论文标题

时空解决量子场方法,用于跨有限障碍的klein隧道动力学

Space-time resolved quantum field approach to Klein tunneling dynamics across a finite barrier

论文作者

Alkhateeb, M., Matzkin, A.

论文摘要

我们通过有限的潜在障碍研究Klein隧道,并通过时空解决方案将相对论量子场方程式进行研究。我们发现,即使在谐振隧道的情况下,也没有粒子实际上通过有限的超临界屏障。相反,传输是由传入电子引起的屏障的每个边缘的调制速率介导的。我们进一步研究了屏障的宽度对费米子情况下产生的对数量(以饱和为特征)和玻色子案(以指数超级的为特征)。这项工作为对超临界障碍的辐射动力学的精确研究铺平了道路,并且可以应用于通过相对论波方程建模的系统中观察到的klein隧道的某些类似物。

We investigate Klein tunneling through finite potential barriers with space-time resolved solutions to relativistic quantum field equations. We find that no particle actually tunnels through a finite supercritical barrier, even in the case of resonant tunneling. The transmission is instead mediated by modulations in pair production rates, at each edge of the barrier, caused by the incoming electron. We further examine the effect of the barrier's width on the numbers of produced pairs in the fermionic case (characterized by saturation) and in the bosonic case (characterized by exponential superradiance). This work paves the way to precise studies of the radiating dynamics of supercritical barriers, and could be applied to certain analogs of Klein tunneling observed in systems modeled by relativistic wave equations.

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