论文标题
迈向基于QMC的密度功能，包括有限范围效果：$^{39} $ k量子液滴的激发模式
Towards a QMC-based density functional including finite-range effects: excitation modes of a $^{39}$K quantum droplet
论文作者
论文摘要
在不同超精细状态下的$^{39} $ K原子制成的量子液滴的实验结果之间的一些差异与它们在扩展的Gross-Pitaevskii理论中的分析（最近结合了均值较高校正）是通过将有限范围引入理论中的。在这里，我们使用第一原理量子蒙特卡洛计算构建的密度功能，研究了这些影响对单极和四极激发光谱的影响，可以轻松地在现有的Gross-Pitaevskii数值溶液中引入。我们的结果显示，与扩展的Gross-Pitaevskii理论中获得的差异最高为20美元\％$，这可能提供了另一种观察混合量子液滴中有限范围效应的方法，通过测量其最低的激发频率。
Some discrepancies between experimental results on quantum droplets made of a mixture of $^{39}$K atoms in different hyperfine states and their analysis within extended Gross-Pitaevskii theory (which incorporates beyond mean-field corrections) have been recently solved by introducing finite-range effects into the theory. Here, we study the influence of these effects on the monopole and quadrupole excitation spectrum of extremely dilute quantum droplets using a density functional built from first-principles quantum Monte Carlo calculations, which can be easily introduced in the existing Gross-Pitaevskii numerical solvers. Our results show differences of up to $20\%$ with those obtained within the extended Gross-Pitaevskii theory, likely providing another way to observe finite-range effects in mixed quantum droplets by measuring their lowest excitation frequencies.
