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We demonstrate strong coupling between the flexural vibration modes of a clamped-clamped micromechanical resonator vibrating at low amplitudes. This coupling enables the direct measurement of the frequency response via amplitude- and phase…

Mesoscale and Nanoscale Physics · Physics 2013-03-26 W. J. Venstra , R. van Leeuwen , H. S. J. van der Zant

We present a Hamiltonian model describing two pairs of mechanical and optical modes under standard optomechanical interaction. The vibrational modes are mechanically isolated from each other and the optical modes couple evanescently. We…

In this paper, we study the behaviour of the coupled subwavelength resonant modes when two high-contrast acoustic resonators are brought close together. We consider the case of spherical resonators and use bispherical coordinates to derive…

Analysis of PDEs · Mathematics 2020-08-11 Habib Ammari , Bryn Davies , Sanghyeon Yu

Mechanical resonators operating in the high-frequency regime have become a versatile platform for fundamental and applied quantum research. Their exceptional properties, such as low mass and high quality factor, make them also very…

Mesoscale and Nanoscale Physics · Physics 2023-11-29 Diego A. Visani , Letizia Catalini , Christian L. Degen , Alexander Eichler , Javier del Pino

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

The motion of micro- and nanomechanical resonators can be coupled to electromagnetic fields. This allows to explore the mutual interaction and introduces new means to manipulate and control both light and mechanical motion. Such…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Georg Heinrich , Florian Marquardt

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…

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 nonlinear resonance of coupled modes in nano-mechanical systems. To reveal the qualitative features of the dynamics, we consider the limiting cases, where the results can be obtained analytically. For 1:3 resonance, we find the…

Mesoscale and Nanoscale Physics · Physics 2017-02-03 O. Shoshani , S. W. Shaw , M. I. Dykman

We study the dynamics of a symmetric two-level system strongly coupled to a broadened harmonic mode. Upon mapping the problem onto a spin-boson model with peaked spectral density, we show how analytic solutions can be obtained, at arbitrary…

Statistical Mechanics · Physics 2009-11-13 F. Nesi , M. Grifoni , E. Paladino

In this work, we report optomechanical coupling, resolved sidebands and phonon lasing in a solid-core microbottle resonator fabricated on a single mode optical fiber. Mechanical modes with quality factors (Q_m) as high as 1.57*10^4 and…

It was shown [New J. Phys. 17, 103037 (2015)] that large and robust entanglement between two different mechanical resonators could be achieved, either dynamically or in the steady state, in an optomechanical system in which the two…

Quantum Physics · Physics 2017-04-18 Jie Li , Gang Li , Stefano Zippilli , David Vitali , Tiancai Zhang

Motivated by the rich variety of complex periodic and quasi-periodic patterns found in systems such as two-frequency forced Faraday waves, we study the interaction of two spatially periodic modes that are nearly resonant. Within the…

Pattern Formation and Solitons · Physics 2007-05-23 M. Higuera , H. Riecke , M. Silber

Having simultaneously a high quality factor (i.e. a narrow resonant band) and a shorter interaction time between the resonating system and the external sources (i.e. a wide resonant band) is a desirable characteristic for mechanical…

Applied Physics · Physics 2019-09-09 Lijie Li

In recent years, remarkable progress has been made towards encoding and processing quantum information in the large Hilbert space of bosonic modes. Mechanical resonators are of great interest for this purpose, since they confine many high…

Quantum Physics · Physics 2023-03-02 Uwe von Lüpke , Ines C. Rodrigues , Yu Yang , Matteo Fadel , Yiwen Chu

In this paper, we investigate wave scattering by a pair of closely spaced inclusions embedded in a homogeneous medium, characterized by a high contrast physical parameters. The system is modeled by the two-dimensional Helmholtz equation. We…

Analysis of PDEs · Mathematics 2025-11-21 Hongjie Dong , Hongjie Li , Longjuan Xu

The resonant quantum dynamics of an excited two-level emitter is investigated via classical modulation of its transition frequency while simultaneously the radiator interacts with a broadband electromagnetic field reservoir. The frequency…

Quantum Physics · Physics 2015-06-23 Mihai Macovei , Christoph H. Keitel

We investigate a scheme that makes a quantum non-demolition measurement of the excitation level of a mesoscopic mechanical oscillator by utilizing the anharmonic coupling between two elastic beam bending modes. The non-linear coupling…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. H. Santamore , A. C. Doherty , M. C. Cross

Guided-mode resonances in diffraction gratings are manifested as peaks (dips) in reflection (transmission) spectra. Smaller resonance line widths (higher Q-factors) ensure stronger light-matter interactions and are beneficial for…

Single photon-level quantum frequency conversion has recently been demonstrated using silicon nitride microring resonators. The resonance enhancement offered by such systems enables high-efficiency translation of quantum states of light…

Optics · Physics 2016-08-10 Z. Vernon , M. Liscidini , J. E. Sipe
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