Abstract
Stabilizing vortex solitons with high values of the topological charge 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, , 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 and , i.e., a potential maximum or minimum at , respectively. Families of vortex gap soliton (GSs) with and , the latter ones often being unstable in other settings, are completely stable in the present system (at least up to ), being trapped in different annular troughs of the radial potential. The vortex solitons with different may stably coexist in sufficiently far separated troughs. Fundamental GSs, with , are found too. In the case of , the fundamental solitons are ring-shaped modes, with a local minimum at At , they place a density peak at the center.
3 More- Received 7 August 2017
DOI:https://doi.org/10.1103/PhysRevA.96.053617
©2017 American Physical Society