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In this paper, we investigate wave scattering by a pair of closely spaced inclusions embedded in a homogeneous medium, characterized by a high contrast physical parameters. The system is modeled by the two-dimensional Helmholtz equation. We…

Analysis of PDEs · Mathematics 2025-11-21 Hongjie Dong , Hongjie Li , Longjuan Xu

The Minneart resonance is a low frequency resonance in which the wavelength is much larger than the size of the resonators. It is interesting to study the interaction between two adjacent bubbles when they are brought close together.…

Analysis of PDEs · Mathematics 2023-05-24 Haigang Li , Yan Zhao

In this paper, we investigate a resonant system comprising $N$ closely packed spherical resonators ($N>2$). We analyze how the spatial arrangement of these resonators influences the distribution of resonant frequencies, focusing on…

Analysis of PDEs · Mathematics 2025-06-11 Haigang Li , Junhua Zhang

The aim of this paper is to understand the behaviour of a large number of coupled subwavelength resonators. We use layer potential techniques in combination with numerical computations to study the acoustic pressure field due to scattering…

Analysis of PDEs · Mathematics 2019-10-03 Habib Ammari , Bryn Davies

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

The coupling of micro- or nanomechanical resonators via a shared substrate is intensively exploited to built systems for fundamental studies and practical applications. So far, the focus has been on devices operating in the kHz regime with…

Applied Physics · Physics 2021-08-30 Hendrik Kähler , Daniel Platz , Silvan Schmid

We present an experimental feasible scheme to synthesize two-mode continuous-variable entangled states of two superconducting resonators that are interconnected by two gap-tunable superconducting qubits. We show that, with each artificial…

Quantum Physics · Physics 2015-06-05 Peng-Bo Li , Shao-Yan Gao , Fu-Li Li

Mechanical resonators that possess coupled modes with harmonic frequency relations have recently sparked interest due to their suitability for controllable energy transfer and non-Hermitian dynamics. Here, we show coupling between high…

High frequency mechanical resonators subjected to low thermal phonon occupancy are easier to be prepared to the ground state by direct cryogenic cooling. Their extreme stiffness, however, poses a significant challenge for external…

Optics · Physics 2016-09-21 Xu Han , Chang-Ling Zou , Hong X. Tang

We study the effect of a time-dependent driving field with a large amplitude on a system composed of two coupled qubits (two-level systems). Using the rotating wave approximation (RWA) makes it possible to find simple conditions for…

Mesoscale and Nanoscale Physics · Physics 2014-10-07 A. M. Satanin , M. V. Denisenko , Sahel Ashhab , Franco Nori

In the present article the classical problem of electromagnetic scattering by a single homogeneous sphere is revisited. Main focus is the study of the scattering behavior as a function of the material contrast and the size parameters for…

Classical Physics · Physics 2017-06-28 Dimitrios C. Tzarouchis , Pasi Ylä-Oijala , Ari Sihvola

Coupled superconducting transmission line resonators have applications in quantum information processing and fundamental quantum mechanics. A particular example is the realization of fast beam splitters, which however is hampered by…

Mesoscale and Nanoscale Physics · Physics 2016-08-11 M. Haeberlein , D. Zueco , P. Assum , T. Weißl , E. Hoffmann , B. Peropadre , J. J. García-Ripoll , E. Solano , F. Deppe , A. Marx , R. Gross

We consider wave scattering from a system of highly contrasting resonators with time-modulated material parameters. In this setting, the wave equation reduces to a system of coupled Helmholtz equations that models the scattering problem. We…

Mathematical Physics · Physics 2024-01-05 Habib Ammari , Jinghao Cao , Erik Orvehed Hiltunen , Liora Rueff

Using a combination of multipole methods and the method of matched asymptotics, we present a solution procedure for acoustic plane wave scattering by a single Helmholtz resonator in two dimensions. Closed-form representations for the…

Fluid Dynamics · Physics 2022-04-07 M. J. A. Smith , P. A. Cotterill , D. Nigro , W. J. Parnell , I. D. Abrahams

We study sequential scattering in superradiance from a Bose-Einstein condensate pumped by a two-frequency laser beam. We find that the distribution of atomic side modes presents highly different patterns for various frequency difference…

Quantum Physics · Physics 2009-11-13 Fan Yang , Xiaoji Zhou , Juntao Li , Yuankai Chen , Lin Xia , Xuzong Chen

We investigate the electromagnetic response of asymmetric broadside coupled split ring resonators (ABC-SRRs) as a function of the relative in-plane displacement between the two component SRRs. The asymmetry is defined as the difference in…

It is shown that in a rotating compressible fluid the resonant frequencies (measured in a system of reference rotating together with the medium) for the azimuthally running acoustic waves are split into two components. The received results…

Fluid Dynamics · Physics 2007-05-23 A. N. Tarasenko , A. A. Sokolsky

This paper presents the theory and key experimental findings for an investigation into the generation of bimodal resonance (frequency splitting) phenomena in mutually over-coupled inductive sensors, and its exploitation to evaluate relative…

Because of their small size, low loss, and compatibility with magnetic fields and elevated temperatures, surface acoustic wave resonators hold significant potential as future quantum interconnects. Here, we design, fabricate, and…

Mesoscale and Nanoscale Physics · Physics 2024-01-12 Yadav P. Kandel , Suraj Thapa Magar , Arjun Iyer , William H. Renninger , John M. Nichol

We present a scheme by which projective homodyne measurement of a microwave resonator can be used to generate entanglement between two superconducting charge qubits coupled to this resonator. The non-interacting qubits are initialised in a…

Quantum Physics · Physics 2009-09-29 D. A. Rodrigues , C. E. A. Jarvis , B. L. Györffy , T. P. Spiller , J. F. Annett
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