We study the problem of the stability of a two-component droplet. The standard solution [D. S. Petrov, Phys. Rev. Lett. 115, 155302 (2015)] is based on a particular form of the mean field energy functional, in particular on the assumption of vanishing of potentially large hard-mode-source energy contribution. This imposes a constraint on the densities of the two components. The problem is reduced to stability analysis of a one-component system. As opposed to this, we present a two-component approach including possible nonzero hard-mode-source energy. We minimize the energy under conditions corresponding to the experimentally relevant situation where volume is free and atoms can evaporate. For the specific case of a two-component Bose-Bose droplet we find approximate analytic solutions and compare them to the standard result. We show that the densities of a stable droplet are limited to a range depending on interaction strength, in contrast to the original unique solution.

中文翻译：

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再谈两组分量子液滴的稳定性问题

我们研究了两组分液滴的稳定性问题。标准溶液[DS Petrov，Phys。牧师 115，155302（2015）]是基于平均场能量函数的一种特定形式，尤其是基于潜在的大量硬模式源能量贡献消失的假设。这对两个组件的密度施加了约束。该问题被简化为单组件系统的稳定性分析。与此相对，我们提出了一种包括可能的非零硬模式源能量在内的两成分方法。我们在与实验相关的情况相对应的条件下将能量最小化，其中体积没有空间并且原子可以蒸发。对于两组分Bose-Bose液滴的特定情况，我们找到了近似的解析解并将它们与标准结果进行比较。我们证明了稳定液滴的密度取决于相互作用强度而限制在一定范围内，