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Topological properties of photonic structures described by Hamiltonian matrices have been extensively studied in recent years. Photonic systems are often open systems, and their coupling with the environment is characterized by scattering…

We give a self-contained and enriched review about topology properties in the rapidly growing field of topological states of matter (TSM). This review is mainly focus on the beautiful interplay of topology mathematics and condensed matter…

Mathematical Physics · Physics 2013-09-10 Chunbo Zhao

We study the problem of localizing a configuration of points and planes from the collection of point-to-plane distances. This problem models simultaneous localization and mapping from acoustic echoes as well as the notable "structure from…

Computational Geometry · Computer Science 2020-06-24 Miranda Krekovic , Ivan Dokmanic , Martin Vetterli

In artificial-intelligence-aided signal processing, existing deep learning models often exhibit a black-box structure, and their validity and comprehensibility remain elusive. The integration of topological methods, despite its relatively…

Machine Learning · Computer Science 2023-11-28 Pingyao Feng , Siheng Yi , Qingrui Qu , Zhiwang Yu , Yifei Zhu

We demonstrate the spontaneous formation of acoustic black holes in exciton-polariton condensates triggered by discontinuous Riemann-type initial conditions. Starting from a quasi-conservative Gross-Pitaevskii model, we show that nonlinear…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Junhui Cao , Jinling Wang , Kirill Bazarov , Chenqi Jin , Huijun Li , Anton Nalitov , Alexey Kavokin

Discrete symmetries are spatially ubiquitous but are often hidden in internal states of systems where they can have especially profound consequences. In this work we create and verify exotic magnetic phases of atomic spinor Bose-Einstein…

Quantum Gases · Physics 2022-08-11 Y. Xiao , M. O. Borgh , A. A. Blinova , T. Ollikainen , J. Ruostekoski , D. S. Hall

The role of the acoustic continuum associated with compact sources in the Sun's interior wave field is explored for a simple polytropic model. The continuum produces a near-field acoustic structure -- the so-called `acoustic jacket' -- that…

Solar and Stellar Astrophysics · Physics 2015-06-15 Paul S. Cally

Topological insulators are currently of considerable interest due to peculiar electronic properties originating from helical states on their surfaces. Here we demonstrate that the sound excited by helical particles on surfaces of…

Mesoscale and Nanoscale Physics · Physics 2013-11-08 Sergey Smirnov

Topological acoustic and elastic waves have recently emerged as an exciting interdisciplinary field which is still mainly focused on low-dimensional structures and model systems. Here we demonstrate numerically an elastic-wave analogue of…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 Zhan Xiong , Hai-Xiao Wang , Jinjie Shi , Jie Luo , Yun Lai , Ming-Hui Lu , Jian-Hua Jiang

We construct algorithms and topological invariants that allow us to distinguish the topological type of a surface, as well as functions and vector fields for their topological equivalence. In the first part (arXiv:2501.15657), we discused…

Dynamical Systems · Mathematics 2025-02-04 Alexandr Prishlyak

Acoustics recently became a versatile platform for discovering novel physical effects and concepts at a relatively simple technological level. On this way, single resonators and the structure of their resonant modes play a central role and…

Localized point sources (monopoles) in an acoustical domain are implemented to a three dimensional non-singular Helmholtz boundary element method in the frequency domain. It allows for the straightforward use of higher order surface…

Numerical Analysis · Mathematics 2023-05-04 Qiang Sun

Topologically protected gapless edge/surface states are phases of quantum matter which behave as massless Dirac fermions, immunizing against disorders and continuous perturbations. Recently, a new class of topological insulators (TIs) with…

Materials Science · Physics 2020-09-30 Baizhan Xia , Shengjie Zheng , Liang Tong , Junrui Jiao , Guiju Duan , Dejie Yu

Acoustic trapping uses forces exerted by sound waves to transport small objects along specified trajectories in three dimensions. The structure of the acoustic force landscape is governed by the amplitude and phase profiles of the sound's…

Soft Condensed Matter · Physics 2023-12-08 Mia C. Morrell , Julianne Lee , David G. Grier

Acoustic systems that are without limitations imposed by the Fermi level have been demonstrated as significant platform for the exploration of fruitful topological phases. By surrounding the nontrivial domain with trivial "environment", the…

Applied Physics · Physics 2021-06-30 An-Yang Guan , Zhang-Zhao Yang , Xin-Ye Zou , Jian-Chun Cheng

A four-dimensional universe, arising from a flux compactification of Type IIB string theory, contains scalar fields with a potential determined by topological and geometric parameters of the internal -hidden- dimensions. We show that…

Astrophysics · Physics 2007-05-23 Joan Simon , Raul Jimenez , Licia Verde , Per Berglund , Vijay Balasubramanian

Topological concepts have been at the forefront of materials research in recent years, driving a revolution in our understanding of the response of quantum materials and enabling new ways to manipulate light and sound in topological…

Electric dark spots are point singularities at which the electric field amplitude vanishes. These singularities usually emerge in real space accidentally and are unstable due to the vectorial property of the electric field. In this paper,…

Optics · Physics 2024-07-24 Tong Fu , Qing Tong , Shiqi Jia , Shubo Wang

The articulatory geometric configurations of the vocal tract and the acoustic properties of the resultant speech sound are considered to have a strong causal relationship. This paper aims at finding a joint latent representation between the…

Audio and Speech Processing · Electrical Eng. & Systems 2020-10-02 Pramit Saha , Sidney Fels

Electromagnetic multipoles have been broadly adopted as a fundamental language throughout photonics, of which general features such as radiation patterns and polarization distributions are generically known, while their singularities and…

Optics · Physics 2019-04-22 Weijin Chen , Yuntian Chen , Wei Liu
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