We unravel the many-body dynamics of a harmonically trapped impurity colliding with a bosonic medium confined in a double well upon quenching the initially displaced harmonic trap to the center of the double well. We reveal that the emerging correlation dynamics crucially depends on the impurity-medium interaction strength allowing for a classification into different dynamical response regimes. For strong attractive impurity-medium couplings the impurity is bound to the bosonic bath, while for intermediate attractions it undergoes an effective tunneling. In the case of weak attractive or repulsive couplings the impurity penetrates the bosonic bath and performs a dissipative oscillatory motion. Further increasing the impurity-bath repulsion results in the pinning of the impurity between the density peaks of the bosonic medium, a phenomenon that is associated with a strong impurity-medium entanglement. For strong repulsions, the impurity is totally reflected by the bosonic medium. To unravel the underlying microscopic excitation processes accompanying the dynamics, we employ an effective potential picture. We extend our results to the case of two bosonic impurities and demonstrate the existence of a qualitatively similar impurity dynamics.

中文翻译：

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注入双阱俘获的玻色-爱因斯坦冷凝物中的杂质的多体碰撞动力学

当淬灭最初位移的谐波阱到双阱中心时，我们将解开一个谐波捕获的杂质与限制在双阱中的玻色子介质碰撞的多体动力学。我们揭示了新兴的相关动力学至关重要地取决于杂质-介质的相互作用强度，从而可以分类为不同的动力学响应机制。对于强吸引性的杂质-介质耦合，杂质被结合到硼离子浴中，而对于中间的吸引力，杂质则经历了有效的隧穿。在弱耦合或排斥耦合的情况下，杂质会渗透到玻色浴中并执行耗散的振荡运动。进一步提高杂质浴的排斥力会导致杂质固定在玻色子介质的密度峰之间，与强杂质-杂质缠结有关的现象。对于强排斥，杂质会被硼酸介质完全反射。为了揭示伴随动力学的潜在微观激励过程，我们采用了有效的势能图。我们将结果扩展到两个硼原子杂质的情况，并证明了定性相似的杂质动力学的存在。