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In the continuum O(3) sigma model in two spatial dimensions, there are topological solitons whose size can be stabilized by adding Skyrme and potential terms. This paper describes a lattice version, namely a natural way of modifying the 2d…

High Energy Physics - Theory · Physics 2016-09-06 R. S. Ward

We report an observation of a stable soliton-like structure on the surface of a ferrofluid, generated by a local perturbation in the hysteretic regime of the Rosensweig instability. Unlike other pattern-forming systems with localized 2D…

Pattern Formation and Solitons · Physics 2009-11-11 Reinhard Richter , I. V. Barashenkov

We demonstrate theoretically and experimentally that the transverse instability of coherent soliton stripes can be greatly suppressed or totally eliminated when the soliton stripes propagate in a one-dimensional photonic lattice under…

Optics · Physics 2012-05-04 Jianke Yang , Daniel Gallardo , Alexandra Miller , Zhigang Chen

In uniaxial soft matter with a reorientational nonlinearity, such as nematic liquid crystals, a light beam in the extraordinary polarization walks off its wavevector due to birefringence, while it undergoes self-focusing via an increase in…

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

We analyze numerically the formation and the subsequent dynamics of two-dimensional matter wave dark solitons in a Thomas-Fermi rubidium condensate using various techniques. An initially imprinted sharp phase gradient leads to the dynamical…

Quantum Gases · Physics 2017-04-19 Gunjan Verma , Umakant D. Rapol , Rejish Nath

We study the properties of surface solitons generated at the edge of a semi-infinite photonic lattice in nonlinear quadratic media, namely two-color surface lattice solitons. We analyze the impact of phase mismatch on existence and…

Optics · Physics 2009-11-13 Zhiyong Xu , Yuri S. Kivshar

Vortex-carrying wave fields play a crucial role in photonics due to unusual propagation properties and interactions with matter, which enable numerous practical applications ranging from optical tweezers and imaging to information encoding…

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

Two-dimensional atomic arrays exhibit a number of intriguing quantum optical phenomena, including subradiance, nearly perfect reflection of radiation and long-lived topological edge states. Studies of emission and scattering of photons in…

The existence of thresholdless vortex solitons trapped at the core of disclination lattices that realize higher-order topological insulators is reported. The study demonstrates the interplay between nonlinearity and higher-order topology in…

Pattern Formation and Solitons · Physics 2024-09-27 Changming Huang , Ce Shang , Yaroslav V. Kartashov , Fangwei Ye

We address the impact of asymmetric nonlocal diffusion nonlinearity on the properties of gap solitons supported by photorefractive crystal with an imprinted optical lattice. We reveal how the asymmetric nonlocal response alters the domains…

Pattern Formation and Solitons · Physics 2009-11-11 Zhiyong Xu , Yaroslav V. Kartashov , Lluis Torner

We consider parametric amplification of two-dimensional spatial soliton swinging in longitudinally modulated harmonic and Bessel lattices in Kerr-type saturable medium. We show that soliton center oscillations along different axes in…

Optics · Physics 2009-11-11 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

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…

We analyze finite temperature effects in the generation of bright solitons in condensates in optical lattices. We show that even in the presence of strong phase fluctuations solitonic structures with well defined phase profile can be…

Other Condensed Matter · Physics 2009-11-10 V. Ahufinger , A. Sanpera

We predict the existence and address the stability of two-dimensional surface solitons featuring topologically complex shapes, including dipoles, vortices, and bound states of vortex solitons, at the interface of nonlocal thermal media.…

Pattern Formation and Solitons · Physics 2009-11-13 Fangwei Ye , Yaroslav V. Kartashov , Lluis Torner

We address the stability of light bullets supported by Bessel optical lattices with out-of-phase modulation of the linear and nonlinear refractive indices. We show that spatial modulation of the nonlinearity significantly modifies the…

Pattern Formation and Solitons · Physics 2015-05-13 Fangwei Ye , Yaroslav V. Kartashov , Bambi Hu , Lluis Torner

We study the statics and dynamics of anisotropic, stable, bright and dark-in-bright dipolar quasi-two-dimensional Bose-Einstein condensate (BEC) solitons on a one-dimensional (1D) optical-lattice (OL) potential. These solitons mobile in a…

Quantum Gases · Physics 2019-08-22 S K Adhikari

We address the existence and properties of solitons in thermal media with periodic modulation of linear refractive index. Many kinds of solitons in such optical lattices, including symmetric and antisymmetric lattices, are found under…

Optics · Physics 2011-12-30 Xuekai Ma , Zhenjun Yang , Daquan Lu , Wei Hu

We extend previous work to consider the effect of the soliton on the density of states and conductivity of quasi-one-dimensional Peierls systems with quantum lattice fluctuations, modeled by a random static disorder. Two features have been…

Condensed Matter · Physics 2007-05-23 Kihong Kim , John W. Wilkins