环形势阱中旋转玻色爱因斯坦凝聚体的基态性质

In this paper, the Thomas-Fermi approximation(TFA) and the imaginary-time propagation method are respectively used to obtain the ground states of rotating Bose-Einstein condensates in an annular trap. The ground state density profiles of the condensate can experience a transition from the vortex lattice phase to giant vortex phase with the increase of the angular frequency when the width are fixed and the center height of the trap potential or with the increase of the width and the center height of the trap potential when the angular frequency is fixed. Particularly, with the increase of the width and the center height of the trap potential when the angular frequency vanishes. Finally, the comparison of the ground states density profiles, respectively, obtained by analytical method and the numerical method are also invesgated.