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We report analytical solutions for spatial solitons supported by layers of a quadratically nonlinear material embedded into a linear planar waveguide. A full set of symmetric, asymmetric, and antisymmetric modes pinned to a symmetric pair…

Optics · Physics 2016-04-27 Asia Shapira , Noa Voloch-Bloch , Boris A. Malomed , Ady Arie

Electron beams enable highly localized near-field excitation of waveguided optical modes, yet their coupling is typically limited by short interaction times along straight-line trajectories with fixed impact parameters. Here, we…

Mesoscale and Nanoscale Physics · Physics 2026-05-28 L. Prelat , S. Abdullah , C. I. Velasco , F. J. García de Abajo

An outstanding challenge in the field of topological insulators is the realization of nonlinear systems that support coherent traveling waves. Highly nonlinear lattices can suffer from significant radiation losses due to Peierls-Nabarro…

Pattern Formation and Solitons · Physics 2026-04-22 Troy I. Johnson , Justin T. Cole

A discrete system of coupled waves (with nonanalytic dispersion relation) is derived in the context of the spectral transform theory for the Ablowitz Ladik spectral problem (discrete version of the Zakharov-Shabat system). This 3-wave…

solv-int · Physics 2009-10-30 M. Boiti , J. Leon , F. Pempinelli

The efficient control of a large number of qubits is one of most challenging aspects for practical quantum computing. Current approaches in solid-state quantum technology are based on brute-force methods, where each and every qubit requires…

Quasi-phasematched interactions in waveguides with quadratic nonlinearities enable highly efficient nonlinear frequency conversion. In this article, we demonstrate the first generation of devices that combine the dispersion-engineering…

A novel method of coherent manipulation of the electron tunneling in quantum-dots is proposed, which utilizes the quantum interference in nonadiabatic double-crossing of the discrete energy levels. In this method, we need only a smoothly…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Keiji Saito , Yosuke Kayanuma

The system of coupled discrete equations describing a two-component superlattice with interlaced linear and nonlinear constituents is revisited as a basis for investigating binary waveguide arrays, such as ribbed AlGaAs structures, among…

Pattern Formation and Solitons · Physics 2009-11-13 Kyriakos Hizanidis , Yannis Kominis , Nikolaos K. Efremidis

In recent years, Neural Networks (NNs) have been employed to control nonlinear systems due to their potential capability in dealing with situations that might be difficult for conventional nonlinear control schemes. However, to the best of…

Optimization and Control · Mathematics 2025-02-04 Anran Li , John P. Swensen , Mehdi Hosseinzadeh

We report on the formation of dark discrete solitons in a nonlinear periodic system consisting of evanescently-coupled channel waveguides that are fabricated in defocusing lithium niobate. Localized nonlinear dark modes displaying a phase…

Pattern Formation and Solitons · Physics 2009-11-11 Eugene Smirnov , Christian E. Rueter , Milutin Stepic , Vladimir Shandarov , Detlef Kip

We fabricate and characterize waveguides composed of closely spaced and longitudinally oriented silicon ridges etched into silicon-on-insulator wafers. Through both guided mode and bulk measurements, we demonstrate that the patterning of…

We study a waveguide array with an embedded nonlinear saturable impurity. We solve the impurity problem in closed form and find the nonlinear localized modes. Next, we consider the scattering of a small-amplitude plane wave by a nonlinear…

Pattern Formation and Solitons · Physics 2015-05-13 Uta Naether , Daniel E. Rivas , Manuel A. Larenas , Mario I. Molina , Rodrigo A. Vicencio

We present a simple laboratory experiment to illustrate some aspects of the soliton theory in discrete lattices with a system that models the dynamics of dislocations in a crystal or the properties of adsorbed atomic layers. The apparatus…

Pattern Formation and Solitons · Physics 2009-10-31 Claude Laroche , Thierry Dauxois , Michel Peyrard

Free-space light beams with complex intensity patterns, or non-trivial phase structure, are demanded in diverse fields, ranging from classical and quantum optical communications, to manipulation and imaging of microparticles and cells.…

Optics · Physics 2016-12-13 Andrea Crespi , Francesca Bragheri

Spin defects in silicon carbide have exceptional electron spin coherence with a near-infrared spin-photon interface in a material amenable to modern semiconductor fabrication. Leveraging these advantages, we successfully integrate highly…

The interaction between two parallel beams in one-dimensional discrete saturable systems has been investigated using lithium niobate nonlinear waveguide arrays. When the beams are separated by one channel and in-phase it is possible to…

In this paper, we present a general theory of aperiodic subwavelength arrays for controlling electromagnetic waves. The considered platform is formed by an array of electrically small loaded scatterers above a ground plane. While the array…

Applied Physics · Physics 2025-03-19 Yongming Li , Xikui Ma , Xuchen Wang , Sergei A. Tretyakov

Dynamics of a chain of interacting parity-time invariant nonlinear dimers is investigated. A dimer is built as a pair of coupled elements with equal gain and loss. A relation between stationary soliton solutions of the model and solitons of…

We demonstrate deterministic control of the nearest and next-nearest neighbor coupling in the unit cell of a square lattice of microcavity exciton-polariton condensates. We tune the coupling in a continuous and reversible manner by…

Mesoscale and Nanoscale Physics · Physics 2020-05-27 Sergey Alyatkin , Julian D. Töpfer , Alexis Askitopoulos , Helgi Sigurdsson , Pavlos G. Lagoudakis

We introduce and study the properties of an array of QED cavities coupled by nonlinear elements, in the presence of photon leakage and driven by a coherent source. The nonlinear couplings lead to photon hopping and to nearest-neighbor Kerr…

Quantum Physics · Physics 2014-10-16 Jiasen Jin , Davide Rossini , Rosario Fazio , Martin Leib , Michael J. Hartmann