期刊
NEW JOURNAL OF PHYSICS
卷 16, 期 -, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/16/6/063035
关键词
three-dimensional vortices; three-dimensional solitons; Bose-Einstein condensates
资金
- Binational (US-Israel) Science Foundation [2010239]
- German-Israel Foundation [I-1024-2.7/2009]
- Deutsche Forschungsgemeinschaft (DFG) via the Research Training Group (GRK) [1464]
- Severo Ochoa Excellence program of the Government of Spain
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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