Theoretical studies of quantum vortices in Bose-Einstein condensates

几个实验小组已经成功地利用费什巴赫共振实现了中性原子气体的BCS超流体，如^6Li和^&lt；40；K。在实际情况下，我们通过求解Bogoliubov-de Gennes方程来研究上自旋原子和自旋原子数不相等时的超流体。我们发现在零温下，基态可以用Fulde-Ferrell-Larkin-Ovchinnikov态来描述，其中序参数在空间上改变了符号，我们在数目不平衡和温度的情况下构造了一个相图。

Several experimental groups have succeeded in achieving BCS superfluids of neutral atom gases, suchas ^6Li and ^<40>K by utilizing Feshbach resonance. We investigate these superfluids when up spin atom and a own spin atom numbers are unequal by solving Bogoliubov-de Gennes equation under realistic situations. We have found that at zero temperature the ground state can be described by Fulde-Ferrell-Larkin-Ovchinnikov state where the order parameter changes its sign spatially, we constructed a phafe diagram in the plase of number imbalance and temperature.