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We formulate a model for the steady state response of a nonlinear quantum oscillator structure, such as those used in a variety of superconducting qubit experiments, when excited by a steady, but not necessarily small, ac tone. We show that…

Quantum Physics · Physics 2015-05-30 David P. DiVincenzo , John A. Smolin

Most mechanical resonators are treated as simple linear oscillators. Nonlinearity in the resonance behavior of nanoelectromechanical systems (NEMS) has only lately attracted significant interest. Most recently, cubic-order nonlinearity has…

Mesoscale and Nanoscale Physics · Physics 2017-03-10 Madhav Kumar , Bhaskar Choubey , Harish Bhaskaran

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

We experimentally study the behavior of a parametrically pumped nonlinear oscillator, which is based on a superconducting \lambda /4 resonator, and is terminated by a flux-tunable SQUID. We extract parameters for two devices. In particular,…

We consider finite frequency noise in a mesoscopic system with arbitrary interactions, connected to many terminals kept at finite electrochemical potentials. We show that the excess noise, obtained by subtracting the noise at zero voltage…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Ines Safi

In the context of electromagnetism and nonlinear optical interactions damping is generally introduced as a phenomenological, viscous term that dissipates energy, proportional to the temporal derivative of the polarization. Here, we follow…

The measurement process is introduced in the dynamics of Josephson devices exhibiting quantum behaviour in a macroscopic degree of freedom. The measurement is shown to give rise to a dynamical damping mechanism whose experimental…

Quantum Physics · Physics 2009-10-30 Lorenza Viola , Roberto Onofrio , Tommaso Calarco

The flow of water in carbon nanochannels has defied understanding thus far, with accumulating experimental evidence for ultra-low friction, exceptionally high water flow rates, and curvature-dependent hydrodynamic slippage. These unique…

Mesoscale and Nanoscale Physics · Physics 2022-02-08 Nikita Kavokine , Marie-Laure Bocquet , Lydéric Bocquet

While obtaining theoretical predictions for dissipation during sliding motion is a difficult task, one regime that allows for analytical results is the so-called noncontact regime, where a probe is weakly interacting with the surface over…

Materials Science · Physics 2021-12-08 Miru Lee , Richard L. C. Vink , Cynthia A. Volkert , Matthias Krüger

We investigate the effect of interacting quantum phase slips on persistent current and its fluctuations in ultrathin superconducting nanowires and nanorings pierced by the external magnetic flux. We derive the effective action for these…

Mesoscale and Nanoscale Physics · Physics 2013-09-02 Andrew G. Semenov , Andrei D. Zaikin

Controllable nonlinear quantum interactions are a much sought after target for modern quantum technologies. They are typically difficult and costly to engineer for bespoke purposes. However controllable nonlinearities may have always been…

Quantum Physics · Physics 2025-11-25 Luca Ornigotti , Darren W. Moore , Radim Filip

We report the phenomenon of coherent super decay, where a linear sum of several damped oscillators can collectively decay much faster than the individual ones in the first stage, followed by stagnating ones after more than 90 percent of the…

Applied Physics · Physics 2018-12-04 Ka Yan Au Yeung , Brian Yang , Liang Sun , Kehang Bai , Z. Yang

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

We consider a superconducting loop with two weak links that encloses a magnetic flux. The weak links are unequal and are treated as Josephson junctions with non-sinusoidal phase dependence. We devise a model that takes into account the…

Superconductivity · Physics 2007-05-23 Jorge Berger

We derive the nonlinear fractional surface wave equation that governs compression waves at an interface that is coupled to a viscous bulk medium. The fractional character of the differential equation comes from the fact that the effective…

Fluid Dynamics · Physics 2017-11-29 Julian Kappler , Shamit Shrivastava , Matthias F. Schneider , Roland R. Netz

Nonlinear optical phenomena play important roles in the vast emerging fields of micro- and nano-technology. This paper describes the general characteristics of nonlinear optical materials and systems, with a focus on parametric…

Optics · Physics 2024-10-08 Masud Mansuripur

This study shows that typical pendulum dynamics is far from the simple equation of motion presented in textbooks. A reasonably complete damping model must use nonlinear terms in addition to the common linear viscous expression. In some…

Classical Physics · Physics 2007-05-23 Randall D. Peters

Non-linear effects on driven oscillations are important in many fields of physics, ranging from applied mechanics to optics. They are instrumental for quantum applications. A limitation is that the non-linearities known up to now are…

Mesoscale and Nanoscale Physics · Physics 2011-06-22 A. M. Hriscu , Yu. V. Nazarov

The fluxonium qubit has arisen as one of the most promising candidate devices for implementing quantum information in superconducting devices, since it is both insensitive to charge noise (like flux qubits) and insensitive to flux noise…

Mesoscale and Nanoscale Physics · Physics 2015-07-20 Samuele Spilla , Fabian Hassler , Anna Napoli , Janine Splettstoesser

We calculate the damping of excitations due to four-fermionic interaction in the case of two-dimensional superconductor with nodes in the spectrum. At zero temperature and low frequencies it reveals gapless $\omega^3$ behavior at the nodal…

Condensed Matter · Physics 2010-05-19 M. L. Titov , A. G. Yashenkin , D. N. Aristov
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