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We study the long time behaviour of a nonlinear oscillator subject to a random multiplicative noise with a spectral density (or power-spectrum) that decays as a power law at high frequencies. When the dissipation is negligible, physical…

Chaotic Dynamics · Physics 2009-11-13 Kirone Mallick

The influence of oscillatory perturbations on autonomous strongly nonlinear systems in the plane is investigated. It is assumed that the intensity of perturbations decays with time, and their frequency increases according to a power law.…

Dynamical Systems · Mathematics 2023-10-11 Oskar Sultanov

Planar superconducting resonators are essential components in quantum circuits and highly sensitive sensors. However, their performance is often compromised by magnetic flux penetration, as the interaction of flux quanta and the induced…

Superconductivity · Physics 2026-03-10 J. Baumgarten , N. Lejeune , L. Nulens , I. P. C. Cools , J. Van de Vondel , A. V. Silhanek

In the superclean case the spectrum of vortex core excitations in the presence of disorder is not random but consists of two series of equally-spaced levels. The I-V characteristics of such superconductors displays many interesting…

Superconductivity · Physics 2009-10-31 A. A. Koulakov , A. I. Larkin

Dissipation dilution enables extremely low linear loss in stressed, high-aspect ratio nanomechanical resonators, such as strings or membranes. Here, we report on the observation and theoretical modelling of nonlinear dissipation in such…

Applied Physics · Physics 2021-05-05 Letizia Catalini , Massimiliano Rossi , Eric C. Langman , Albert Schliesser

Motivated by the recent experimental progress in studying conventional and unconventional superconductors in a pump-probe setup, we perform a comprehensive theoretical analysis of the nonlinear response of a diffusive BCS conventional…

Superconductivity · Physics 2024-01-18 Pascal Derendorf , Anatoly F. Volkov , Ilya M. Eremin

Nanosecond near resonant excitation in As50S50 thin films leads to strong nonlinear optical response, i.e. nonlinear absorption coefficient up to 4 x 106 cm/GW and nonlinear refractive index of 8.5 cm2/GW, both of which is the strongest…

Optics · Physics 2020-06-24 Dipendranath Mandal , Pritam Khan , K. V. Adarsh

The performance of superconducting circuits for quantum computing is limited by materials losses. In particular, coherence times are typically bounded by two-level system (TLS) losses at single photon powers and millikelvin temperatures.…

Ultrathin superconductors of different materials are becoming a powerful platform to find mechanisms for enhancement of superconductivity, exploiting shape resonances in different superconducting properties. Here we evaluate the…

The nonlinear optical properties of semiconductors near an excitonic resonance are theoretically investigated by using the macroscopic J-model [Th. Oestreich and A. Knorr, Phys. Rev. B 48, 17811 (1993); ibid. 50, 5717 (1994)] based on the…

Materials Science · Physics 2012-02-07 Oleksii A. Smyrnov , Fabio Biancalana

We investigate the sideband spectra of a driven nonlinear mode with its eigenfrequency being modulated at a low frequency (< 1 kHz). This additional parametric modulation leads to prominent antiresonance lineshapes in the sideband spectra,…

Classical Physics · Physics 2022-03-01 Fan Yang , Mengqi Fu , Bojan Bosnjak , Robert H. Blick , Yuxuan Jiang , Elke Scheer

We show that highly confined superfluid films are extremely nonlinear mechanical resonators, offering the prospect to realize a mechanical qubit. Specifically, we consider third-sound surface waves, with nonlinearities introduced by the van…

Phase fluctuations in finite thickness layered superconducting films are studied theoretically. The model consists of a set of layers, coupled to each other via a gradient-like term in the phase-only action. It is shown that the effective…

Disordered Systems and Neural Networks · Physics 2010-12-23 Y. Dubi , R. R. Biswas , A. V. Balatsky

Multi-layered structures are widely used in the construction of metamaterial devices to realize various cutting-edge waveguide applications. This paper makes several contributions to the mathematical analysis of subwavelength resonances in…

Analysis of PDEs · Mathematics 2025-04-09 Youjun Deng , Lingzheng Kong , Yongjian Liu , Liyan Zhu

We describe a unified classical approach for analyzing the scattering coefficients of superconducting microwave resonators with a variety of geometries. To fill the gap between experiment and theory, we also consider the influences of small…

We have performed spectroscopic measurements of a superconducting qubit dispersively coupled to a nonlinear resonator driven by a pump microwave field. Measurements of the qubit frequency shift provide a sensitive probe of the intracavity…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 F. R. Ong , M. Boissonneault , F. Mallet , A. Palacios-Laloy , A. Dewes , A. C. Doherty , A. Blais , P. Bertet , D. Vion , D. Esteve

Losses in superconducting planar resonators are presently assumed to predominantly arise from surface-oxide dissipation, due to experimental losses varying with choice of materials. We model and simulate the magnitude of the loss from…

Amorphous dielectric materials have been known to host two-level systems (TLSs) for more than four decades. Recent developments on superconducting resonators and qubits enable detailed studies on the physics of TLSs. In particular,…

Quantum Physics · Physics 2021-09-23 J. H. Béjanin , C. T. Earnest , A. S. Sharafeldin , M. Mariantoni

Superconducting thin film resonators employing strip geometries show great promise in rf/microwave applications due to their low loss and compact nature. However, their functionality is limited by nonlinear effects at elevated rf/microwave…

Superconductivity · Physics 2012-05-07 Alexander P. Zhuravel , Cihan Kurter , Alexey V. Ustinov , Steven M. Anlage

In this paper, we present a mathematical study of wave scattering by a hard elastic obstacle embedded in a soft elastic body in three dimensions. Our contributions are threefold. First, we characterize subwavelength resonances using the…

Analysis of PDEs · Mathematics 2025-01-14 Bochao Chen , Yixian Gao , Peijun Li , Yuanchun Ren
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