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, Yongyao Li

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

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 S≥2, 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.

Original languageEnglish
Article number053617
JournalPhysical Review A
Volume96
Issue number5
DOIs
StatePublished - 13 Nov 2017

Funding

FundersFunder number
US-Israel) Science Foundation2015616
National Science Foundation
National Natural Science Foundation of China11575063, 11204037, 61575041
Israel Science Foundation12876/17
Norsk Sykepleierforbund

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