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When a signal is injected in a parametric oscillator close enough to its resonance, the oscillator frequency and phase get locked to those of the injected signal. Here, we demonstrate two frequency locking schemes using a Josephson mixer in…

Mesoscale and Nanoscale Physics · Physics 2019-08-21 Danijela Marković , Jean-Damien Pillet , Emmanuel Flurin , Nicolas Roch , Benjamin Huard

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

We investigate nonlinear dispersive mode coupling between the flexural in- and out-of-plane modes of two doubly clamped, nanomechanical silicon nitride string resonators. As the amplitude of one mode transitions from the linear response…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 K. Gajo , G. Rastelli , E. M. Weig

We report on the injection locking of an optically levitated nanomechanical oscillator (a silica nanosphere) to resonant intensity modulations of an external optical signal. We explore the characteristic features of injection locking in…

We investigate nondegenerate parametric oscillations in a multimode superconducting microwave resonator that is terminated by a SQUID. The parametric effect is achieved by modulating magnetic flux through the SQUID at a frequency close to…

Coupled mechanical oscillations were first observed in paired pendulum clocks in the mid-seventeenth century and were extensively studied for their novel sympathetic oscillation dynamics. In this era of nanotechnologies, coupled…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Hajime Okamoto , Adrien Gourgout , Chia-Yuan Chang , Koji Onomitsu , Imran Mahboob , Edward Yi Chang , Hiroshi Yamaguchi

We present results from a study of the nonlinear intermodal coupling between different flexural vibrational modes of a single high-stress, doubly-clamped silicon nitride nanomechanical beam. The measurements were carried out at 100 mK and…

Mesoscale and Nanoscale Physics · Physics 2013-02-20 K. J. Lulla , R. B. Cousins , A. Venkatesan , M. J. Patton , A. D. Armour , C. J. Mellor , J. R. Owers-Bradley

We investigate parametric resonance in oscillator networks subjected to periodically time-varying oscillations in the edge strengths. Such models are inspired by the well-known parametric resonance phenomena for single oscillators, as well…

Systems and Control · Electrical Eng. & Systems 2024-06-18 Karthik Chikmagalur , Bassam Bamieh

Coupled resonators form band-like optical states that support rich nonlinearities beyond what is possible in single resonators. In these systems, four-wave mixing mediates interband coupling, displaying multimode dynamics that span both…

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

Mode locking in lasers is a collective effect, where due to a weak coupling a large number of frequency modes lock their phases to oscillate in unison, forming an ultrashort pulse in time. We demonstrate an analogous collective effect in…

Optics · Physics 2021-03-03 Leon Bello , Marcello Calvanese Strinati , Shai Ben-Ami , Avi Pe'er

We demonstrate parametric coupling between two modes of a silicon nitride membrane. We achieve the coupling by applying an oscillating voltage to a sharp metal tip that approaches the membrane surface to within a few 100 nm. When the…

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

We investigated injection locking in spin-wave active ring oscillators (SWAROs) operating in the multi-mode regime. By applying external RF signals with varying frequency and power, we identified the locking behavior of individual modes and…

Applied Physics · Physics 2025-12-12 Anirban Mukhopadhyay , Ihor I. Syvorotka , Anil Prabhakar

We study a conservative system of two nonlinear coupled oscillators. The eigenmodes of the system are thus nonlinearly coupled, and one of them may induce a parametric amplification of the other, called an autoparametric resonance of the…

Statistical Mechanics · Physics 2022-06-01 Johann Maddi , Christophe Coste , Michel Saint Jean

In the field of nanomechanics, parametric excitations are of interest since they can greatly enhance sensing capabilities and eliminate cross-talk. However, parametric excitations often rely on externally tuned springs, which limits their…

Mesoscale and Nanoscale Physics · Physics 2018-06-29 Robin J. Dolleman , Samer Houri , Abhilash Chandrashekar , Farbod Alijani , Herre S. J. van der Zant , Peter G. Steeneken

The interactions between parametrically and directly driven vibration modes of a clamped-clamped beam resonator are studied. An integrated piezoelectric transducer is used for direct and parametric excitation. First, the parametric…

Mesoscale and Nanoscale Physics · Physics 2011-10-26 H. J. R. Westra , D. M. Karabacak , S. H. Brongersma , M. Crego-Calama , H. S. J. van der Zant , W. J. Venstra

Amplification of light through stimulated emission or nonlinear optical interactions has had a transformative impact on modern science and technology. The amplification of other bosonic excitations, like phonons in solids, is likely to open…

Materials Science · Physics 2022-06-01 Andrea Cartella , Tobia Federico Nova , Michael Fechner , Roberto Merlin , Andrea Cavalleri

Mechanical sources of nonlinear damping play a central role in modern physics, from solid-state physics to thermodynamics. The microscopic theory of mechanical dissipation [M. I . Dykman, M. A. Krivoglaz, Physica Status Solidi (b) 68, 111…

Mesoscale and Nanoscale Physics · Physics 2020-07-09 Ata Keşkekler , Oriel Shoshani , Martin Lee , Herre S. J. van der Zant , Peter G. Steeneken , Farbod Alijani

Oscillators designed to function at cryogenic temperatures play a critical role in superconducting electronics and quantum computing by providing stable, low noise signals with minimal energy loss.Here we present a comprehensive numerical…

Emerging Technologies · Computer Science 2025-08-08 Md Mazharul Islam , Md Shafayat Hossain , Kathleen E Hamilton , Ahmedullah Aziz
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