Stable multiple vortices in collisionally inhomogeneous attractive Bose-Einstein condensates
Stable multiple vortices in collisionally inhomogeneous attractive Bose-Einstein condensates
复制标题
碰撞非均匀吸引玻色-爱因斯坦凝聚态中的稳定多重涡旋
DOI：
10.1103/physreva.92.053601
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
B. Malomed
中科院分区：
文献类型：
--
作者：
J. Sudharsan;R. Radha;H. Fabrelli;A. Gammal;B. Malomed
研究了具有空间局域自吸引区域的二维玻色-爱因斯坦凝聚体中孤立涡的稳定性。求解相应的Bogoliubov-de Gennes方程并运行基础Gross-Pitaevskii方程的直接模拟揭示了具有高达S = 6（至少）的拓扑电荷的涡旋在化学势的临界值以上是稳定的（即，低于临界原子数，其随S急剧增加）。最大的非线性局部化半径承认稳定的高阶涡估计解析和精确识别的数值形式。据我们所知，这是第一个例子的设置，产生稳定的高阶涡，S > 1，在一个被困的自吸引BEC。在非线性光学中也可以实现相同的设置。
We study stability of solitary vortices in the two-dimensional trapped Bose-Einstein condensate (BEC) with a spatially localized region of self-attraction. Solving the respective Bogoliubov-de Gennes equations and running direct simulations of the underlying Gross-Pitaevskii equation reveals that vortices with topological charge up to S = 6 (at least) are stable above a critical value of the chemical potential (i.e., below a critical number of atoms, which sharply increases with S). The largest nonlinearity-localization radius admitting the stabilization of the higher-order vortices is estimated analytically and accurately identified in a numerical form. To the best of our knowledge, this is the first example of a setting which gives rise to stable higher-order vortices, S > 1, in a trapped self-attractive BEC. The same setting may be realized in nonlinear optics too.