We investigate the effective interaction between two heavy impurities immersed in a quasi-two-dimensional dipolar Bose–Einstein condensate via a variation approach. We show that the mediated interaction is highly tunable via the contact and the dipole–dipole interactions between the background gas atoms. Interestingly, the mediated interaction potential may become an oscillating function of inter-impurity distance when roton excitation emerges under sufficiently strong dipolar interaction. Our system therefore provides an efficient way for tuning the mediated interaction between impurities.

中文翻译：

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准二维偶极玻色-爱因斯坦凝聚物中两种杂质之间的有效相互作用

我们通过变分方法研究了浸入准二维偶极玻色-爱因斯坦凝聚物中的两种重质杂质之间的有效相互作用。我们表明，通过背景气体原子之间的接触和偶极-偶极相互作用，介导的相互作用是高度可调的。有趣的是，当鲁顿激发在足够强的偶极相互作用下出现时，介导的相互作用势可能成为杂质间距离的振荡函数。因此，我们的系统提供了一种有效的方法来调节杂质之间的介导相互作用。