Finite number of vortices and bending of finite vortex lines in a confined rotating Bose-Einstein condensate
Finite number of vortices and bending of finite vortex lines in a confined rotating Bose-Einstein condensate
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DOI：
10.1140/epjd/e2006-00195-x
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Z. Chen;Y. L. Ma
中科院分区：
文献类型：
--
作者：
Z. Chen;Y. L. Ma
本文推广了[Y.卡斯廷河Dum，Eur. D 7，399（1999）]，并考虑到有限尺寸对z方向的影响和有限涡线的弯曲。作为陷阱的旋转频率的函数的旋涡的能量的计算给出了自洽的旋涡的数目、曲率、配置和涡核的宽度。数值结果表明：（1）在几种涡旋构型中，最简单的正则多项式在能量上是有利的，而六角涡旋点阵比正方形涡旋点阵更稳定;（2）当λ<1时，沿z轴弯曲比直涡旋线沿着更稳定;（3）边界效应明显：与无限大边界下的估算结果相比，有限尺寸效应导致涡密度降低，而增加涡弯曲效应导致涡密度因膨胀而有所降低。所得结果与其他作者的结果一致。
The minimal energy configurations of finite Nv-body vortices in a rotating trapped Bose-Einstein condensate is studied analytically by extending the previous work [Y. Castin, R. Dum, Eur. Phys. J. D7, 399 (1999)], and taking into account the finite size effects on z-direction and the bending of finite vortex lines. The calculation of the energy of the vortices as a function of the rotation frequency of the trap gives number, curvature, configuration of vortices and width of vortex cores self-consistently. The numerical results show that (1) the simplest regular polynomial of the several vortex configurations is energetically favored; while the hexagonal vortex lattice is more stable than square lattice; (2) bending is more stable then straight vortex line along the z-axis for λ<1; (3) the boundary effect is obvious: compared with the estimation made under infinite boundary, the finite size effect leads to a lower vortex density, while the adding vortex bending results in a less higher density because of the expansion. The results are in well agreement with the other authors' ones.