Dipolar bright solitons and solitary vortices in a radial lattice

Chunqing Huang, Lin Lyu, Hao Huang, Zhaopin Chen, Shenhe Fu, Haishu Tan, Boris A. Malomed, and Yongyao Li
Phys. Rev. A 96, 053617 – Published 13 November 2017

Abstract

Stabilizing vortex solitons with high values of the topological charge S is a challenging issue in optics, studies of Bose-Einstein condensates (BECs), and other fields. To develop an approach to the solution of this problem, we consider a two-dimensional dipolar BEC under the action of an axisymmetric radially periodic lattice potential, V(r)cos(2r+δ), with dipole moments polarized perpendicular to the system's plane, which gives rise to isotropic repulsive dipole-dipole interactions. Two radial lattices are considered, with δ=0 and π, i.e., a potential maximum or minimum at r=0, respectively. Families of vortex gap soliton (GSs) with S=1 and S2, the latter ones often being unstable in other settings, are completely stable in the present system (at least up to S=11), being trapped in different annular troughs of the radial potential. The vortex solitons with different S may stably coexist in sufficiently far separated troughs. Fundamental GSs, with S=0, are found too. In the case of δ=0, the fundamental solitons are ring-shaped modes, with a local minimum at r=0. At δ=π, they place a density peak at the center.

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  • Received 7 August 2017

DOI:https://doi.org/10.1103/PhysRevA.96.053617

©2017 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalNonlinear Dynamics

Authors & Affiliations

Chunqing Huang1, Lin Lyu1, Hao Huang1, Zhaopin Chen2, Shenhe Fu3, Haishu Tan1, Boris A. Malomed1,2,4, and Yongyao Li1,5,*

  • 1School of Physics and Optoelectronic Engineering, Foshan University, Foshan 528000, China
  • 2Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, and the Center for Light-Matter Interaction, Tel Aviv University, Tel Aviv 69978, Israel
  • 3Department of Optoelectronic Engineering, Jinan University, Guangzhou 510632, China
  • 4Laboratory of Nonlinear-Optical Informatics, ITMO University, St. Petersburg 197101, Russia
  • 5College of Electronic Engineering, South China Agricultural University, Guangzhou 510642, China

  • *yongyaoli@gmail.com

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Issue

Vol. 96, Iss. 5 — November 2017

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