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Mechanical resonators that possess coupled modes with harmonic frequency relations have recently sparked interest due to their suitability for controllable energy transfer and non-Hermitian dynamics. Here, we show coupling between high…

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

Atomic force microscopy (AFM) is a versatile nanoscale imaging technique. Since its spatiotemporal resolution is fundamentally limited by the minimum detectable force (MDF) arising from system noise, a deep understanding of MDF is essential…

Applied Physics · Physics 2026-01-16 Kenichi Umeda , Noriyuki Kodera

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 derive the exact expression for the resonant frequency of the time-averaged steady-state energy and show that this frequency is excellently approximated by the arithmetic mean of the amplitude and velocity resonant frequencies. In…

Classical Physics · Physics 2025-01-10 Karlo Lelas , Nikola Poljak

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

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

The volume fluctuations in the steady state reached by a vibrated granular gas of hard particles confined by a movable piston on the top are investigated by means of event driven simulations. Also, a compressibility factor, measuring the…

Statistical Mechanics · Physics 2015-05-18 J. Javier Brey , M. J. Ruiz-Montero

Material resonances are fundamentally important in the field of nano-photonics and optics. So it is of great interest to know what are the limits to which they can be tuned. The bandwidth of the resonances in materials is an important…

Optics · Physics 2023-04-20 Kshiteej J. Deshmukh , Graeme W. Milton

Very small electromechanical coupling coefficient in micro-electromechanical systems (MEMS) or acoustic resonators is quite of a concern for oscillator performance, specially at mmWave frequencies. This small coefficient is the…

Signal Processing · Electrical Eng. & Systems 2020-05-15 Abhishek Srivastava , Baibhab Chatterjee , Udit Rawat , Yanbo He , Dana Weinstein , Shreyas Sen

Milligram-scale resonators have been shown to be suitable for the creation of 3-mode optoacoustic parametric amplifiers, based on a phenomena first predicted for advanced gravitational-wave detectors. To achieve practical optoacoustic…

A two-dimensional photonic crystal microcavity design supporting a wavelength-scale volume resonant mode with a calculated quality factor (Q) insensitive to deviations in the cavity geometry at the level of Q~2x10^4 is presented. The…

Optics · Physics 2009-11-10 Kartik Srinivasan , Paul E. Barclay , Oskar Painter

Quality factor plays a fundamental role in dynamic mode atomic force microscopy. We present a technique to modify the quality factor of an atomic force microscopy cantilever within a Fabry-P\'erot optical interferometer. The experimental…

Mesoscale and Nanoscale Physics · Physics 2024-04-09 Noah Austin-Bingamon , Binod D. C. , Yoichi Miyahara

We study the dynamics of a mechanical resonator parametrically coupled to a driven dissipative quantum emitter in the ultra-strong coupling regime. We show that this regime is fully compatible with a semi-classical treatment, and we derive…

Quantum Physics · Physics 2019-01-16 Cyril Elouard , Benjamin Besga , Alexia Auffèves

We developed a lattice dynamical theory of an atomically-thin compressional piezoelectric resonator. Acoustic and optical dynamic displacement response functions are derived and account for frequency-dependent electromechanical coupling.…

Mesoscale and Nanoscale Physics · Physics 2024-10-07 Karl H. Michel , Cem Sevik , Milorad V. Milosevic

Mechanical resonators made with monolithic piezoelectric quartz crystals are promising for studying new physical phenomena. High mechanical quality factors ($Q$) exhibited by the mm-sized quartz resonators make them ideal for studying weak…

Applied Physics · Physics 2018-06-21 Alpo Valimaa , Jorge Santos , Caspar Ockeloen-Korppi , Mika Sillanpaa

The maximum amplitude of mechanical oscillators coupled to optical cavities are studied both analytically and numerically. The optical backaction on the resonator enables self-sustained oscillations whose limit cycle is set by the dynamic…

Optics · Physics 2013-10-23 M. Poot , K. Y. Fong , M. Bagheri , W. H. P. Pernice , H. X. Tang

We propose sub-harmonic resonant optical excitation with femtosecond lasers as a new method for the characterization of phononic and nanomechanical systems in the gigahertz to terahertz frequency range. This method is applied for the…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 A. Bruchhausen , R. Gebs , F. Hudert , D. Issenmann , G. Klatt , A. Bartels , O. Schecker , R. Waitz , A. Erbe , E. Scheer , J. -R. Huntzinger , A. Mlayah , T. Dekorsy

We study the collective dynamics of noise-driven excitable elements, so-called active rotators. Crucially here, the natural frequencies and the individual coupling strengths are drawn from some joint probability distribution. Combining a…

Disordered Systems and Neural Networks · Physics 2014-08-18 Bernard Sonnenschein , Thomas K. DM. Peron , Francisco A. Rodrigues , Jürgen Kurths , Lutz Schimansky-Geier

Amplitude-modulation atomic force microscopy (AM-AFM) measures nanoscale surface structures by detecting changes in the cantilever oscillation amplitude, contributing to materials research. AM-AFM can non-destructively observe fragile…

Applied Physics · Physics 2025-06-18 Kenichi Umeda , Karen Kamoshita , Noriyuki Kodera