Dynamics of Bose-Einstein Condensates: Exact Representation and Topological Classification of Coherent Matter Waves
Dynamical evolution of the dark and bright solitons for an attractive condensate with , . With the increasing of (“angular momentum”), the height of solitons decreases. The phase is monotonously increasing with respect to the spatial .
(a) The portrait of the amplitudes
(b) The portrait of the phases
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