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We propose a general one-dimensional {\em continuous} formulation to analyze the vibrational modes of antenna-like nanomechanical resonators consisting of two symmetric arrays of cantilevers affixed to a central nano-beam. The cantilever…

Mathematical Physics · Physics 2015-05-13 J. Dorignac , A. Gaidarzhy , P. Mohanty

In NMR-based quantum computing, it is known that the controlled-NOT gate can be implemented by applying a low-power, monochromatic radio-frequency field to one peak of a doublet in a weakly-coupled two-spin system. This is known in NMR…

Quantum Physics · Physics 2010-04-23 D. G. Cory , A. E. Dunlop , T. F. Havel , S. S. Somaroo , W. Zhang

In the present work, we examine the role of nonlinearity in vibrational resonance (VR) of a forced and damped form of a velocity-dependent potential system. Many studies have focused on studying the vibrational resonance in different…

Chaotic Dynamics · Physics 2023-05-05 R Kabilan , M Sathish Aravindh , A Venkatesan , M Lakshmanan

The sensitivity of mechanical resonators to physical quantities such as acceleration, pressure, mass and temperature enables them to underpin sensing and metrology applications. Here, we observe that the resonance frequency of a…

Applied Physics · Physics 2025-09-15 Toji Thomas , Kevin F. MacDonald , Eric Plum

Spin-torque oscillators are strong candidates as nano-scale microwave generators and detectors. However, because of large amplitude-phase coupling (non-linearity), phase noise is enhanced over other linear auto-oscillators. One way to…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Muftah Al-Mahdawi , Yusuke Toda , Yohei Shiokawa , Masashi Sahashi

Coherent coupling of two qubits mediated by a nonlinear resonator is studied. It is shown that the amount of entanglement accessible in the evolution depends both on the strength of nonlinearity in the Hamiltonian of the resonator and on…

Quantum Physics · Physics 2015-05-13 M. Kurpas , J. Dajka , E. Zipper

We study the properties of a nano-electromechanical system in the coherent regime, where the electronic and vibrational time scales are of the same order. Employing a master equation approach, we obtain the stationary reduced density matrix…

Mesoscale and Nanoscale Physics · Physics 2011-06-24 G. Piovano , F. Cavaliere , E. Paladino , M. Sassetti

Coupling a microscopic mechanical resonator to a nano-scale quantum system enables control of the mechanical resonator via the quantum system, and vice versa. The coupling is usually achieved through functionalization of the mechanical…

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

Motivated by recent experiments, where a voltage biased Josephson junction is placed in series with a resonator, the classical dynamics of the circuit is studied in various domains of parameter space. This problem can be mapped onto the…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 S. Meister , M. Mecklenburg , V. Gramich , J. T. Stockburger , J. Ankerhold , B. Kubala

We experimentally demonstrate stimulated four-wave mixing in two linearly uncoupled integrated Si$_3$N$_4$ micro-resonators. In our structure the resonance combs of each resonator can be tuned independently, with the energy transfer from…

Optics · Physics 2020-03-18 K. Tan , M. Menotti , Z. Vernon , J. E. Sipe , M. Liscidini , B. Morrison

Many modern engineering structures exhibit nonlinear vibration. Characterizing such vibrations efficiently is critical to optimizing designs for reliability and performance. For linear systems, steady-state vibration occurs only at the…

Dynamical Systems · Mathematics 2024-05-02 Justin H. Porter , Matthew R. W. Brake

The nonlinear interaction of a microresonator pumped by a laser has revealed complex dynamics including soliton formation and chaos. Initial studies of coupled-resonator systems reveal even more complicated dynamics that can lead to…

We present an application of a new formalism to treat the quantum transport properties of fully interacting nanoscale junctions [Phys. Rev. B {\bf 84}, 235428 (2011)]. We consider a model single-molecule nanojunction in the presence of two…

Mesoscale and Nanoscale Physics · Physics 2012-10-15 H. Ness , L. K. Dash

Nonlinear micro-electro-mechanical systems (MEMS) resonators open new opportunities in sensing and signal manipulation compared to their linear counterparts by enabling frequency tuning and increased bandwidth. Here, we design, fabricate…

A method is presented for tracing the locus of a specific peak in the frequency response under variation of a parameter. It is applicable to periodic, steady-state vibrations of harmonically forced nonlinear mechanical systems. It operates…

Computational Engineering, Finance, and Science · Computer Science 2021-01-01 Alwin Förster , Malte Krack

Nanoelectromechanical systems offer unique functionalities in photonics: The ability to elastically and reversibly deform dielectric beams with subwavelength dimensions enable electrical control of the propagation of light with a power…

By investigating thoroughly the tunable behavior of coupled modes, we highlight how it provides new means to handle the properties of spin transfer nano-oscillators. We first demonstrate that the main features of the microwave signal…

We investigate the electromechanical actuation of a pair of suspended silicon nitride membranes forming a monolithic optomechanical array. By controlling the membrane resonators' tensile stress via a piezoelectrically controlled compressive…

Applied Physics · Physics 2019-08-09 Sepideh Naserbakht , Andreas Naesby , Aurélien Dantan

We examine kinematic dynamo action driven by an axisymmetric large scale flow that is superimposed with an azimuthally propagating non-axisymmetric perturbation with a frequency $\omega$. Although we apply a rather simple large scale…

Fluid Dynamics · Physics 2017-05-23 Andre Giesecke , Frank Stefani , Johann Herault