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Topological protection offers a robust solution to the challenges of noise and loss in physical systems. By integrating topological physics into optics, loading and encoding quantum states into topological invariants can provide resilience…

Quantum Physics · Physics 2025-07-03 Haoqi Zhao , Yichi Zhang , Isaac Nape , Shuang Wu , Yaoyang Ji , Chenjie Zhang , Yijie Shen , Andrew Forbes , Liang Feng

Recent progress in understanding the topological properties of condensed matter has led to the discovery of time-reversal invariant topological insulators. Because of limitations imposed by nature, topologically non-trivial electronic order…

We investigate the topological properties of reflection zeros of three-layer structures consisting of a dielectric layer sandwiched between two metal layers, which can be used as optical differentiators. We show that the reflection zeros…

Charge separation properties, that is the ability of a chromophore, or a chromophore/semiconductor interface, to separate charges upon light absorption, are crucial characteristics for an efficient photovoltaic device. Starting from this…

Chemical Physics · Physics 2019-12-05 Thibaud Etienne , Mariachiara Pastore

There has been a significant effort to design nanophotonic structures that process images at the speed of light. A prototypical example is in edge detection, where photonic-crystal-, metasurface-, and plasmon-based designs have been…

Optics · Physics 2021-07-26 Wenjin Xue , Owen D. Miller

Two-dimensional photonic crystals made of six air holes on a core-shell dielectric material has been proposed to study the newly emerged photonic quantum spin Hall insulator. Specifically, radii modification of the air holes and core-shell…

Applied Physics · Physics 2021-06-02 J. Hajivandi , H. Kurt

On-demand, switchable phase transitions between topologically non-trivial and trivial photonic states are demonstrated. Specifically, it is shown that integration of a 2D array of coupled ring resonators within a thermal heater array…

Transformers have revolutionized performance in Natural Language Processing and Vision, paving the way for their integration with Graph Neural Networks (GNNs). One key challenge in enhancing graph transformers is strengthening the…

Machine Learning · Computer Science 2026-01-09 Yun Young Choi , Sun Woo Park , Minho Lee , Youngho Woo

Topological phase transitions in condensed matter systems have shown extremely rich physics, unveiling such exotic states of matter as topological insulators, superconductors and superfluids. Photonic topological systems open a whole new…

Topological operations have the merit of achieving certain goals without requiring accurate control over local operational details. To date, topological operations have been used to control geometric phases, and have been proposed as a…

Optics · Physics 2016-09-13 H. Xu , D. Mason , L. Jiang , J. G. E. Harris

Topological photonics provides a robust and flexible platform for controlling light, enabling functionalities such as backscattering-immune edge transport and slow-light propagation. In this work, we design and characterize photonic…

Optics · Physics 2025-05-12 Ondřej Novák , Martin Veis , Gervasi Herranz

Topological matter and topological optics have been studied in many systems, with promising applications in materials science and photonics technology. These advances motivate the study of the interaction between topological matter and…

Quantum Physics · Physics 2021-04-28 Wei Nie , Tao Shi , Franco Nori , Yu-xi Liu

Topological photonics have been garnering widespread interest in engineering the flow of light with topological ideas. Strikingly, the recent introduction of higher-order topological insulators has generalized the fundamental framework of…

Optics · Physics 2025-05-13 Shengqun Guo , Wendi Huang , Feng Tian , Yufei Zhou , Yilan Wang , Taojie Zhou

We analyze the magneto-optical conductivity (and related magnitudes like transmittance and Faraday rotation of the irradiated polarized light) of some elemental two-dimensional Dirac materials of group IV (graphene analogues, buckled…

Mesoscale and Nanoscale Physics · Physics 2024-03-20 M. Calixto , A. Mayorgas , N. A. Cordero , E. Romera , O. Castaños

The hallmark feature of topological insulators renders edge transport virtually impervious to scattering at defects and lattice disorder. In our work, we experimentally demonstrate a topological system, using a photonic platform, in which…

In this paper, we propose a new two-dimensional directional discrete wavelet transform that can decompose an image into 12 multiscale directional edge components. The proposed transform is designed in a fully discrete setting and thus is…

Signal Processing · Electrical Eng. & Systems 2021-12-03 Kensuke Fujinoki , Keita Ashizawa

This paper proposes a quantitative description of the low energy edge states at the interface between two-dimensional topological insulators. They are modeled by continuous Hamiltonians as systems of Dirac equations that are amenable to a…

Mathematical Physics · Physics 2018-08-16 Guillaume Bal

Many non-iterative imaging algorithms require a large number of incident directions. Topological derivative-based imaging techniques can alleviate this problem, but lacks a theoretical background and a definite means of selecting the…

Numerical Analysis · Mathematics 2018-09-18 Won-Kwang Park

In the two-dimensional case the transition between ordinary and topological insulator states can be described by a massive Dirac model with the mass term changing its sign at the transition point. We theoretically investigate how such a…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 G. Tkachov , E. M. Hankiewicz

Topological Insulator-based devices can transport electrons/photons at the surfaces of materials without any back reflections, even in the presence of obstacles. Topological properties have recently been studied using non-reciprocal…

Optics · Physics 2016-11-03 Babak Bahari , Ricardo Tellez-Limon , Boubacar Kanté