Rotating vortex clusters in media with inhomogeneous defocusing nonlinearity

Abstract

We show that media with inhomogeneous defocusing cubic nonlinearity growing toward the periphery can support a variety of stable vortex clusters nested in a common localized envelope. Nonrotating symmetric clusters are built of an even number of vortices with opposite topological charges, located at equal distances from the origin. Rotation makes the clusters strongly asymmetric, as the centrifugal force shifts some vortices to the periphery, while others approach the origin, depending on the topological charge. We obtain such asymmetric clusters as stationary states in the rotating coordinate frame, identify their existence domains, and show that the rotation may stabilize some of them.

4 pages, 4 figures, to appear in Optics Letters

References in corpus (4)

• Stationary ring solitons in field theory - knots and vortons
• Twisted toroidal vortex-solitons in inhomogeneous media with repulsive nonlinearity
• Impact of anisotropy on vortex clusters and their dynamics
• Solitons and vortices in nonlinear potential wells

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• On the inhomogeneous NLS with inverse-square potential
• Vortex precession dynamics in general radially symmetric potential traps in two-dimensional atomic Bose-Einstein condensates
• Rotating azimuthons in dissipative Kerr media excited by superpositions of Bessel beams