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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

The recent advent of photonic topological insulators has opened the door to using the robustness of topologically protected transport (originated in the domain of condensed matter physics) in optical devices and in quantum simulation.…

If a full band gap closes and then reopens when we continuously deform a periodic system while keeping its symmetry, a topological phase transition usually occurs. A common model demonstrating such a topological phase transition in…

Classical Physics · Physics 2018-11-26 Xin Li , Yan Meng , Xiaoxiao Wu , Sheng Yan , Yingzhou Huang , Shuxia Wang , Weijia Wen

Mechanical topological insulators are well understood for linear and weakly nonlinear systems, however traditional analysis methods break down for strongly nonlinear systems since linear methods can not be applied in that case. We study one…

Applied Physics · Physics 2021-12-01 Joshua R. Tempelman , Kathryn H. Matlack , Alexander F. Vakakis

We present a scheme for coherently manipulating quantum states of photons by incorporating multiple photonic modes in a system with long-range interactions. The presence of nonlocal photon-photon interactions destroys the energy or momentum…

Quantum Physics · Physics 2019-06-11 Fan Yang , Yong-Chun Liu , Li You

We present a unified perspective on symmetry protected topological (SPT) phases in one dimension and address the open question of what characterizes their phase transitions. In the first part of this work we use symmetry as a guide to map…

Strongly Correlated Electrons · Physics 2017-10-17 Ruben Verresen , Roderich Moessner , Frank Pollmann

Driven quantum nonlinear oscillators, while essential for quantum technologies, are generally prone to complex chaotic dynamics that fall beyond the reach of perturbative analysis. By focusing on subharmonic bifurcations of a harmonically…

Quantum Physics · Physics 2023-04-18 Michiel Burgelman , Pierre Rouchon , Alain Sarlette , Mazyar Mirrahimi

A one-dimensional discrete lattice of dimers is known to possess topologically protected edge states when interdimer coupling is stronger than intradimer coupling. Here, we address richer topological properties of photonic superlattices…

Optics · Physics 2018-10-24 Bikashkali Midya , Liang Feng

The propagation path of topologically protected states is bound to the interface between regions with different topology, and as such, the functionality of linear photonic devices leveraging these states is fixed during fabrication. Here,…

Optics · Physics 2025-09-17 Stephan Wong , Simon Betzold , Sven Hofling , Alexander Cerjan

Bound states in the continuum (BICs) are polarization singularities in momentum space whose topological charges (TCs) govern advanced light-matter interactions. While lattice symmetry protects the existence of robust BICs at the…

Optics · Physics 2026-05-19 Keren Wang , Lujun Huang , Wei Wang

Topological photonic systems, with their ability to host states protected against disorder and perturbation, allow us to do with photons what topological insulators do with electrons. Topological photonics can refer to electronic systems…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Marie S. Rider , Samuel J. Palmer , Simon R. Pocock , Xiaofei Xiao , Paloma Arroyo Huidobro , Vincenzo Giannini

Topological phase transitions challenge conventional paradigms in many-body physics by separating phases that are locally indistinguishable yet globally distinct. Using a quantum simulator of interacting erbium atoms in an optical lattice,…

We use an exact solution to the fundamental finite Kronig-Penney model with arbitrary positions and strengths of scattering sites to show that this iconic model can possess topologically non-trivial properties. By using free parameters of…

Quantum Physics · Physics 2019-02-20 Irina Reshodko , Albert Benseny , Judit Romhányi , Thomas Busch

We demonstrate that multiple topological transitions can occur, with high-sensitivity, by continuous change of the geometry of a simple 2D dielectric-frame photonic crystal consisting of circular air-holes. By changing the radii of the…

Optics · Physics 2018-03-01 Xuan Zhu , Hai-Xiao Wang , Changqing Xu , Yun Lai , Jian-Hua Jiang , Sajeev John

The interplay between topology and nonlinearity represents a central challenge in modern physics. Here, we investigate this interplay by considering a synthetic Su-Schrieffer-Heeger lattice with all-to-all nonlocal interactions. We find…

Optics · Physics 2026-01-06 Chong-Xiao Chen , Zheng-Wei Zhou , Han Pu , Xi-Wang Luo

The erratic nature of chaotic behavior is thought to erode the stability of periodic behavior, including topological oscillations. However, we discover that in the presence of chaos, non-trivial topology not only endures but also provides…

Mesoscale and Nanoscale Physics · Physics 2025-07-03 Haydar Sahin , Hakan Akgün , Zhuo Bin Siu , S. M. Rafi-Ul-Islam , Jian Feng Kong , Mansoor B. A. Jalil , Ching Hua Lee

Symmetry protected topological (SPT) states are bulk gapped states with gapless edge excitations protected by certain symmetries. The SPT phases in free fermion systems, like topological insulators, can be classified by the K-theory.…

Strongly Correlated Electrons · Physics 2013-01-08 Xie Chen , Zheng-Cheng Gu , Zheng-Xin Liu , Xiao-Gang Wen

Photonic systems with parity-time (PT) symmetry and topology are attracting considerable attentions. In this work, topological near-zero edge states are studied in PT-symmetric photonic lattice and the results indicate that the near-zero…

Low-decoherence regime plays a key role in constructing multi-particle quantum systems and has therefore been constantly pursued in order to build quantum simulators and quantum computers in a scalable fashion. Quantum error correction and…

Quantum Physics · Physics 2018-10-04 Yao Wang , Xiao-Ling Pang , Yong-Heng Lu , Jun Gao , Zhi-Qiang Jiao , Hao Tang , Xian-Min Jin

We demonstrate that genuinely non-Hermitian topological phases and corresponding topological phase transitions can be naturally realized in monitored quantum circuits, exemplified by the paradigmatic non-Hermitian Su-Schrieffer-Heeger…

Mesoscale and Nanoscale Physics · Physics 2022-08-26 Christoph Fleckenstein , Alberto Zorzato , Daniel Varjas , Emil J. Bergholtz , Jens H. Bardarson , Apoorv Tiwari
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