稀玻色气体通过幂律势的相互作用
Dilute Bose gases interacting via power-law potentials
摘要：
中性原子通过范德瓦尔斯势相互作用，该势以r^{-6}的形式渐近下降。在超冷气体中，这种相互作用可以用原子-原子散射长度来描述。然而，出现的修正取决于范德华势的特征长度。我们参数化这些修正通过分析两个和几个原子系统的能量下的外部谐波限制，通过数值和解析求解薛定谔方程。我们将我们的结果推广到通过长程势相互作用的粒子，该长程势以r^{-4}的形式渐近下降。
英文摘要：
Neutral atoms interact through a van der Waals potential which asymptotically falls off as r^{-6}. In ultracold gases, this interaction can be described to a good approximation by the atom-atom scattering length. However, corrections arise that depend on the characteristic length of the van der Waals potential. We parameterize these corrections by analyzing the energies of two- and few-atom systems under external harmonic confinement, obtained by numerically and analytically solving the Schrodinger equation. We generalize our results to particles interacting through a longer-ranged potential which asymptotically falls off as r^{-4}.
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