论文标题
对于三维偶极杆气的绝热扫描定理
Adiabatic sweep theorem for three-dimensional dipolar Bose gases
论文作者
论文摘要
在偶极 - 偶极相互作用存在下散射长度的变异定理。定理在三个维度上应用于无旋转的偶极bose气体。我们通过分析单粒子动量分布和静态结构因子的远距离尾部，并在短距离内进行静态分布函数。与各向异性预成分相反，动量分布与$ q^4 $成反比。在没有偶极 - 偶极相互作用的情况下，Tan的绝热扫描定理被复制为特定情况。对于均匀的稀释玻色气体，所有关系都是通过分析计算的。
The variational theorem for the scattering length in the presence of the dipole-dipole interaction is developed. The theorem is applied to the spinless dipolar Bose gas in three dimensions. We calculated analytically the long-range tails of the single-particle momentum distribution and static structure factor, and the pair distribution function at short distances. The momentum distribution is inversely proportional to $q^4$ with the anisotropic prefactor. In the absence of the dipole-dipole interaction, Tan's adiabatic sweep theorem is reproduced as a particular case. For the homogeneous dilute Bose gas, all the relations are calculated analytically.
