摘要
For Bose-Einstein condensation of neutral atoms in anisotropic traps at zero temperature, we present simple analytical methods for computing the properties of ground state and single vortex of Bose-Einstein condensates, and compare those results to extensive numerical simulations. The critical angular velocity for production of vortices is calculated for both positive and negative scattering lengths a, and find an analytical expression for the large-N limit of the vortex critical angular velocity for a 〉0, and the critical number for condensate population approaches the point of collapse for a 〈 0, by using approximate variational method.
基金
The project supported by the State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics Foundation under Grant No. T152501 and the Foundation of Education Commission of Zhejiang Province of China under Grant No. 20040599