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arXiv 0906.4259cond-mat.quant-gas
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偶极作用占主导地位的偶极凝聚中的涡旋

Vortices in dipolar condensates with dominant dipolar interactions

M. Abad, M. Guilleumas, R. Mayol, M. Pi, D. M. Jezek

摘要:

本文对旋转偶极凝聚体中的单涡旋态进行了全三维数值计算。本文研究了52 Cr原子在轴对称简谐势阱中的玻色-爱因斯坦凝聚体,其中原子间存在偶极-偶极相互作用和s波接触相互作用.在旋转坐标系下,我们通过数值求解Gross-Pitaevskii方程得到了涡旋态,没有进一步的近似。我们研究了单个涡旋的性质,并计算了不同s波散射长度值时的临界角速度。我们表明,而标准的变分方法打破了纯偶极相互作用的限制,精确的解决方案的Gross-Pitaevskii方程可以得到的s-波散射长度的值下降到零。对于旋转阱的不同角速度值,作为从旋转轴的涡旋位移的函数计算用于涡旋成核的能垒。

英文摘要:

We present full three-dimensional numerical calculations of single vortex states in rotating dipolar condensates. We consider a Bose-Einstein condensate of 52Cr atoms with dipole-dipole and s-wave contact interactions confined in an axially symmetric harmonic trap. We obtain the vortex states by numerically solving the Gross-Pitaevskii equation in the rotating frame with no further approximations. We investigate the properties of a single vortex and calculate the critical angular velocity for different values of the s-wave scattering length. We show that, whereas the standard variational approach breaks down in the limit of pure dipolar interactions, exact solutions of the Gross-Pitaevskii equation can be obtained for values of the s-wave scattering length down to zero. The energy barrier for the nucleation of a vortex is calculated as a function of the vortex displacement from the rotation axis for different values of the angular velocity of the rotating trap.

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