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We consider two-component solitons in a medium with a periodic modulation of the nonlinear coefficient. The modulation enables the existence of complex multihump vector states. In particular, vector solitons composed of dipole and…

The properties of vector vortex beams in vertical-cavity-surface emitting lasers with frequency-selective feedback is investigated. They are interpreted as high-order vortex solitons with a spatially non-uniform, but locally linear…

Pattern Formation and Solitons · Physics 2022-10-27 T. Ackemann , T. Guillet , H. Pulham , G. -L. Oppo

Dynamics of solitons of the Ablowitz-Ladik model in the presence of a random potential is studied. In absence of the random potential it is an integrable model and the solitons are stable. As a result of the random potential this stability…

Disordered Systems and Neural Networks · Physics 2015-01-20 Zhi-Yuan Sun , Shmuel Fishman , Avy Soffer

We address the concept of guiding and transporting matter-wave solitons along the channels of optical lattices made by interference patterns of beams containing topological wavefront dislocations. The local lattice distortions that occur…

Optics · Physics 2009-11-13 Yaroslav V. Kartashov , Lluis Torner

In this work we present a class of traveling solitons in Lorentz-violating systems. In the case of Lorentz violating scenarios, it is usual to construct static solitonic configurations. Here it is shown that it is possible to construct some…

High Energy Physics - Theory · Physics 2011-05-19 A. de Souza Dutra , R. A. C. Correa

We show that a vector matter-wave soliton in Bose-Einstein condensate loaded into an optical lattice can escape from a trap formed by a parabolic potential, resembling a Hawking emission. The particle-antiparticle pair is emulated by a…

Quantum Gases · Physics 2017-06-22 Yu. V. Bludov , M. A. García-Ñustes

We study the soliton mobility in nonlocal nonlinear media with an imprinted fading optical lattice. The results show that the transverse mobility of solitons varies with the lattice decay rate and the nonlocality degree, which provides an…

Optics · Physics 2015-06-15 Zhiping Dai , Xiaohui Ling , Youwen Wang , Kaiming You

A long wavelength optical lattice is generated in a two-level medium by low-frequency contrapropagating beams. Then a short wave length gap soliton generated by evanescent boundary instability (supratransmission) undergoes a dynamics shown…

Other Condensed Matter · Physics 2015-05-14 Ramaz Khomeriki , Jerome Leon

We report the first experimental observation of vector surface solitons, which form at the edge and in the corner of two-dimensional laser-written waveguide arrays. These elliptically polarized vector states are composed of two orthogonally…

We show for the first time that highly localized in-plane breathers can propagate in specific directions with minimal lateral spreading in a model 2-D hexagonal non-linear lattice. The lattice is subject to an on-site potential in addition…

patt-sol · Physics 2016-08-15 J. L. Marín , J. C. Eilbeck , F. M. Russell

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

Rotational states for trapped bosons in an optical lattice are studied in the framework of the Hubbard model. Critical frequencies are calculated and the main parameter regimes are identified. Transitions are observed from edge superfluids…

Other Condensed Matter · Physics 2009-11-13 Emil Lundh

We reveal and observe experimentally significant modifications undertaken by discrete solitons in waveguide lattices upon the continuous transformation of the lattice structure from one-dimensional to two-dimensional. Light evolution and…

We study the pumping of matter-wave solitons formed in Bose-Einstein condensates (BECs) with attractive atomic interactions that are loaded into optical superlattices in which one of the lattices is moving with respect to the other. We find…

Quantum Physics · Physics 2024-01-18 Xiaoxiao Hu , Zhiqiang Li , Ai-Xi Chen , Xiaobing Luo

It is shown that matter solitons can be effectively managed by means of smooth variations of parameters of optical lattices in which the condensate is loaded. The phenomenon is based on the effect of lattice modulations on the carrier wave…

Soft Condensed Matter · Physics 2009-11-10 V. A. Brazhnyi , V. V. Konotop , V. Kuzmiak

Discrete fundamental and dipole solitons are constructed, in an exact analytical form, in an array of linear waveguides with an embedded $\mathcal{PT}$-symmetric dimer, which is composed of two nonlinear waveguides carrying equal gain and…

We investigate numerically and theoretically the conditions leading to soliton ejection stimulated through the scattering of bright solitons by modulated reflectionless potential wells. Such potential wells allow for the possibility of…

Pattern Formation and Solitons · Physics 2021-09-15 T. Uthayakumar , L. Al Sakkaf , U. Al Khawaja

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

Fundamental and vortex solitons in a two-dimensional optically induced waveguide array are reported. In the strong localization regime, the fundamental soliton is largely confined to one lattice site, while the vortex state comprises of…

Optics · Physics 2009-11-10 Jianke Yang , Ziad Musslimani

Both the group velocity and phase velocity of two solitons can be synchronized by a Kerr-effect mediated interaction, causing what is known as soliton trapping. Trapping can occur when solitons travel through single-pass optical fibers or…