This study develops an experimental method of deducing the profile of interaction induced between impurities in a trapped gas of ultracold Fermi or Bose atoms, which are often referred to as Fermi or Bose polarons. In this method, we consider a two-body Fermi or Bose polaron collision experiment in which impurities and atoms interact only weakly. Numerical simulations of the quantum dynamics reveal the possibility to obtain information regarding the nonlocal-induced interaction between two polarons from a measured profile of the polaron wave packet at several snapshots. This is because the potential of the induced interaction is well balanced by the quantum potential whenever the WKB approximation for the relevant Schrödinger equation is applicable.

中文翻译：

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从碰撞动力学中提取非局部极化子相互作用

这项研究开发了一种实验方法，可以推断超冷费米原子或玻色子原子的捕获气体中的杂质之间的相互作用所引起的相互作用，这些杂质通常被称为费米或玻色子极化子。在这种方法中，我们考虑了一个两体费米或玻色极化子碰撞实验，其中杂质和原子之间的相互作用很小。量子动力学的数值模拟显示了从极化子波包在几个快照中测得的轮廓中获得有关两个极化子之间非局部诱导相互作用的信息的可能性。这是因为只要相关Schrödinger方程的WKB近似适用，诱导相互作用的电势就可以由量子电势很好地平衡。