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One of the hallmarks of topological insulators is the correspondence between the value of its bulk topological invariant and the number of topologically protected edge modes observed in a finite-sized sample. This bulk-boundary…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 Ana Silva , Jasper van Wezel

For all-optical communication and information processing, it is necessary to develop all-optical logic gates based on photonic structures that can directly perform logic operations. All-optical logic gates have been demonstrated based on…

We developed an open-source scalar wave transport model to estimate the generalized scattering matrix (S matrix) of a disordered medium in the diffusion regime. Here, the term generalization refers to the incorporation of evanescent wave…

Optics · Physics 2024-04-17 Michael Raju , Baptiste Jayet , Stefan Andersson-Engels

It is now well-established that photonic systems can exhibit topological energy bands; similar to their electronic counterparts, this leads to the formation of chiral edge modes which can be used to transmit light in a manner that is…

Mesoscale and Nanoscale Physics · Physics 2016-11-09 Vittorio Peano , Martin Houde , Florian Marquardt , Aashish A. Clerk

We create hybrid topological-photonic localisation of light by introducing concepts from the field of topological matter to that of photonic crystal fiber arrays. S-polarized obliquely propagating electromagnetic waves are guided by…

Modeling the propagation of light through disordered media is central to understanding and controlling wave transport in diverse optical and mesoscopic applications. Here, we present a random matrix simulation framework for modeling the…

Optics · Physics 2026-02-24 Niall Byrnes , Sulagna Dutta , Matthew R. Foreman

We analyze the scattering of elliptically polarized plane waves normally incident at the planar interface between two different materials; we consider two cases: dielectric-dielectric and dielectric-conductor interfaces. The scattering…

Classical Physics · Physics 2011-04-15 M. Martínez-Mares , E. Castaño

The Valley Hall effect provides a popular route to engineer robust waveguides for bosonic excitations such a photons and phonons. The almost complete absence of backscattering in many experiments has its theoretical underpinning in a…

Mesoscale and Nanoscale Physics · Physics 2023-08-17 Tirth Shah , Florian Marquardt , Vittorio Peano

The topology of a power grid affects its dynamic operation and settlement in the electricity market. Real-time topology identification can enable faster control action following an emergency scenario like failure of a line. This article…

Optimization and Control · Mathematics 2017-07-18 Deepjyoti Deka , Saurav Talukdar , Michael Chertkov , Murti Salapaka

Valleytronics using two-dimensional materials opens unprecedented opportunities for information processing with the valley polarizer being a basic building block. Paradigms such as strain engineering, the inclusion of line defects, and the…

Mesoscale and Nanoscale Physics · Physics 2023-06-07 Shrushti Tapar , Bhaskaran Muralidharan

Distribution grids constitute complex networks of lines often times reconfigured to minimize losses, balance loads, alleviate faults, or for maintenance purposes. Topology monitoring becomes a critical task for optimal grid scheduling.…

Optimization and Control · Mathematics 2017-07-24 Guido Cavraro , Vassilis Kekatos , Sriharsha Veeramachaneni

Topological data analysis offers a robust way to extract useful information from noisy, unstructured data by identifying its underlying structure. Recently, an efficient quantum algorithm was proposed [Lloyd, Garnerone, Zanardi, Nat.…

We propose wave and ray approaches for modelling mid- and high- frequency structural vibrations through smoothed joints on thin shell cylindrical ridges. The models both emerge from a simplified classical shell theory setting. The ray model…

Classical Physics · Physics 2016-08-17 Niels Sondergaard , David Chappell

In the search for improved computational capabilities, conventional microelectronic computers are facing various problems arising from the miniaturization and concentration of active electronics devices (1-2). Therefore, researchers have…

Optics · Physics 2025-09-24 Miguel Camacho , Brian Edwards , Nader Engheta

Topological on-chip photonics based on tailored photonic crystals (PhC) that emulate quantum valley Hall effects has recently gained widespread interest due to its promise of robust unidirectional transport of classical and quantum…

Optics · Physics 2020-08-25 S. Arora , T. Bauer , R. Barczyk , E. Verhagen , L. Kuipers

The concepts of topology provide a powerful tool to tailor the propagation and localization of light. While electromagnetic waves have only two polarization states, engineered degeneracies of photonic modes provide novel opportunities…

We report on a non-linear scattering effect that challenges the notion of topological protection for wave packets propagating in chiral edge modes. Specifically, in a Floquet topological system close to resonant driving and with a…

Quantum Gases · Physics 2023-08-30 Benjamin Michen , Jan Carl Budich

More than two decades ago, combinatorial topology was shown to be useful for analyzing distributed fault-tolerant algorithms in shared memory systems and in message passing systems. In this work, we show that combinatorial topology can also…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-05 Armando Castañeda , Pierre Fraigniaud , Ami Paz , Sergio Rajsbaum , Matthieu Roy , Corentin Travers

Topological waveguides supporting quantum valley Hall interfacial states confine waves to interfaces and, due to topological protection, are resistant to backscattering even in the presence of defects. These topological insulators are…

Compact and robust waveguide chips are crucial for new integrated terahertz applications, such as high-speed interconnections between processors and broadband short-range wireless communications. Progress on topological photonic crystals…