We study an impurity immersed in the mixture of Bose ultracold gases in the regime where a quantum droplet (QD) exists. The quasi-one-dimensional geometry is considered. We find an effective attractive potential, which acts by the QD onto the impurity. The bound states of the impurity in this potential are investigated. These impurity-bound states can provide potential probes for the presence of quantum fluctuation effects on the droplet properties. In the case of strong impurity–Bose–Einstein condensate coupling we study the properties of the nonlinear local modes on the impurity induced by the quantum fluctuations.

中文翻译：

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Bose-Bose混合物中的一维量子液滴中的硼杂质

我们研究了在存在量子滴（QD）的情况下浸入Bose超冷气体混合物中的杂质。考虑准一维几何。我们发现了一种有效的吸引潜力，它由量子点作用于杂质上。研究了该电势中杂质的结合态。这些与杂质结合的状态可以提供潜在的探针，以发现对液滴性质的量子涨落效应。在强杂质-玻色-爱因斯坦凝聚体耦合的情况下，我们研究了由量子涨落引起的杂质上非线性局部模的性质。