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It is shown that inhomogeneous nonlinear interactions in a Bose-Einstein condensate loaded in an optical lattice can result in delocalizing transition in one dimension, what sharply contrasts to the known behavior of discrete and periodic…

Other Condensed Matter · Physics 2007-08-20 Yu. V. Bludov , V. A. Brazhnyi , V. V. Konotop

We study one-dimensional optical wave turbulence described by the 1D Schr{\"o}dinger-Helmholtz model for nonlinear light propagation in spatially nonlocal nonlinear optical media such as nematic liquid crystals. By exploiting the specific…

Optics · Physics 2024-12-19 Clément Colléaux , Jonathan Skipp , Jason Laurie , Sergey Nazarenko

Recently, optical soliton propagation in an intrinsic nonlinear graphene monolayer configuration has been discovered. However, optical soliton behavior in a free-standing graphene monolayer with defects has not yet been studied. The…

Quantum Physics · Physics 2013-11-25 Frederick Ira Moxley , Tim Byrnes , Adarsh Radadia , Weizhong Dai

The properties of nonlinear interference pattern between atomic bright solitons are characterized analytically, with the aid of exact solutions of dynamical equation in mean-field approximation. It is shown that relative velocity, relative…

Quantum Gases · Physics 2018-04-06 Li-Chen Zhao , Guo-Guo Xin , Zhan-Ying Yang , Wen-Li Yang

The aim of this paper is to provide a construction of stationary discrete solitons in an extended one-dimensional Discrete NLS model with non-nearest neighbour interactions. These models, models of the type with long-range interactions were…

Dynamical Systems · Mathematics 2026-03-20 Vassilis M. Rothos , Stavros Anastassiou , Katerina G. Hadjifotinou

The hybridization of light and matter excitations in the form of polaritons has enabled major advances in understanding and controlling optical nonlinearities. Entering the quantum regime of strong interactions between individual photons…

We investigate the propagation of the spatial soliton in cylindrical strongly nonlocal media by a novel method of image beam of light. The effect of the boundary on the soliton acting as the dynamic force for the soliton steering is…

Optics · Physics 2011-02-28 Qian Shou , Yanbin Liang , Qun Jiang , Yajian Zheng , Sheng Lan , Wei Hu , Qi Guo

We study a spherical, self-gravitating fluid model, which finds applications in cosmic structure formation. We argue that since the system features nonlinearity and gravity-induced dispersion, the emergence of solitons becomes possible. We…

Pattern Formation and Solitons · Physics 2024-02-21 G. N. Koutsokostas , S. Sypsas , O. Evnin , T. P. Horikis , D. J. Frantzeskakis

We show that the nonlinear interactions between x rays and longer wavelengths in crystals depend strongly on the band structure and related properties. Consequently, these types of interactions can be used as a powerful probe for…

Optics · Physics 2019-12-04 Ron Cohen , Sharon Shwartz

Interactions between solitons and the coherent oscillation structures generated by localized disturbances via modulational instability are studied within the framework of the focusing nonlinear Schrodinger equation. Two main interaction…

Pattern Formation and Solitons · Physics 2018-10-24 Gino Biondini , Sitai Li , Dionyssios Mantzavinos

From protein motifs to black holes, topological solitons are pervasive nonlinear excitations that are robust and can be driven by external fields. So far, existing driving mechanisms all accelerate solitons and antisolitons in opposite…

Nonlinear light-matter interactions are typically enhanced by increasing the local field and its interaction time with matter. Conventional methods to achieve these goals are based on resonances or slow-light effects. However, these methods…

Optical soliton molecules are bound states of solitons that arise from the balance between attractive and repulsive effects. Having been observed in systems ranging from optical fibers to mode-locked lasers, they provide insights into the…

The system of a cold atomic gas in an optical lattice is governed by two factors: nonlinearity originating from the interparticle interaction, and the periodicity of the system set by the lattice. The high level of controllability…

Quantum Gases · Physics 2016-05-10 Gentaro Watanabe , B. Prasanna Venkatesh , Raka Dasgupta

Soliton dynamics in a large variety of longitudinally modulated lattices are studied in terms of phase space analysis for an effective particle approach and direct numerical simulations. Complex soliton dynamics are shown to depend strongly…

Pattern Formation and Solitons · Physics 2015-03-19 Panagiotis Papagiannis , Yannis Kominis , Kyriakos Hizanidis

The model underlying physics of guiding light in single-mode fibers -- the one-dimensional nonlinear Schr\"odinger equation (NLSE), reveals a remarkable balance of the fiber dispersion and nonlinearity, leading to the existence of optical…

Pattern Formation and Solitons · Physics 2024-09-25 Alexandre Mucci , Pierre Suret , François Copie , Stephane Randoux , Rustam Mullyadzhanov , Andrey Gelash

We study spatial optical solitons in a one-dimensional nonlinear photonic crystal created by an array of thin-film nonlinear waveguides, the so-called Dirac-comb nonlinear lattice. We analyze modulational instability of the extended…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey A. Sukhorukov , Yuri S. Kivshar

The inelastic scatterings of matter systems, such as Raman scattering, contain rich information on mechanical vibrations like as resonant frequencies, which lead to various applications, for example, a sensor for specific molecules.…

Quantum Physics · Physics 2021-10-04 Sho Tamaki , Tomohiro Yokoyama , Hajime Ishihara

We present here a study of the bright soliton dynamics in an inhomogeneous fibre by means of variable coefficient Fokas-Lenells equation with time varying dispersion, nonlinearity and gain/loss parameter. At first, we propose our system…

Pattern Formation and Solitons · Physics 2026-01-15 Sagardeep Talukdar , R. Ramakrishnan , Sudipta Nandy , M. Lakshmanan

Buildup and switching mechanisms of solitons in complex nonlinear systems are fundamentally important dynamical regimes. Using a novel strongly nonlinear optical system,the work reveals a new buildup scenario for soliton molecules , which…