研究了两分量旋转玻色爱因斯坦凝聚体在谐振子势与高斯势的联合势阱中的基态特性和自旋纹理。 通过托马斯-费米近似得到每组分凝聚体在相混合态时密度分布首次形成中心洞的临界旋转角频率,并根据旋转角频率与临界旋转角频率的关系,给出了两分量凝聚体的三种不同的基态密度分布:两个都是盘、一个是盘和另一个是环、两个都是环。对于相分离的情况,针对两分量粒子数严重不平衡的凝聚体分别作托马斯费米近似,解析地给出了两分量凝聚体的两种对称基态密度分布。同时研究了凝聚体在两分量的界面处形成的两种赝自旋纹理,它们分别是巨斯格明子和同轴双环斯格明子。

The Thomas-Fermi approximation (TFA) method is used to obtain the ground states of two-component Bose-Einstein condensates (BECs) confined in a rotating harmonic plus Gaussian trap. For the two-component miscible BECs, we present a phase diagram showing three kinds of density profiles of the ground states that are two disc shaped, one disc and another annulus shaped, and two annulus shaped according to the relationship of rotating angular velocity and the critical angular velocity. For the two-component immiscible BECs with particle number grave imbalance, we have given their symmetric density distribution of the ground state based on the TFA. We have also studied the spin textures of the two-component immiscible BECs confined in a harmonic plus Gaussian trap, and we have found two kinds of symmetrical structures of the spin textures, which are giant skyrmion and concentric double-annulus skyrmion.