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Self-sustained oscillators are ubiquitous and essential for metrology, communications, time reference, and geolocation. In its most basic form an oscillator consists of a resonator driven on-resonance, through feedback, to create a periodic…

Mesoscale and Nanoscale Physics · Physics 2013-05-21 L. G. Villanueva , E. Kenig , R. B. Karabalin , M. H. Matheny , R. Lifshitz , M. C. Cross , M. L. Roukes

We develop a simple continuum model to analyze the vibrational modes of a nanomechanical multi-element structure. In this model, arrays of sub-micron cantilevers located symmetrically on both sides of the central clamped-clamped nanobeam…

Mesoscale and Nanoscale Physics · Physics 2008-02-29 J. Dorignac , A. Gaidarzhy , P. Mohanty

Spatio-temporal control of ultrafast plasmon resonances has gained research interest in recent years because of their tremendous implications in nonlinear optics and ultrafast quantum technology. In particular, the lifetime of ultrashort…

Optics · Physics 2022-03-01 Hira Asif , Ramazan Sahin

For the hopping dynamics in a one-dimensional model, containing energy and barrier disorder, we determine the linear and nonlinear response to an external field for arbitrary external frequencies. The calculation is performed in analytical…

Disordered Systems and Neural Networks · Physics 2013-02-15 Clara Mattner , Bernhard Roling , Andreas Heuer

The resonances of forced dynamical systems occur when either the amplitude of the frequency response undergoes a local maximum (amplitude resonance) or phase lag quadrature takes places (phase resonance). This study focuses on the phase…

Dynamical Systems · Mathematics 2021-08-25 Martin Volvert , Gaetan Kerschen

Nano-electromechanical systems implement the opto-mechanical interaction combining electromagnetic circuits and mechanical elements. We investigate an inductively coupled nano-electromechanical system, where a superconducting quantum…

Quantum Physics · Physics 2023-03-22 Thomas Luschmann , Philip Schmidt , Frank Deppe , Achim Marx , Alvaro Sanchez , Rudolf Gross , Hans Huebl

In the present work, we study the dynamics of a magnetic nanoparticle coupled through the magnetoelectric coupling to the ferroelectric crystal. The model of our interest is nonlinear, and we explore the problem under different limits of…

Mesoscale and Nanoscale Physics · Physics 2023-06-26 M. Wanic , Z. Toklikishvili , S. K. Mishra , M. Trybus , L. Chotorlishvili

Here we present a one-degree-of-freedom model of a nonlinear parametrically-driven resonator in the presence of a small added ac signal that has spectral responses similar to a frequency comb. The proposed nonlinear resonator has a spread…

Pattern Formation and Solitons · Physics 2020-12-23 Adriano A. Batista , A. A. Lisboa de Souza

We investigate nonlinear magnetoelastic wave dynamics and electrically tunable soliton excitations in hexagonal multiferroic media. By varying the magnetoelastic coupling strength and using a coupled magnetoelastic-ferroelectric continuum…

Mesoscale and Nanoscale Physics · Physics 2026-03-09 Saumen Acharjee , Kallol Kavas Hazarika , Rajneesh Kakoti

We have realized a nano-electromechanical hybrid system consisting of a silicon nitride beam dielectrically coupled to a superconducting microwave resonator. We characterize the sample by making use of the Duffing nonlinearity of the…

Mesoscale and Nanoscale Physics · Physics 2015-01-21 Matthias Pernpeintner , Thomas Faust , Fredrik Hocke , Jörg P. Kotthaus , Eva M. Weig , Hans Huebl , Rudolf Gross

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

The quantum nonlinear dimer consisting of an electron shuttling between the two sites and in weak interaction with vibrations, is studied numerically under the application of a DC electric field. A field-induced resonance phenomenon between…

Other Condensed Matter · Physics 2011-11-04 M. Tiwari , D. V. Seletskiy , V. M. Kenkre

Bistability in nanomechanical resonators can be exploited for sensing, signal processing, and memory applications due to its potential for switching and high sensitivity to external stimuli. External vibration can be used to drive a…

Applied Physics · Physics 2025-09-26 Toji Thomas , Kevin F. MacDonald , Eric Plum

We investigate resonance phenomena in a system consisting of a nanomagnet coupled to a Josephson junction under external periodic drive. The coupling in the system leads to appearance of additional resonance peaks whose properties depend on…

Superconductivity · Physics 2025-07-14 K. V. Kulikov , D. V. Anghel , M. Nashaat , M. Dolineanu , M. Sameh , Yu. M. Shukrinov

As a proof of principle, we show how a classical nonlinear Hamiltonian system can be driven resonantly over reasonably long times by appropriately shaped pulses. To keep the parameter space reasonably small, we limit ourselves to a driving…

Chaotic Dynamics · Physics 2013-10-23 Carlo Palmisano , Gianpiero Gervino , Massimo Balma , Dorina Devona , Sandro Wimberger

We present a qualitative model for a fundamental process in molecular electronics: the change in conductance upon bond breaking. In our model a diatomic molecule is attached to spin-polarized contacts. Employing a Hubbard Hamiltonian,…

Materials Science · Physics 2008-06-24 Ali Goker , Francois Goyer , Matthias Ernzerhof

We study the dynamics of a laser-trapped nanoparticle in high vacuum. Using parametric coupling to an external excitation source, the linewidth of the nanoparticle's oscillation can be reduced by three orders of magnitude. We show that the…

Mesoscale and Nanoscale Physics · Physics 2014-03-14 Jan Gieseler , Marko Spasenovic , Lukas Novotny , Romain Quidant

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

We fabricate a microscale electromechanical system, in which a suspended superconducting membrane, treated as a mechanical oscillator, capacitively couples to a superconducting microwave resonator. As the microwave driving power increases,…

This dissertation presents a new coupled electro-mechanical model that is an improvement on the classical parallel-plate approximation. The model employs a hyperbolic function to account for the beam deformed shape and electrostatic field.…

Applied Physics · Physics 2017-08-24 Xi Luo