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We study microwave response of a Josephson parametric oscillator consisting of a superconducting transmission-line resonator with an embedded dc-SQUID. The dc-SQUID allows to control the magnitude of a Kerr nonlinearity over the ranges…

Quantum Physics · Physics 2022-02-25 T. Yamaji , S. Kagami , A. Yamaguchi , T. Satoh , K. Koshino , H. Goto , Z. R. Lin , Y. Nakamura , T. Yamamoto

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

We present a theoretical and experimental study of superconducting ring resonators as an initial step toward their implementation in superconducting electronics and quantum technologies, with promising applications including superconducting…

Superconductivity · Physics 2026-01-16 Zhenyuan Sun , Stafford Withington , Christopher Thomas , Songyuan Zhao

Thin elastic sheets supported on compliant media form wrinkles under lateral compression. Since the lateral pressure is coupled to the sheet's deformation, varying it periodically in time creates a parametric excitation. We study the…

Soft Condensed Matter · Physics 2021-06-25 Haim Diamant

Entangled pairs of microwave photons are commonly produced in the narrow frequency band of a resonator, which represents a modified vacuum density of states. We use a broadband, semi-infinite transmission line terminated by a…

Quantum Physics · Physics 2020-04-16 B. H. Schneider , A. Bengtsson , I. M. Svensson , T. Aref , G. Johansson , Jonas Bylander , P. Delsing

We report the results of a detailed numerical analysis of a real resonant spherical gravitational wave antenna operating with six resonant two-mode capacitive transducers read out by superconducting quantum interference devices (SQUID)…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Luciano Gottardi

We show that the nonlinear stage of modulational instability induced by parametric driving in the {\em defocusing} nonlinear Schr\"odinger equation can be accurately described by combining mode truncation and averaging methods, valid in the…

Pattern Formation and Solitons · Physics 2016-07-06 M. Conforti , A. Mussot , A. Kudlinski , S. Rota-Nodari , G. Dujardin , S. De Bievre , A. Armaroli , S. Trillo

We study the dynamics of the longitudinal collective mode in an unconventional superconductor. For concreteness, we assume that the superconductor is described by a $d$-wave order parameter with $d_{x^2-y^2}$ symmetry. After the…

Superconductivity · Physics 2025-11-07 Samuel Awelewa , Maxim Dzero

Networks of nonlinear resonators offer intriguing perspectives as quantum simulators for non-equilibrium many-body phases of driven-dissipative systems. Here, we employ photon correlation measurements to study the radiation fields emitted…

The threshold of triply resonant optical parametric oscillation in a semiconductor microcavity in the strong coupling regime is investigated. Because of the third-order nature of the excitonic nonlinearity, a variety of different behaviours…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 M. Wouters , I. Carusotto

We report the confinement of an optomechanical micro-oscillator in a squeezed thermal state, obtained by parametric modulation of the optical spring. We propose and implement an experimental scheme based on parametric feedback control of…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 A. Pontin , M. Bonaldi , A. Borrielli , F. S. Cataliotti , F. Marino , G. A. Prodi , E. Serra , F. Marin

When strongly pumped at twice their resonant frequency, non-linear resonators develop a high-amplitude intracavity field, a phenomenon known as parametric self-oscillations. The boundary over which this instability occurs can be extremely…

By identifying the similarities between the coupled-wave equations and the parametrically driven nonlinear Schr\"odinger equation, we unveil the existence condition of the quadratic soliton mode-locked degenerate optical parametric…

Optics · Physics 2020-05-26 Mingming Nie , Shu-Wei Huang

Recent advances in the study of synthetic dimensions revealed a possibility to employ the frequency space as an additional degree of freedom which allows for investigating and exploiting higher-dimensional phenomena in a priori…

Pattern Formation and Solitons · Physics 2020-08-19 Aleksandr K. Tusnin , Alexey M. Tikan , Tobias J. Kippenberg

Recent demonstrations of ultracoherent nanomechanical resonators introduce the prospect of new protocols for solid state sensing applications. Here, we propose to use two coupled ultracoherent resonator modes on a Si$_3$N$_4$ membrane for…

Applied Physics · Physics 2020-07-22 J. Košata , O. Zilberberg , Christian L. Degen , R. Chitra , A. Eichler

We introduce a new method for reducing phase noise in oscillators, thereby improving their frequency precision. The noise reduction device consists of a pair of coupled nonlinear resonating elements that are driven parametrically by the…

Mesoscale and Nanoscale Physics · Physics 2012-07-18 Eyal Kenig , M. C. Cross , Ron Lifshitz , R. B. Karabalin , L. G. Villanueva , M. H. Matheny , M. L. Roukes

We develop a stoichiometric SiN membrane-based optoelectromechanical system, in which the properties of the mechanical resonator can be dynamically controlled by the piezoelectric actuation. The mode splitting is observed in the mechanical…

Applied Physics · Physics 2018-10-04 Shuhui Wu , Jiteng Sheng , Xiaotian Zhang , Yuelong Wu , Haibin Wu

We study the vibrational motion of membrane resonators upon strong drive in the strongly nonlinear regime. By imaging the vibrational state of rectangular siliconnitride membrane resonators and by analyzing the frequency response using…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 Fan Yang , Felix Rochau , Jana Huber , Alexandre Brieussel , Gianluca Rastelli , Eva M. Weig , Elke Scheer

Scanning Superconducting Quantum Interference Device (SQUID) Susceptometry simultaneously images the local magnetic fields and susceptibilities above a sample with sub-micron spatial resolution. Further development of this technique…

Superconductivity · Physics 2020-01-01 Samantha I Davis , John R. Kirtley , Kathryn A. Moler

Through experiments and numerical simulations we explore the behavior of rf SQUID (radio frequency superconducting quantum interference device) metamaterials, which show extreme tunability and nonlinearity. The emergent electromagnetic…

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