We study the dynamical response of a harmonically trapped two-component few-fermion mixture to the external Gaussian potential barrier moving across the system. The simultaneous role played by inter-particle interactions, rapidity of the barrier, and the fermionic statistics is explored for systems containing up to four particles. The response is quantified in terms of the temporal fidelity of the time-evolved state and the amount of quantum correlations between components being dynamically generated. Results are also supported by analysis of the single-particle densities and temporal number of occupied many-body eigenstates. In this way, we show that the dynamical properties of the system crucially depend on non-trivial mutual relations between temporal many-body eigenstates, and in consequence, they lead to volatility of the dynamics. Counterintuitively, imbalanced systems manifest much higher resistivity and stability than their balanced counterparts.

我们研究了谐波捕获的两组分少费米子混合物对穿过系统的外部高斯势垒的动力学响应。对于包含多达四个粒子的系统，探索了粒子间相互作用、势垒的快速性和费米子统计同时发挥的作用。响应根据时间演化状态的时间保真度和动态生成的组件之间的量子相关量进行量化。结果也得到了对单粒子密度和被占据的多体本征态的时间数的分析的支持。通过这种方式，我们表明系统的动力学特性关键取决于时间多体本征态之间的非平凡相互关系，因此，它们导致动力学的波动。