It was recently shown that wavepackets with a skewed momentum distribution exhibit a boomeranglike dynamics in the Anderson model due to Anderson localization: after an initial ballistic motion, they make a U-turn and eventually come back to their starting point. In this paper, we study the robustness of the quantum boomerang effect in various kinds of disordered and dynamical systems: tight-binding models with pseudorandom potentials, systems with band random Hamiltonians, and the kicked rotor. Our results show that the boomerang effect persists in models with pseudorandom potentials. It is also present in the kicked rotor, although in this case with a specific dependency on the initial state. On the other hand, we find that random hopping processes inhibit any drift motion of the wavepacket and, consequently, the boomerang effect. In particular, if the random nearest-neighbor hopping amplitudes have zero average, the wavepacket remains in its initial position.

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量子回旋镖效应：超越标准的安德森模型

最近的研究表明，由于安德森定位，具有偏斜动量分布的波包在安德森模型中表现出类似回旋镖的动力学：在初始弹道运动后，它们会掉头并最终回到起点。在本文中，我们研究了各种无序和动态系统中量子回旋镖效应的鲁棒性：具有伪随机势的紧束缚模型、具有带随机哈密顿量的系统和踢动转子。我们的结果表明，回旋镖效应在具有伪随机势的模型中持续存在。它也存在于被踢动的转子中，尽管在这种情况下与初始状态有特定的相关性。另一方面，我们发现随机跳跃过程抑制了波包的任何漂移运动，从而抑制了回旋镖效应。特别是，