与翻滚粒子的衍射和干涉
Diffraction and interference with run-and-tumble particles
摘要：
今天经常被认为是模拟细菌运动的奔跑翻滚粒子，自然也会出现在生物学背景之外，例如在电报过程中产生波。在这里，我们使用一个波函数来驱动它们的推进和翻滚。这样的量子运动实现了狄拉克电子的抖动运动（如著名的Zitterbewegung）：狄拉克电子是一个运行和翻滚的粒子，其中翻滚是在手性之间。我们可视化的轨迹衍射和双缝实验的电子。特别是，这产生了电子在屏幕上的到达时间统计。最后，我们观察到，远离纯粹的量子制导，具有合适的时空相关参数的运行和翻滚粒子也会产生干涉图样。
英文摘要：
Run-and-tumble particles, frequently considered today for modeling bacterial locomotion, naturally appear outside a biological context as well, e.g. for producing waves in the telegraph process. Here, we use a wave function to drive their propulsion and tumbling. Such quantum-active motion realizes a jittery motion of Dirac electrons (as in the famous Zitterbewegung): the Dirac electron is a run-and-tumble particle, where the tumbling is between chiralities. We visualize the trajectories in diffraction and double slit experiments for electrons. In particular, that yields the time-of-arrival statistics of the electrons at the screen. Finally, we observe that away from pure quantum guidance, run-and-tumble particles with suitable spacetime-dependent parameters produce an interference pattern as well.
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