Dark spherical shell solitons in three-dimensional Bose-Einstein condensates: Existence, stability, and dynamics

作者：Wang Wenlong^*; Kevrekidis P G^*; Carretero Gonzalez R; Frantzeskakis D J

来源：Physical Review A, 2016, 93(2): 023630.

DOI：10.1103/PhysRevA.93.023630

In this work we study spherical shell dark soliton states in three-dimensional atomic Bose-Einstein condensates. Their symmetry is exploited in order to analyze their existence, as well as that of topologically charged variants of the structures, and, importantly, to identify their linear stability Bogoliubov-de Gennes spectrum. We compare our effective one-dimensional spherical and two-dimensional cylindrical computations with the full three-dimensional numerics. An important conclusion is that such spherical shell solitons can be stable sufficiently close to the linear limit of the isotropic condensates considered herein. We have also identified their instabilities leading to the emergence of vortex line and vortex ring cages. In addition, we generalize effective particle pictures of lower-dimensional dark solitons and ring dark solitons to the spherical shell solitons concerning their equilibrium radius and effective dynamics around it. In this case too, we favorably compare, qualitatively and quantitatively, the resulting predictions such as the shell equilibrium radius with full numerical solutions in three dimensions.

• 出版日期2016-2-19
• 单位Los Alamos