In the first experimental realization of dilute Bose-Bose liquid drops using two hyperfine states of $^{39}$K some discrepancies between theory and experiment were observed. The standard analysis of the data using the Lee-Huang-Yang beyond mean-field theory predicted critical numbers which were significantly off the experimental measurements. Also, the radial size of the drops in the experiment proved to be larger than expected from this theory. Using a new functional, which is based on quantum Monte Carlo results of the bulk phase incorporating finite-range effects, we can explain the origin of the discrepancies in the critical number. This result proves the necessity of including finite-range corrections to deal with the observed properties in this setup. The controversy on the radial size is reasoned in terms of the departure from the optimal concentration ratio between the two species of the mixture.

中文翻译：

---

超稀量子滴中的有限范围效应

在使用 $^{39}$K 的两个超精细状态的稀释 Bose-Bose 液滴的第一次实验实现中，观察到理论和实验之间的一些差异。使用超出平均场理论的 Lee-Huang-Yang 对数据进行的标准分析预测了与实验测量结果显着不同的临界数。此外，实验中液滴的径向尺寸证明大于该理论的预期。使用基于体相量子蒙特卡罗结果并结合有限范围效应的新泛函，我们可以解释临界数差异的起源。该结果证明了在此设置中包括有限范围校正以处理观察到的属性的必要性。