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A hallmark of mechanical resonators made from a single nanotube is that the resonance frequency can be widely tuned. Here, we take advantage of this property to realize parametric amplification and self-oscillation. The gain of the…

Mesoscale and Nanoscale Physics · Physics 2012-02-01 Alexander Eichler , Julien Chaste , Joel Moser , Adrian Bachtold

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

This paper considers the dynamic response of a single degree of freedom system with nonlinear stiffness and nonlinear damping that is subjected to both resonant direct excitation and resonant parametric excitation, with a general phase…

Mesoscale and Nanoscale Physics · Physics 2020-11-03 Donghao Li , Steven W. Shaw

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

Parametric excitation in coupled mechanical systems has enabled advances in sensing, computation, and phonon control. The function of distinct phase modes using parametric driving remains insufficiently explored. Here, we investigate the…

Mesoscale and Nanoscale Physics · Physics 2025-10-31 Vishnu Kumar , Nishta Arora , Bhargavi B. A. , Akshay Naik , Saurabh A. Chandorkar

Mechanical resonators are ubiquitous in modern information technology. With the ability to couple them to electromagnetic and plasmonic modes, they hold the promise to be the key building blocks in future quantum information technology.…

Mesoscale and Nanoscale Physics · Physics 2016-07-04 John P. Mathew , Raj N. Patel , Abhinandan Borah , R. Vijay , Mandar M. Deshmukh

The paper describes a novel parametric excitation scheme that acts as a tunable amplifier by controlling two pumping signals and two nonlinear feedback terms. By modulating the stiffness of a mechanical oscillator with a digital signal…

Applied Physics · Physics 2018-03-08 Amit Dolev , Izhak Bucher

Nonlinear damping plays a significant role in several area of physics and it is becoming increasingly important to understand its underlying mechanism. However, microscopic origin of nonlinear damping is still a debatable topic. Here, we…

Mesoscale and Nanoscale Physics · Physics 2022-09-29 Parmeshwar Prasad , Nishta Arora , A. K. Naik

Superconducting resonator parametric amplifiers are potentially important components for a wide variety of fundamental physics experiments and utilitarian applications. We propose and realise an operating scheme that achieves amplification…

Quantum Physics · Physics 2026-04-15 Songyuan Zhao , Stafford Withington , Christopher Thomas

With a large portfolio of elemental quantum components, superconducting quantum circuits have contributed to dramatic advances in microwave quantum optics. Of these elements, quantum-limited parametric amplifiers have proven to be essential…

Mechanical or electromechanical amplifiers can exploit the high-Q and low noise features of mechanical resonance, in particular when parametric excitation is employed. Multi-frequency parametric excitation introduces tunability and is able…

Applied Physics · Physics 2018-03-08 Amit Dolev , Izhak Bucher

We experimentally investigate the nonlinear response of a multilayer graphene resonator using a superconducting microwave cavity to detect its motion. The radiation pressure force is used to drive the mechanical resonator in an…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Vibhor Singh , Olga Shevchuk , Ya. M. Blanter , Gary A. Steele

The excellent mechanical properties make graphene promising for realizing nanomechanical resonators with high resonant frequencies, large quality factors, strong nonlinearities, and the capability to effectively interface with various…

Mesoscale and Nanoscale Physics · Physics 2025-07-24 Yi-Bo Wang , Zhuo-Zhi Zhang , Chen-Xu Wu , Yu-Shi Zhang , Guo-Sheng Lei , Xiang-Xiang Song , Guo-Ping Guo

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

Coupled nanomechanical resonators are interesting for both fundamental studies and practical applications as they offer rich and tunable oscillation dynamics. At present, the mechanical coupling in such systems is often mediated by a fixed…

Mesoscale and Nanoscale Physics · Physics 2020-11-10 G. J. Verbiest , M. Goldsche , J. Sonntag , T. Khodkov , N. von den Driesch , D. Buca , C. Stampfer

Parametric amplification offers a route to overcoming intrinsic damping in spin-wave systems, a key challenge in the development of magnonic signal processing and computing technologies. Here we demonstrate the sustained amplification of…

Other Condensed Matter · Physics 2025-07-22 Carson Rivard , Albrecht Jander , Pallavi Dhagat

Optical parametric amplification is a second-order nonlinear process whereby an optical signal is amplified by a pump via the generation of an idler field. It is the key ingredient of tunable sources of radiation that play an important role…

We characterize a novel Josephson parametric amplifier based on a flux-tunable quarter-wavelength resonator. The fundamental resonance frequency is ~1GHz, but we use higher modes of the resonator for our measurements. An on-chip tuning line…

Mesoscale and Nanoscale Physics · Physics 2015-11-12 M. Simoen , C. W. S. Chang , P. Krantz , Jonas Bylander , W. Wustmann , V. Shumeiko , P. Delsing , C. M. Wilson

We develop a theory for non-degenerate parametric resonance in a tunable superconducting cavity. We focus on nonlinear effects that are caused by nonlinear Josephson elements connected to the cavity. We analyze parametric amplification in a…

Quantum Physics · Physics 2017-08-31 Waltraut Wustmann , Vitaly Shumeiko

We present a formalism for modelling parametric amplification by resonators subject to rate-limited nonlinearity of mixed reactive/dissipative character, with particular relevance to superconducting devices. The non-linearity is assumed to…

Mesoscale and Nanoscale Physics · Physics 2022-12-16 Christopher N. Thomas , Stafford Withington , Songyuan Zhao
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