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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

A dual-excitation method for resonant-frequency tracking in scanning probe microscopy based on amplitude detection is developed. This method allows the cantilever to be operated at or near resonance for techniques where standard phase…

Materials Science · Physics 2008-03-13 B J Rodriguez , C Callahan , S V Kalinin , R Proksch

Nano-constriction spin-Hall nano-oscillators (NC-SHNOs) are one of the most promising alternatives among the microwave spintronics devices. They can provide highly coherent and widely tuneable microwave signals and can be fabricated at low…

Mesoscale and Nanoscale Physics · Physics 2020-12-15 Corrado Carlo Maria Capriata , Sheng Jiang , Mykola Dvornik , Johan Åkerman , Bengt Gunnar Malm

Novel concepts, perspectives and challenges in measuring and controlling an open quantum system via sequential schemes are shown. We discuss how similar protocols, relying both on repeated quantum measurements and dynamical decoupling…

Quantum Physics · Physics 2019-06-26 Stefano Gherardini , Andrea Smirne , Matthias M. Müller , Filippo Caruso

As nascent nonlinear oscillators, nano-constriction spin Hall nano-oscillators (SHNOs) represent a promising potential for integration into more complicated systems such as neural networks, magnetic field sensors, and radio frequency (RF)…

We present a method for analyzing the phase noise of oscillators based on feedback driven high quality factor resonators. Our approach is to derive the phase drift of the oscillator by projecting the stochastic oscillator dynamics onto a…

Pattern Formation and Solitons · Physics 2015-10-28 Eyal Kenig , M. C. Cross

We have studied the dynamics of a spin-torque nanooscillator's (STNO) phase locked loop (PLL) generating microwave oscillations in a broad range of frequencies under the effect of direct current and external magnetic field. Bifurcations in…

Chaotic Dynamics · Physics 2016-11-18 Alexander A. Mitrofanov , Ansar R. Safin , Nicolay N. Udalov

Resonance based numerical schemes are those in which cancellations in the oscillatory components of the equation are taken advantage of in order to reduce the regularity required of the initial data to achieve a particular order of error…

Numerical Analysis · Mathematics 2024-02-14 Jacob Armstrong-Goodall , Yvain Bruned

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 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 introduce concepts from optimal estimation to the stabilization of precision frequency standards limited by noisy local oscillators. We develop a theoretical framework casting various measures for frequency standard variance in terms of…

Quantum Physics · Physics 2016-08-17 J. Sastrawan , C. Jones , I. Akhalwaya , H. Uys , M. J. Biercuk

In many engineering applications the level of nonlinear distortions in frequency response function (FRF) measurements is quantified using specially designed periodic excitation signals called random phase multisines and periodic noise. The…

Systems and Control · Electrical Eng. & Systems 2020-04-16 Rik Pintelon , Maarten Schoukens , John Lataire

Radio-frequency (RF) reflectometry is implemented in hybrid semiconductor-superconductor nanowire systems designed to probe Majorana zero modes. Two approaches are presented. In the first, hybrid nanowire-based devices are part of a…

As a model of coupled nano-electromechanical resonantors we study two nonlinear driven oscillators with an arbitrary coupling strength between them. Analytical expressions are derived for the oscillation amplitudes as a function of the…

Chaotic Dynamics · Physics 2015-05-28 L. Chotorlishvili , A. Ugulava , G. Mchedlishvili , A. Komnik , S. Wimberger , J. Berakdar

The number of resident space objects is rising at an alarming rate. Mega-constellations and breakup events are proliferating in most orbital regimes, and safe navigation is becoming increasingly problematic. It is important to be able to…

Instrumentation and Methods for Astrophysics · Physics 2025-04-11 Yannick Sztamfater Garcia , Joaquin Miguez , Manuel Sanjurjo-Rivo

Mechanical nonlinearities dominate the motion of nanoresonators already at relatively small oscillation amplitudes. Although single and coupled two-degrees-of-freedom models have been used to account for experimentally observed nonlinear…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 Ata Keşkekler , Vincent Bos , Alejandro M. Aragón , Peter G. Steeneken , Farbod Alijani

We investigate a lateral semiconductor quantum dot with a large number of electrons in the semi-open Fano regime. In transport measurements we observe three stable series of Fano resonances with similar lineshapes. We present a simple model…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. Fuhner , U. F. Keyser , R. J. Haug , D. Reuter , A. D. Wieck

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

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

The frequency response analysis describes the steady-state responses of a system to sinusoidal inputs at different frequencies, providing control engineers with an effective tool for designing control systems in the frequency domain.…

Systems and Control · Electrical Eng. & Systems 2024-12-02 Xinxin Zhang , Marcin B Kaczmarek , S. Hassan HosseinNia