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We study a topological physics in a one-dimensional nonlinear system by taking an instance of a mechanical rotator model with alternating spring constants. This nonlinear model is smoothly connected to an acoustic model described by the…

Mesoscale and Nanoscale Physics · Physics 2021-12-24 Motohiko Ezawa

The investigation of topological state transition in carefully designed photonic lattices is of high interest for fundamental research, as well as for applied studies such as manipulating light flow in on-chip photonic systems. Here, we…

In the usual Su-Schrieffer-Heeger (SSH) chain, the topology of the energy spectrum is divided into two categories in different parameter regions. Here we study the topological and nontopological edge states induced by qubit-assisted…

Quantum Physics · Physics 2020-08-26 Lu Qi , Yan Xing , Guo-Li Wang , Shou Zhang , Hong-Fu Wang

Topological physics provides novel insights for designing functional photonic devices, such as magnetic-free optical diodes, which are important in optical engineering and quantum information processing. Past efforts mostly focus on the…

Optics · Physics 2025-05-15 Xiao Liu , Jiefei Wang , Ruosong Mao , Huizhu Hu , Shi-Yao Zhu , Xingqi Xu , Han Cai , Da-Wei Wang

The ability to tailor with a high accuracy the inter-site connectivity in a lattice is a crucial tool for realizing novel topological phases of matter. Here, we report the experimental realization of photonic dimer chains with long-range…

Optics · Physics 2023-07-06 F. Pellerin , R. Houvenaghel , W. A. Coish , I. Carusotto , P. St-Jean

Biphoton states have shown promising applications in quantum information processing, including quantum communications, quantum metrology, and quantum imaging. The generation and manipulation of biphoton entanglement in topologically…

Quantum Physics · Physics 2025-11-11 Wei-Wei Zhang , Chao Chen , Jizhou Wu

We study continuations of topological edge states in the Su-Schrieffer-Heeger model with on-site cubic (Kerr) nonlinearity, which is a 1D nonlinear photonic topological insulator (TI). Based on the topology of the underlying spatial…

Pattern Formation and Solitons · Physics 2021-12-28 Y. -P. Ma , H. Susanto

Advancements in photonics technologies have significantly enhanced their capability to facilitate experiments involving quantum light, even at room temperature. Nevertheless, fully integrating photonic chips that include quantum light…

We analyze the formation of localized surface modes on a nonlinear cubic waveguide array in the presence of exponentially-decreasing long-range interactions. We find that the long-range coupling induces a strong asymmetry between the…

Pattern Formation and Solitons · Physics 2015-05-19 Alejandro J. Martınez , Rodrigo A. Vicencio , Mario I. Molina

Photonic crystal fibers represent one of the most active research fields in modern fiber optics. The recent advancements of topological photonics have inspired new fiber concepts and designs. Here, we demonstrate a new type of topological…

Optics · Physics 2021-08-06 Ruirong Gong , Ming Zhang , Haibin Li , Zhihao Lan

We develop a coupled-mode theory for spatial gap solitons in the one-dimensional photonic lattices induced by interfering optical beams in a nonlinear photorefractive crystal. We derive a novel system of coupled-mode equations for two…

Pattern Formation and Solitons · Physics 2009-11-10 Boris A. Malomed , Elena A. Ostrovskaya , Yuri S. Kivshar

Topological photonic systems offer a robust platform for guiding light in the presence of disorder, but their interplay with quantum emitters remains a frontier for realizing strongly correlated quantum states. Here, we explore a…

Optics · Physics 2025-11-26 Fatemeh Davoodi

We derive a general theory of linear coupling and Kerr nonlinear coupling between modes of dielectric optical resonators from first principles. The treatment is not specific to a particular geometry or choice of mode basis, and can…

Optics · Physics 2022-03-14 Jonathan M. Silver , Pascal Del'Haye

We study a Su-Schrieffer-Heeger chain coupled to a single mode photonic cavity. Considering an off-resonant regime we use the high-frequency expansion in order to obtain an effective fermionic Hamiltonian with cavity-mediated interactions.…

Mesoscale and Nanoscale Physics · Physics 2026-04-16 Anna Ritz-Zwilling , Olesia Dmytruk

We consider a nonlinear microcavity separating a waveguide channel into two parts so as the coupling between them is possible only due to the resonant properties of the microcavity. We provide a rigorous derivation of the equations used in…

Optics · Physics 2011-09-06 Victor Grigoriev , Fabio Biancalana

It is known that a two dimensional dimerized Su-Schrieffer-Heeger model can produce a nontrivial topological phase. It is a simple nearest-neighbor model with either two or four lattice sites in in two dimensions. Su-Schrieffer-Heeger model…

Materials Science · Physics 2023-11-10 Chani Stella van Niekerk , Robert Warmbier

Nonlinear topological photonics has been attracting increasing research interest, as it provides an exciting photonic platform that combines the advantages of active all-optical control offered by nonlinear optics with the unique features…

Optics · Physics 2022-09-14 Yupei Wang , Nicolae C. Panoiu

A main objective of topological photonics is the design of disorder-resilient optical devices. Many prospective applications would benefit from nonlinear effects, which not only are naturally present in real systems but also are needed for…

Optics · Physics 2019-03-04 E. Cancellieri , H. Schomerus

We investigate the edge states and the topological phase transitions in a class of tight binding lattices in one dimension where a Su-Schrieffer-Heeger (SSH) model exists in disguise. The unit cells of such lattices may have an arbitrarily…

Disordered Systems and Neural Networks · Physics 2025-01-07 Subhajyoti Bid , Arunava Chakrabarti

We propose an implementation of a generalized Su-Schrieffer-Heeger (SSH) model based on optomechanical arrays. The topological properties of the generalized SSH model depend on the effective optomechanical interactions enhanced by strong…

Quantum Physics · Physics 2022-01-27 Xun-Wei Xu , Yan-Jun Zhao , Hui Wang , Ai-Xi Chen , Yu-xi Liu
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