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We investigate few-boson systems with resonant interactions in a narrow harmonic trap within an effective theory framework. The size of the model space is identified with the effective theory cutoff. In the universal regime, the…

Quantum Gases · Physics 2013-06-05 S. Tölle , H. -W. Hammer , B. Ch. Metsch

Tests of the standard model and its hypothetical extensions require precise theoretical predictions for processes involving massive, unstable particles. It is well-known that ordinary weak-coupling perturbation theory breaks down due to…

High Energy Physics - Phenomenology · Physics 2010-04-05 M. Beneke , A. P. Chapovsky , A. Signer , G. Zanderighi

Efficient numerical methods are required for the design of optimised devices. In magnonics, the primary computational tool is micromagnetic simulations, which solve the Landau-Lifshitz equation discretised in time and space. However, their…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 Wojciech Śmigaj , Krzysztof Sobucki , Paweł Gruszecki , Maciej Krawczyk

This work provides a mathematical framework for elucidating physical mechanisms for confining waves at subwavelength scales in periodic systems of nonlinear resonators. A discrete approximation in terms of the linear capacitance operator is…

Mathematical Physics · Physics 2025-09-05 Habib Ammari , Jiayu Qiu

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

This paper focuses on the time-harmonic electromagnetic (EM) scattering problem in a general medium which may possess a nontrivial topological structure. We model this by an inhomogeneous and possibly anisotropic medium with embedded…

Analysis of PDEs · Mathematics 2024-08-14 Huaian Diao , Hongyu Liu , Qingle Meng , Li Wang

Acoustic non-reciprocity has been shown to enable a plethora of effects analogous to phenomena seen in quantum physics and electromagnetics, such as immunity from back-scattering and unidirectional band gaps, which could lead to the design…

Pattern Formation and Solitons · Physics 2019-01-23 Samuel P. Wallen , Michael R. Haberman

We develop a classification of perfectly transmitting resonances occuring in effectively one-dimensional optical media which are decomposable into locally reflection symmetric parts. The local symmetries of the medium are shown to yield…

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 Wigner-Smith (WS) time delay matrix relates an acoustic system's scattering matrix to its wavenumber derivative. The entries of the WS time delay matrix can be expressed in terms of energy density-like volume integrals, which cannot be…

Computational Engineering, Finance, and Science · Computer Science 2022-05-26 Utkarsh R. Patel , Yiqian Mao , Jack Hamel , Eric Michielssen

We present a theory which explains how to achieve an enhancement of nonlinear effects in a thin layer of nonlinear medium by involving a planar periodic structure specially designed to bear a trapped-mode resonant regime. In particular, the…

Optics · Physics 2015-12-18 V. Khardikov , P. Mladyonov , S. Prosvirnin , V. Tuz

We analyze the propagation of an incident electromagnetic wave in a purely-time modulated medium. Precisely, we assume that the permeability is unchanged while the permittivity has a multiple-step profile in time and uniformly constant in…

Mathematical Physics · Physics 2023-12-18 Mourad Sini , Haibing Wang , Qingyun Yao

If the duration of the input pulse resonantly interacting with a system is comparable or smaller than the time required for the system to achieve the steady state, transient effects become important. For complex systems, a quantitative…

Optics · Physics 2020-04-23 Michael I. Tribelsky , Andrey E. Miroshnichenko

Many properties of photonic structures rely on band topology characterized by the integer invariants that can change during the topological transitions and give rise to the disorder-robust topological edge, corner, or interface states.…

Applied Physics · Physics 2022-11-30 Leon Shaposhnikov , Denis Sakhno , Daniel A. Bobylev , Maxim A. Gorlach

Temporal coupled-mode theory (CMT) is an acclaimed and widely used theoretical framework for modeling the continuous wave (CW) response and temporal dynamics of any integrated or free-space photonic resonant structure. It was initially…

We present an effective field theory formulation for a class of condensed matter systems with crystalline structures for which some of the discrete symmetries of the underlying crystal survive the long distance limit, up to mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Federico L. Bottesi , Guillermo R. Zemba

The Wigner-Smith (WS) time delay matrix relates a lossless system's scattering matrix to its frequency derivative. First proposed in the realm of quantum mechanics to characterize time delays experienced by particles during a collision,…

Computational Engineering, Finance, and Science · Computer Science 2023-05-17 Utkarsh R. Patel , Yiqian Mao , Eric Michielssen

The propagation of acoustic waves in a poro-elastic medium of infinite extension containing spherical cavities randomly distributed is investigated. The scattering coefficients are computed in the low frequency limit using the sealed pore…

Fluid Dynamics · Physics 2022-06-15 Dossou Gnadjro , Amah D'Almeida , Hervé Franklin

We study the electromagnetic behaviour of dense, spherical clusters made of hundreds of plasmonic nanoparticules under illumination by a plane wave. Using high-precision T-matrix numerical calculations, we compute the multipolar response of…

For over 70 years it has been assumed that scalar wave propagation in (ensemble-averaged) random particulate materials can be characterised by a single effective wavenumber. Here, however, we show that there exist many effective…

Classical Physics · Physics 2019-08-13 Artur Lewis Gower , William J. Parnell , Ian David Abrahams
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