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Three-dimensional hybrid vortex solitons
Driben, Rodislav; Kartashov, Yaroslav; Malomed, Boris A.; Meier, Torsten; Torner Sabata, Lluís
Universitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions; Universitat Politècnica de Catalunya. FOTONICA - Fotònica
We show, by means of numerical and analytical methods, that media with a repulsive nonlinearity which grows from the center to the periphery support a remarkable variety of previously unknown complex stationary and dynamical three-dimensional (3D) solitary-wave states. Peanut-shaped modulation profiles give rise to vertically symmetric and antisymmetric vortex states, and novel stationary hybrid states, built of top and bottom vortices with opposite topological charges, as well as robust dynamical hybrids, which feature stable precession of a vortex on top of a zero-vorticity soliton. The analysis reveals stability regions for symmetric, antisymmetric, and hybrid states. In addition, bead-shaped modulation profiles give rise to the first example of exact analytical solutions for stable 3D vortex solitons. The predicted states may be realized in media with a controllable cubic nonlinearity, such as Bose-Einstein condensates.
Peer Reviewed
Àrees temàtiques de la UPC::Física
Solitons
Three-dimensional vortices
Three-dimensional solitons
Bose-Einstein condensates
Nonlocal nonlinear media
Bose-Einstein condensate
Mode vector solitons
Light bullets
2-dimensional solitons
Schrodinger-equations
Photonic lattices
Optical solitons
Chiral solitons
Stabilization
Solitons
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/publishedVersion
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