论文标题
两体零交叉附近的玻色子的高阶有效相互作用
Higher-order effective interactions for bosons near a two-body zero crossing
论文作者
论文摘要
我们通过两体潜在的$ v $消失的平均值来开发玻色子的扰动理论。我们发现，对能源的非局部贡献以$ v $的第三顺序出现，代表了有效的三体相互作用，在大多数情况下（尽管不是通常）的迹象与$ v $的远距离尾巴的标志是反相关的。对于一些特定的两体相互作用电位，获得了明确的结果，我们对准低维几何形状中的倾斜偶极子进行了详细的扰动分析。
We develop the perturbation theory for bosons interacting via a two-body potential $V$ of vanishing mean value. We find that the leading nonpairwise contribution to the energy emerges in the third order in $V$ and represents an effective three-body interaction, the sign of which in most cases (although not in general) is anticorrelated with the sign of the long-range tail of $V$. Explicit results are obtained for a few particular two-body interaction potentials and we perform a detailed perturbative analysis of tilted dipoles in quasi-low-dimensional geometries.
