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Exploring the deep insights into localization, disorder, and wave transport in non-Hermitian systems is an emergent area of research of relevance in different areas of physics. Engineered photonic lattices, with spatial regions of optical…

Optics · Physics 2025-04-10 Stefano Longhi

Recent experimental progress in magnetic atoms and polar molecules has created the prospect of simulating dipolar Hubbard models with off-site interactions. When applied to real-space cylindrical optical lattices, these anisotropic…

Quantum Gases · Physics 2022-05-05 Michael Hughes , Dieter Jaksch

We develop fs laser-fabricated asymmetric couplers and zig-zag arrays consisting of single and two-mode waveguides with bipartite nonlinearity. The fundamental mode ($s$ orbital) is near resonance with the neighboring higher-order $p$…

Optics · Physics 2025-01-06 Gayathry Rajeevan , Sebabrata Mukherjee

We predict the existence and study properties of the valley Hall edge solitons in a composite photonic graphene with a domain wall between two honeycomb lattices with broken inversion symmetry. Inversion symmetry in our system is broken due…

Emergent collective modes in lattices give birth to many intriguing physical phenomena in condensed matter physics. Among these collective modes, large-area modes typically feature small-level spacings, while a mode with stable frequency…

Mesoscale and Nanoscale Physics · Physics 2024-07-16 Zhongfu Li , Shiqi Li , Bei Yan , Hsun-Chi Chan , Jing Li , Jun Guan , Wengang Bi , Yuanjiang Xiang , Zhen Gao , Shuang Zhang , Peng Zhan , Zhenlin Wang , Biye Xie

We report that infinite and semi-infinite lattices with spatially inhomogeneous self-defocusing (SDF)\ onsite nonlinearity, whose strength increases rapidly enough toward the lattice periphery, support stable unstaggered (UnST) discrete…

Pattern Formation and Solitons · Physics 2015-06-17 Goran Gligoric , Aleksandra Maluckov , Ljupco Hadzievski , Boris Malomed

Evanescently coupled waveguide arrays provide a tabletop platform to realize a variety of Hamiltonians, where physical waveguides correspond to the individual sites of a tight-binding lattice. Nontrivial spatial structure of the waveguide…

Recent experimental developments showed that the use of the radiation pressure, induced by a continuous laser wave, to control fluid-fluid interface deformations at the microscale, represents a very promising alternative to electric or…

Soft Condensed Matter · Physics 2010-07-26 Hamza Chraibi , Didier Lasseux , Régis Wunenburger , Eric Arquis , Jean-Pierre Delville

Topological phases enable protected transport along the edges of materials, offering immunity against scattering from disorder and imperfections. These phases were suggested and demonstrated not only for electronic systems, but also for…

We analyze the origin and features of localized excitations in a discrete two-dimensional Hamiltonian lattice. The lattice obeys discrete translational symmetry, and the localized excitations exist because of the presence of nonlinearities.…

Condensed Matter · Physics 2009-10-22 S. Flach , K. Kladko , C. R. Willis

We consider a mixture consisting of two species of spherical nanoparticles dispersed in a liquid medium. We show that with an appropriate choice of refractive indices and particle diameters, it is possible to observe the phenomenon of…

Optics · Physics 2010-01-27 Michal Matuszewski

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…

We predict the existence of a novel interaction-induced spatial localization in a periodic array of qubits coupled to a waveguide. This localization can be described as a quantum analogue of a self-induced optical lattice between two…

We study coherent and incoherent interactions between discrete vortex and fundamental solitons in two-dimensional photonic lattices, presenting a new scheme for all-optical routings and topological transformations of vorticities. Due to the…

Optics · Physics 2015-06-17 Xuetao Gan , Peng Zhang , Sheng Liu , Fajun Xiao , Jianlin Zhao

We study the existence and stability of localized states in the discrete nonlinear Schr{\"o}dinger equation (DNLS) on two-dimensional non-square lattices. The model includes both the nearest-neighbor and long-range interactions. For the…

Pattern Formation and Solitons · Physics 2009-11-07 P. G. Kevrekidis , B. A. Malomed , Yu. B. Gaididei

Localization of coherent propagating waves has been extensively studied over the years, primarily in homogeneous random media. However, significantly less attention has been given to wave localization in inhomogeneous systems, where the…

Disordered Systems and Neural Networks · Physics 2026-01-27 Alejandro Ramírez-Yañez , Thomas Gorin , Rodrigo A. Vicencio , Víctor A. Gopar

Studying the topology of spatiotemporal media poses a fundamental challenge: their remarkable properties stem from breaking spatial and temporal symmetries, yet this same breaking obscures their topological characterization. Here, we show…

Optics · Physics 2026-02-27 Alejandro Caballero , Thomas F. Allard , Paloma A. Huidobro

Criteria for experimental observation of multi-dimensional optical solitons in media with saturable refractive nonlinearities are developed. The criteria are applied to actual material parameters (characterizing the cubic self-focusing and…

Optics · Physics 2009-11-10 Yi-Fan Chen , Kale Beckwitt , Frank W. Wise , Boris A. Malomed

The engineering of localised modes in photonic structures is one of the main targets of modern photonics. An efficient strategy to design these modes is to use the interplay of constructive and destructive interference in periodic photonic…

Topology has been revealed to play a fundamental role in physics in the past decades. Topological insulators have unconventional gapless edge states where disorder-induced back-scattering is suppressed. In photonics, such edge states lead…

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