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Related papers: Stable Optical Vortex Solitons in Pair Plasmas

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We address the properties of fully three-dimensional solitons in complex parity-time (PT)-symmetric periodic lattices with focusing Kerr nonlinearity, and uncover that such lattices can stabilize both, fundamental and vortex-carrying…

Optics · Physics 2016-10-18 Yaroslav V. Kartashov , Chao Hang , Guoxiang Huang , Lluis Torner

We consider the coupled propagation of an optical field and its second harmonic in a quadratic nonlinear medium governed by a coupled system of Schrodinger equations. We prove the existence of ring-profiled optical vortex solitons appearing…

Mathematical Physics · Physics 2025-06-23 Luciano Medina

We consider soliton dynamics and stability in a nonlinear lattice formed by alternating domains with focusing cubic and saturable nonlinearities. We find that in such lattices solitons centered on cubic domains may be stabilized even in…

Optics · Physics 2015-05-18 Olga V. Borovkova , Yaroslav V. Kartashov , Lluis Torner

We show that optical moire lattices enable the existence of vortex solitons of different types in self-focusing Kerr media. We address the properties of such states both in lattices having commensurate and incommensurate geometries (i.e.,…

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 demonstrate a possibility of the creation of stable optical solitons combining one continuous and one discrete coordinate, with embedded vorticity, in an array of planar waveguides with intrinsic cubic-quintic nonlinearity. The same…

Pattern Formation and Solitons · Physics 2021-02-02 Xiaoxi Xu , Guanghao Ou , Zhaopin Chen , Bin Liu , Weicheng Chen , Boris A. Malomed , Yongyao Li

We investigate existence and linear stability of coupled vortex solitons supported by cascaded four-wave mixing in a Raman active medium excited away from the resonance. We present a detailed analysis for the two- and three-component vortex…

Optics · Physics 2009-11-13 A. V. Gorbach , D. V. Skryabin , C. N. Harvey

We consider one- and two-dimensional (1D and 2D) optical or matter-wave media with a maximum of the local self-repulsion strength at the center, and a minimum at periphery. If the central area is broad enough, it supports ground states in…

Pattern Formation and Solitons · Physics 2021-11-02 Liangwei Zeng , Boris A. Malomed , Dumitru Mihalache , Yi Cai , Xiaowei Lu , Qifan Zhu , Jingzhen Li

Nonlocality is a key feature of many physical systems since it prevents a catastrophic collapse and a symmetry-breaking azimuthal instability of intense wave beams in a bulk self-focusing nonlinear media. This opens up an intriguing…

Pattern Formation and Solitons · Physics 2017-02-16 V. M. Biloshytskyi , A. O. Oliynyk , P. M. Kruglenko , A. S. Desyatnikov , A. I. Yakimenko

A model of a Bose-Einstein condensate in a ring optical lattice with atomic dissipations applied at a stationary or at a moving location on the ring is presented. The localized dissipation is shown to generate and stabilize both stationary…

Pattern Formation and Solitons · Physics 2016-11-23 Russell Campbell , Gian-Luca Oppo

We introduce a 2D network built of $\mathcal{PT}$-symmetric dimers with on-site cubic nonlinearity, the gain and loss elements of the dimers being linked by parallel square-shaped lattices. The system may be realized as a set of…

Optics · Physics 2015-06-23 Zhaopin Chen , Jingfeng Liu , Shenhe Fu , Yongyao Li , Boris A. Malomed

We analyze the existence and stability of two-component vector solitons in nematic liquid crystals for which one of the components carries angular momentum and describes a vortex beam. We demonstrate that the nonlocal, nonlinear response…

Optics · Physics 2015-05-13 Zhiyong Xu , Noel F. Smyth , Antonmaria A. Minzoni , Yuri S. Kivshar

We predict solitary vortices in quasi-planar condensates of dipolar atoms, polarized parallel to the confinement direction, with the effective sign of the dipole-dipole interaction inverted by means of a rapidly rotating field. Energy…

Other Condensed Matter · Physics 2009-11-13 I. Tikhonenkov , B. A. Malomed , A. Vardi

We put forward a model for trapping stable optical vortex solitons (VSs) with high topological charges $m$. The cubic-quintic nonlinear medium with an imprinted ring-shaped modulation of the refractive index is shown to support two branches…

Optics · Physics 2023-08-23 Liangwei Dong , Mingjing Fan , Boris A. Malomed

The formation of unstaggered localized modes in dynamical lattices can be supported by the interplay of discreteness and nonlinearity with a finite relaxation time. In rapidly responding nonlinear media, on-site discrete solitons are…

Pattern Formation and Solitons · Physics 2015-05-19 A. Maluckov , Lj. Hadzievski , B. A. Malomed

Dipole and quadrupole solitons in a two-dimensional optically induced defocus- ing photonic lattice are theoretically predicted and experimentally observed. It is shown that in-phase nearest-neighbor dipole and out-of-phase…

Pattern Formation and Solitons · Physics 2009-11-13 H. Susanto , K. Law , P. G. Kevrekidis , L. Tang , C. Lou , X. Wang , Z. Chen

We show that ballistic transport of optically excited atoms in an atomic vapor provides a nonlocal nonlinearity which stabilizes the propagation of vortex beams and higher order modes in the presence of a self-focusing nonlinearity.…

Optics · Physics 2007-08-06 S. Skupin , M. Saffman , W. Krolikowski

We examine the existence and stability of discrete spatial solitons in coupled nonlinear lasing cavities (waveguide resonators), addressing the case of active defocusing media, where the gain exceeds damping in the low-amplitude limit. A…

We propose an experimentally relevant scheme to create stable solitons in a three-dimensional Bose-Einstein condensate confined by a one-dimensional optical lattice, using temporal modulation of the scattering length (through ac magnetic…

Quantum Physics · Physics 2007-05-23 M. Trippenbach , M. Matuszewski , B. A. Malomed

We consider soliton formation in thermal nonlinear media bounded by rectangular cross-sections and uncover a new class of nonlinear stationary topological state. Specifically, we find that stationary higher-order vortex states in standard…

Optics · Physics 2016-04-13 Fangwei Ye , Yaroslav V. Kartashov , Bambi Hu , Lluis Torner