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arXiv 0804.0971cond-mat.other
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非对称谐波阱中的快速旋转凝聚体

Fast rotating condensates in an asymmetric harmonic trap

Amandine Aftalion, Xavier Blanc, Nicolas Lerner

摘要:

本文研究了谐波势阱的各向异性对快速旋转的玻色-爱因斯坦凝聚体行为的影响。当旋转速度接近最小捕获频率时,达到快速旋转,从而在相应方向上使冷凝物去澄清。一个引人注目的新特征是基态不存在可见的涡旋。凝聚态可以用最低的朗道能级态集来描述,但使用的是扭曲的复坐标。我们发现,粗粒原子密度在去精细方向上表现为一个大半径的倒抛物线,而在另一个方向上表现为一个固定的高斯分布。它没有可见的旋涡,但不可见的旋涡,需要恢复混合的高斯分布。有一个制度的小各向异性和中间的旋转速度的行为是类似的各向同性的情况下:一个六边形的Abrikosov晶格的漩涡,与一个倒抛物线的轮廓。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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