowed to fabricate new hybrid systems where a single two-level system is coupled to a mechanical nanoresonator. In such systems the quantum nature of a macroscopic degree of freedom can be revealed…

The dynamics of nanomechanical resonators driven by both low- and high-frequency signals is studied. Considering, as an example, resonators made of a doubly-clamped beam with magnetomotive driving, it is shown that three-frequency…

Mesoscale and Nanoscale Physics · Physics 2016-03-08 Anastasiia Y. Nimets , Klaus Schuenemann , Dmytro M. Vavriv
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