Fast rotating condensates in an asymmetric harmonic trap
Fast rotating condensates in an asymmetric harmonic trap
复制标题
不对称谐波陷阱中的快速旋转冷凝
DOI：
--
复制
发表时间：
2008
期刊：
影响因子：
--
通讯作者：
N. Lerner
中科院分区：
文献类型：
--
作者：
A. Aftalion;X. Blanc;N. Lerner
我们研究了谐波陷阱的各向异性对快速旋转玻色-爱因斯坦凝聚态行为的影响。当旋转速度接近最小捕获频率时，达到快速旋转，从而解除相应方向上的凝结水的限制。一个引人注目的新特征是基态不存在可见涡旋。凝聚体可以用最低的朗道能级状态集来描述，但使用扭曲的复坐标。我们发现粗粒原子密度在去约束方向上表现得像一个具有大半径的倒抛物线，而在另一个方向上像一个固定的高斯曲线。它没有可见的涡旋，但有恢复混合托马斯-费米高斯分布所需的不可见涡旋。存在一种小各向异性和中等旋转速度的状态，其行为类似于各向同性情况：涡旋的六边形阿布里科索夫晶格，具有倒抛物线轮廓。
We investigate the effect of the anisotropy of a harmonic trap on the behaviour of a fast rotating Bose-Einstein condensate. Fast rotation is reached when the rotational velocity is close to the smallest trapping frequency, thereby deconfining the condensate in the corresponding direction. A striking new feature is the non-existence of visible vortices for the ground state. The condensate can be described with the lowest Landau level set of states, but using distorted complex coordinates. We find that the coarse grained atomic density behaves like an inverted parabola with large radius in the deconfined direction, and like a fixed Gaussian in the other direction. It has no visible vortices, but invisible vortices which are needed to recover the mixed Thomas-Fermi Gaussian profile. There is a regime of small anisotropy and intermediate rotational velocity where the behaviour is similar to the isotropic case: a hexagonal Abrikosov lattice of vortices, with an inverted parabola profile.