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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 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

We introduce a one dimensional non-Hermitian four band tight binding lattice system. We find stable topological edge states protected by particle-hole and parity-time symmetries. We show that topological phase appears in the system. We…

Mesoscale and Nanoscale Physics · Physics 2019-05-21 C. Yuce

We theoretically investigate a photonic Kagome lattice which can be realized in microwave cavity arrays using current technology. The Kagome lattice exhibits an exotic band structure with three bands one of which can be made completely…

Quantum Gases · Physics 2012-12-06 Alexandru Petrescu , Andrew A. Houck , Karyn Le Hur

We report on a study of a one-dimensional linear photonic lattice hosting, simultaneously, fundamental and dipolar modes at every site. We show how, thanks to the interaction between the different orbital modes, this minimal model exhibits…

Optics · Physics 2020-08-12 Gabriel Caceres-Aravena , Luis E F Foa , Rodrigo A Vicencio

We propose a method to address the existence of topological edge modes in one-dimensional (1D) nonlinearlattices, by deforming the edge modes of linearized models into solutions of the fully nonlinear system. Forlarge enough nonlinearites,…

Pattern Formation and Solitons · Physics 2022-01-17 Lucien Jezequel , Pierre Delplace

We explore a new class of topologically stable zero energy modes which are protected by coexisting chiral and spatial symmetries. If a chiral symmetric Hamiltonian has an additional spatial symmetry such as reflection, inversion and…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Mikito Koshino , Takahiro Morimoto , Masatoshi Sato

Photonic topology optimization is a technique used to find the electric permittivity distribution of a device that optimizes an electromagnetic figure-of-merit. Two common techniques are used: continuous density-based optimizations that…

Applied Physics · Physics 2021-07-21 Conner Ballew , Gregory Roberts , Tianzhe Zheng , Andrei Faraon

Topological photonics has recently emerged as a route to realize robust optical circuitry, and nonlinear effects are expected to enable tunability of topological states with the light intensity. Here we realize experimentally nonlinear…

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

In an atomic vapor, a honeycomb lattice can be constructed by utilizing the three-beam interference method. In the method, the interference of the three beams splits the dressed energy level periodically, forming a periodic refractive index…

Optics · Physics 2015-10-21 Yiqi Zhang , Xing Liu , Milivoj R. Belić , Zhenkun Wu , Yanpeng Zhang

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

A new class of phenomena stemming from topological states of quantum matter has recently found a variety of analogies in classical systems. Spin-locking and one-way propagation have been shown to drastically alter our view on scattering of…

We study photonic crystal fibers and ring resonators with topological features induced by Aubry- Andre-Harper modulations of the cladding. We find non trivial gaps and edge states at the interface between regions with different Chern…

Optics · Physics 2020-04-22 Laura Pilozzi , Daniel Leykam , Zhigang Chen , Claudio Conti

Topological magnon modes are expected to be useful for novel applications such as robust information propagation, since they are immune to backscattering and robust against disorder. Although there are several of theoretical proposals for…

Mesoscale and Nanoscale Physics · Physics 2021-12-23 Hong Huang , Toshikaze Kariyado , Xiao Hu

We consider a system of dynamically-modulated photonic resonator lattice undergoing photonic transition, and show that in the ultra-strong coupling regime such a lattice can exhibit non-trivial topological properties, including…

Optics · Physics 2015-11-17 Luqi Yuan , Shanhui Fan

Two-dimensional (2D) coupled resonant optical waveguide (CROW), exhibiting topological edge states, provides an efficient platform for designing integrated topological photonic devices. In this paper, we propose an experimentally feasible…

Topological physics opens up a plethora of exciting phenomena allowing to engineer disorder-robust unidirectional flows of light. Recent advances in topological protection of electromagnetic waves suggest that even richer functionalities…

Topological excitons are superpositions of electron-hole pair states, characterized by an envelope function with finite vorticity in momentum space. This vorticity is determined by the underlying topology of the electronic bands. We derive…

Mesoscale and Nanoscale Physics · Physics 2026-02-06 Mara Lozano , Hong-Yi Xie , Bruno Uchoa

Topological edge states in electromagnetic systems feature a set of attracting fundamental properties and unveil prospective applications based on disorder robustness and tailored localization. Despite active efforts in implementing…