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Photonic crystals allow unprecedented control over how light is confined, propagates, and interacts with matter. Their development has had a transformative impact on optics and physics, and they remain the central platform for both…

Topological insulators are materials that conduct on the surface and insulate in their interior due to non-trivial topological order. The edge states on the interface between topological (non-trivial) and conventional (trivial) insulators…

The use of virtually lossless topologically isolated edge states may lead to a novel class of thresholdless lasers operating without inversion. One needs however to understand if topological states may be coupled to external radiation and…

Mesoscale and Nanoscale Physics · Physics 2016-06-01 Laura Pilozzi , Claudio Conti

Optical systems obeying non-Hermitian dynamics have been the subject of intense and concerted investigation over the last two decades owing to their broad implications in photonics, acoustics, electronics as well as atomic physics. A vast…

Optics · Physics 2023-05-17 Abhishek Mondal , Shailja Sharma , Ritwick Das

Topological states of matter are robust quantum phases, characterised by propagating or localised edge states in an insulating bulk. Topological boundary states can be triggered by various mechanisms, for example by strong spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 S. E. Freeney , J. J. van den Broeke , A. J. J. Harsveld van der Veen , I. Swart , C. Morais Smith

We theoretically study topological laser operation in a bosonic Harper-Hofstadter model featuring a saturable optical gain. Crucial consequences of the chirality of the lasing edge modes are highlighted, such as a sharp dependence of the…

Optics · Physics 2019-12-11 Matteo Seclì , Massimo Capone , Iacopo Carusotto

One-dimensional crystals serve as a versatile platform for engineering nontrivial states, which can be easily explored in transport configurations. In this work, we analyze the properties of a periodic structure composed of an H-shaped unit…

Quantum Physics · Physics 2026-03-19 Sofía Pinto , P. A. Orellana , Sergio Bravo

We investigate the self-organization of strongly interacting particles confined in 1D and 2D. We consider hardcore bosons in spinless Hubbard lattice models with short-range interactions. We show that many-body states with topological…

Strongly Correlated Electrons · Physics 2019-09-12 Ioannis Kleftogiannis , Ilias Amanatidis

Photonic topological insulators supporting unidirectional topologically protected edge states represent attractive platform for realization of disorder- and backscattering-immune transport of edge excitations in both linear and nonlinear…

We present a scheme to explicitly construct and classify general topological states jointly protected by an onsite symmetry group and a spatial symmetry group. We show that all these symmetry protected topological states can be…

Mesoscale and Nanoscale Physics · Physics 2020-01-03 Zhida Song , Sheng-Jie Huang , Yang Qi , Chen Fang , Michael Hermele

Topology manifesting in many branches of physics deepens our understanding on state of matters. Topological photonics has recently become a rapidly growing field since artificial photonic structures can be well designed and constructed to…

Quantum Physics · Physics 2019-05-22 Yao Wang , Yong-Heng Lu , Feng Mei , Jun Gao , Zhan-Ming Li , Hao Tang , Shi-Liang Zhu , Suotang Jia , Xian-Min Jin

Inspired from electronic systems, topological photonics aims to engineer new optical devices with robust properties. In many cases, the ideas from topological phases protected by internal symmetries in fermionic systems are extended to…

Materials Science · Physics 2023-08-02 Shupeng Xu , Yuhui Wang , Ritesh Agarwal

In this paper, the photonic quantum spin Hall effect (PQSHE) is realized in dielectric two-dimensional (2D) honeycomb lattice photonic crystal (PC) by stretching and shrinking the honeycomb unit cell. Combining two honeycomb lattice PCs…

Optics · Physics 2021-02-26 Yuchen Peng , Bei Yan , Jianlan Xie , Exian Liu , Hang Li , Rui Ge , Feng Gao , Jianjun Liu

We analyze the robustness of corner modes in topological photonic crystals, taking a $C_6$-symmetric breathing honeycomb photonic crystal as an example. First, we employ topological quantum chemistry and Wilson loop calculations to…

We numerically study the first and the second order topological states of electromagnetic (EM) wave in the three-dimensional (3D) woodpile photonic crystal (PhC). The recent studies on 3D PhCs have mainly focused on the observation of the…

In analogous to the Su-Schrieffer-Heeger (SSH) model, one-dimensional (1D) electromagnetic (EM) crystals can exhibit nontrivial topological properties. In particular, when a nontrivial EM crystal is in contact with its trivial counterpart,…

Optics · Physics 2023-01-11 C. Liu , H. C. Ong

Topological photonic systems support edge states that are robust against disorder and perturbation. Depending on the symmetry and dimensionality of the bulk systems, different edge states emulating soliton, quantum integer and quantum spin…

Optics · Physics 2025-12-17 Aidan H. Y. Chong , Y. Q. Liu , C. Liu , Daniel H. C. Ong

Topological photonics provides a novel platform to explore topological physics beyond traditional electronic materials and stimulates promising applications in topologically protected light transport and lasers. Classical degrees of freedom…

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

Topological edge states typically arise at the boundaries of topologically nontrivial structures or at interfaces between regions with differing topological invariants. When topological systems are extended into the nonlinear regime, linear…