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We describe an experimental setup for imaging topologically protected Floquet edge states using ultracold bosons in an optical lattice. Our setup involves a deep two dimensional optical lattice with a time dependent superlattice that…

Quantum Gases · Physics 2015-06-19 Matthew Reichl , Erich Mueller

The quantum anomalies at the edges correspond to the topological phases in the system, and the chiral edge states can reflect bulk bands' topological properties. In this paper, we demonstrate a simulation of Floquet system's chiral edge…

Quantum Gases · Physics 2020-08-11 Zhongcheng Yu , Jinyuan Tian , Fansu Wei , Xuzong Chen , Xiaoji Zhou

Different from the chiral edge states, antichiral edge states propagating in the same direction on the opposite edges are theoretically proposed based on the modified Haldane model, which is recently experimentally realized in photonic…

Mesoscale and Nanoscale Physics · Physics 2021-08-10 Xiaoyu Cheng , Jun Chen , Lei Zhang , Liantuan Xiao , Suotang Jia

Topological edge states form at the edges of periodic materials with specific degeneracies in their modal spectra, such as Dirac points, under the action of effects breaking certain symmetries of the system. In particular, in Floquet…

We present Floquet fractal topological insulators: photonic topological insulators in a fractal-dimensional lattice consisting of helical waveguides. The helical modulation induces an artificial gauge field and leads to the…

Optics · Physics 2021-04-09 Zhaoju Yang , Eran Lustig , Yaakov Lumer , Mordechai Segev

One-way edge states at the surface of photonic topological insulators are of significant interest for communications, nonlinear and quantum optics. Moreover, when reciprocity is broken in a photonic topological insulator, these states…

Optics · Physics 2018-10-17 Momchil Minkov , Shanhui Fan

We present a non-Hermitian Floquet model with topological edge states in real and imaginary band gaps. The model utilizes two stacked honeycomb lattices which can be related via four different types of non-Hermitian time-reversal symmetry.…

Mesoscale and Nanoscale Physics · Physics 2020-08-25 Alexander Fritzsche , Bastian Höckendorf , Andreas Alvermann , Holger Fehske

Topological insulators are most frequently constructed using lattices with specific degeneracies in their linear spectra, such as Dirac points. For a broad class of lattices, such as honeycomb ones, these points and associated Dirac cones…

Optics · Physics 2024-09-09 Hua Zhong , Yaroslav V. Kartashov , Yongdong Li , Ming Li , Yiqi Zhang

Floquet states of periodically driven systems could exhibit rich topological properties. Many of them are absent in their static counterparts. One such example is the chiral edge states in anomalous Floquet topological insulators, whose…

Mesoscale and Nanoscale Physics · Physics 2018-07-03 Longwen Zhou , Jiangbin Gong

The possibility of attaining chiral edge modes under periodic driving has spurred tremendous attention, both theoretically and experimentally, especially in light of anomalous Floquet topological phases that feature vanishing Chern numbers…

Quantum Gases · Physics 2024-01-04 Miguel F. Martínez , F. Nur Ünal

We introduce topological vector edge solitons in a Floquet insulator, consisting of two honeycomb arrays of helical waveguides with opposite directions of rotation in a focusing nonlinear optical medium. Zigzag edges of two arrays placed in…

Chiral edge states are a hallmark feature of two-dimensional topological materials. Such states must propagate along the edges of the bulk either clockwise or counterclockwise, and thus produce oppositely propagating edge states along the…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Peiheng Zhou , Gui-Geng Liu , Yihao Yang , Yuan-Hang Hu , Sulin Ma , Haoran Xue , Qiang Wang , Longjiang Deng , Baile Zhang

Tremendous efforts have been devoted to the search for exotic topological states, which usually exist at an interface between lattices with differing topological invariants according to the bulk-edge correspondence. Here, we show a new…

Optics · Physics 2022-05-10 Wange Song , Hanmeng Li , Shenglun Gao , Shengjie Wu , Chen Chen , Shining Zhu , Tao Li

Nonequilibrium Floquet topological phases due to periodic driving are known to exhibit rich and interesting features with no static analogs. Various known topological invariants usually proposed to characterize static topological systems…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Muhammad Umer , Raditya Weda Bomantara , Jiangbin Gong

We experimentally realized Floquet topological photonic insulators using a square lattice of direct-coupled octagonal resonators. Unlike previously reported topological insulator systems based on microring lattices, the nontrivial…

Optics · Physics 2020-07-01 Shirin Afzal , Tyler J. Zimmerling , Yang Ren , David Perron , Vien Van

Topological edge states are the core of topological photonics. Here we introduce the antihelical edge states of time-reversal symmetric topological metals and propose a photonic realization in an anisotropic square lattice of coupled ring…

Mesoscale and Nanoscale Physics · Physics 2023-02-27 L. C. Xie , L. Jin , Z. Song

Topological theories have established a new set of rules that govern the transport properties in a wide variety of wave-mechanical settings. In a marked departure from the established approaches that induce Floquet topological phases by…

We consider asymmetric and symmetric dimerized two-leg ladders, comprising of four different lattice points per unit cell, illuminated by circularly polarized light. In the asymmetric dimerized ladder case, rungs are not perpendicular to…

Mesoscale and Nanoscale Physics · Physics 2020-09-08 Milad Jangjan , Mir Vahid Hosseini

One dimensional laser-written modulated photonic lattices are known to be particularly suitable for diffraction management purposes. Here, we address the connection between discrete non-diffracting states and topological properties in such…

Mesoscale and Nanoscale Physics · Physics 2017-10-10 Matthieu Bellec , Claire Michel , Haisu Zhang , Stelios Tzortzakis , Pierre Delplace

A systematic approach for deriving tight-binding approximations in general longitudinally driven lattices is presented. As prototypes, honeycomb and staggered square lattices are considered. Time-reversal symmetry is broken by…

Pattern Formation and Solitons · Physics 2017-11-08 Mark J. Ablowitz , Justin T. Cole
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