Vortex solutions in a binary immiscible Bose-Einstein condensate
Vortex solutions in a binary immiscible Bose-Einstein condensate
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DOI：
10.1103/physreva.109.023318
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发表时间：
2022-07
影响因子：
2.9
通讯作者：
R. Doran;A. Baggaley;N. Parker
中科院分区：
文献类型：
--
作者：
R. Doran;A. Baggaley;N. Parker
我们考虑了在不混溶极限下两组分玻色爱因斯坦凝聚体中的平均场涡旋解及其稳定性。本文用变分方法研究了由一个含有单个量子化涡旋的多数分量和一个充满涡旋核的少数分量组成的系统。我们表明，一个超高斯函数是一个很好的近似的填充组件的原子数的范围内的两个组件的涡旋解决方案，通过比较耦合的Gross-Pitaevskii方程的全数值解的变分解决方案。随后，我们检查的涡流解决方案的稳定性，通过扰动填充组件远离中心的涡核，从而证明其稳定性的小扰动。
We consider the mean-field vortex solutions and their stability within a two-component Bose Einstein condensate in the immiscible limit. A variational approach is employed to study a system consisting of a majority component which contains a single quantised vortex and a minority component which fills the vortex core. We show that a super-Gaussian function is a good approximation to the two-component vortex solution for a range of atom numbers of the in-filling component, by comparing the variational solutions to the full numerical solutions of the coupled Gross-Pitaevskii equations. We subsequently examine the stability of the vortex solutions by perturbing the in-filling component away from the centre of the vortex core, thereby demonstrating their stability to small perturbations.