Three-dimensional hybrid vortex solitons
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 profi...
| Autores: | , , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/24296 |
| Acceso en línea: | https://hdl.handle.net/2117/24296 https://dx.doi.org/10.1088/1367-2630/16/6/063035 |
| Access Level: | acceso abierto |
| Palabra clave: | 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 Àrees temàtiques de la UPC::Física |
| Sumario: | 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. |
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