Vortex transmutation

Abstract

Using group theory arguments and numerical simulations, we demonstrate the possibility of changing the vorticity or topological charge of an individual vortex by means of the action of a system possessing a discrete rotational symmetry of finite order. We establish on theoretical grounds a "transmutation pass rule'' determining the conditions for this phenomenon to occur and numerically analize it in the context of two-dimensional optical lattices or, equivalently, in that of Bose-Einstein condensates in periodic potentials.

4 pages, 4 figures

References in corpus (6)

• Observation of discrete vortex solitons in optically-induced photonic lattices
• Fundamental and vortex solitons in a two-dimensional optical lattice
• Multidimensional solitons in periodic potentials
• Vortex solitons in photonic crystal fibers
• Vorticity cutoff in nonlinear photonic crystals
• Nodal solitons and the nonlinear breaking of discrete symmetry

Cited by in corpus (16)

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• Rutherford scattering of electron vortices
• Vortex solitons in twisted circular waveguide arrays
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• Analytical solution for multisingular vortex Gaussian beams: The mathematical theory of scattering modes
• Angular Pseudomomentum Theory for the Generalized Nonlinear Schrödinger Equation in Discrete Rotational Symmetry Media
• Symmetry-assisted vorticity control in Bose-Einstein condensates
• Composite vortices in nonlinear circular waveguide arrays
• Discrete multivortex solitons
• A topological charge selection rule for phase singularities
• Topological transformations of speckles
• The key role of off-axis singularities in free-space vortex transmutation
• Discrete-Gauss states and the generation of focussing dark beams
• A method for the dynamics of vortices in a Bose-Einstein condensate: analytical equations of the trajectories of phase singularities
• Soliton shape and mobility control in optical lattices
• Vortex solitons in star networks