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Despite the extensive studies of topological states, their characterization in strongly nonlinear classical systems has been lacking. In this work, we identify the proper definition of Berry phase for nonlinear bulk modes and characterize…

Disordered Systems and Neural Networks · Physics 2022-06-22 Di Zhou , D. Zeb Rocklin , Michael Leamy , Yugui Yao

The possibility of topological phase transition with or without a magnetic flux trapped in the cells of a class of decorated lattices is explored in details.Using a tight binding Hamiltonian and a real space decimation scheme we…

Mesoscale and Nanoscale Physics · Physics 2025-01-29 Sougata Biswas

We report the experimental observation of nonlinear light localization and edge soliton formation at the edges of fs-laser written trimer waveguide arrays, where transition from non-topological to topological phases is controlled by the…

We propose a system that exploits the fundamental features of topological photonics and synthetic dimensions to force many semiconductor laser resonators to synchronize, mutually lock, and under suitable modulation emit a train of…

Topological photonic systems offer light transport that is robust against defects and disorder, promising a new generation of chip-scale photonic devices and facilitating energy-efficient on-chip information routing and processing. However,…

Topological concepts have been applied to a wide range of fields in order to successfully describe the emergence of robust edge modes that are unaffected by scattering or disorder. In photonics, indications of lasing from topologically…

Topological edge modes, which are robust against disorders, have been used to enhance the spatial stability of lasers. Recently, it was revealed that topological lasers can be further stabilized using a novel topological phase in…

Optics · Physics 2021-07-14 Stephan Wong , Sang Soon Oh

Topological photonics provides a fundamental framework for robust manipulation of light, including directional transport and localization with built-in immunity to disorder. Combined with an optical gain, active topological cavities hold…

Topological edge states appear at the interface of topologically distinct two Hermitian insulators. We study the extension of this idea to non-Hermitian systems. We consider PT symmetric and topologically distinct non-Hermitian insulators…

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

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

In this work we investigate non-Hermitian topological phase transitions using real-space edge states as a paradigmatic tool. We focus on the simplest non-Hermitian variant of the Su-Schrieffer-Hegger model, including a parameter that…

Strongly Correlated Electrons · Physics 2024-03-15 Rui Aquino , Nei Lopes , Daniel G. Barci

We analyze interacting ultra-cold bosonic atoms in a one-dimensional (1D) super-lattice potential with alternating tunneling rates t_1 and t_2 and inversion symmetry, which is the bosonic analogue of the Su-Schrieffer-Heeger (SSH) model. A…

Quantum Gases · Physics 2014-10-08 Fabian Grusdt , Michael Höning , Michael Fleischhauer

$\pi$ modes are unique topological edge states appearing in Floquet systems with periodic modulations of the underlying lattice structure in evolution variable, such as dynamically modulated Su-Schrieffer-Heeger (SSH) lattices. These edge…

Optics · Physics 2024-09-09 Shuang Shen , Yaroslav V. Kartashov , Yongdong Li , Meng Cao , Yiqi Zhang

Su-Schrieffer-Heeger (SSH) model on two-dimensional square lattice exhibits a topological phase transition, which is related to the Zak phase determined by bulk band topology. The strong modulation of electron hopping causes nontrivial…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Daichi Obana , Feng Liu , Katsunori Wakabayashi

We derive a general criterion for determining the onset of superradiant phase transition in electronic bands coupled to a cavity field, with possibly electron-electron interactions. For longitudinal superradiance in 2D or genuine 1D…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Daniele Guerci , Pascal Simon , Christophe Mora

Topological edge states manifest spin-momentum-locking propagation as a primary consequence of topological crystals. However, experimental studies on spin manipulation and the resulting propagation of these states are lacking. Here, we…

Topological phases in non-Hermitian systems have become fascinating subjects recently. In this paper, we attempt to classify topological phases in 1D interacting non-Hermitian systems. We begin with the non-Hermitian generalization of the…

Strongly Correlated Electrons · Physics 2021-05-18 Wenjie Xi , Zhi-Hao Zhang , Zheng-Cheng Gu , Wei-Qiang Chen

We develop a semiclassical theory of laser oscillation into a chiral edge state of a topological photonic system endowed with a frequency-dependent gain. As an archetypal model of this physics, we consider a Harper-Hofstadter lattice…

Optics · Physics 2021-05-25 Matteo Seclì , Tomoki Ozawa , Massimo Capone , Iacopo Carusotto

A primary motivation for studying topological matter regards the protection of topological order from its environment. In this work, we study a topological emitter array coupled to an electromagnetic environment. The photon-emitter coupling…

Quantum Physics · Physics 2021-12-21 Wei Nie , Mauro Antezza , Yu-xi Liu , Franco Nori

We propose and experimentally realize a class of quasi-one-dimensional topological lattices whose unit cells are constructed by coupled multiple identical resonators, with uniform hopping and inversion symmetry. In the presence of…

Mesoscale and Nanoscale Physics · Physics 2024-01-15 Jun Li , Yaping Yang , C. M. Hu