arXiv 1601.021762016-01-10cond-mat.quant-gasnlin.PS

三维玻色-爱因斯坦凝聚体中暗球壳孤子的存在性、稳定性和动力学

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

Wenlong Wang, P. G. Kevrekidis, R. Carretero-Gonzalez, D. J. Frantzeskakis

备注：: 10 pages, 7 figures, for movie go to: http://nonlinear.sdsu.edu/~carreter/DSS.html
发表信息：: Phys. Rev. A 93, 023630 (2016)
DOI：: 10.1103/PhysRevA.93.023630

摘要：

本文研究了三维原子玻色-爱因斯坦凝聚体中的球壳暗孤子态。利用它们的对称性来分析它们的存在，以及拓扑带电变体的结构，并且重要的是，确定它们的线性稳定性Bogolyubov-de Gennes谱。我们比较我们的有效的1D球形和2D圆柱计算与完整的3D数值。一个重要的结论是，这样的球壳孤子可以是稳定的足够接近的线性极限的各向同性凝聚考虑在这里。我们还确定了它们的不稳定性，导致涡线和涡环笼的出现。此外，我们还将低维暗孤子和环形暗孤子的有效粒子图像推广到球壳暗孤子的平衡半径及其周围的有效动力学，并将由此得到的球壳暗孤子的平衡半径与三维数值解进行了定性和定量的比较.

英文摘要：

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 Bogolyubov-de Gennes spectrum. We compare our effective 1D spherical and 2D cylindrical computations with the full 3D 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 the resulting predictions such as the shell equilibrium radius, qualitatively and quantitatively, with full numerical solutions in 3D.

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