Optimal supercritical potentials for the electron-positron pair-creation rate
Optimal supercritical potentials for the electron-positron pair-creation rate
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DOI：
10.1103/physreva.100.012518
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发表时间：
2019-07
影响因子：
2.9
通讯作者：
J. Unger;S. Dong;Q. Su;R. Grobe
中科院分区：
文献类型：
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作者：
J. Unger;S. Dong;Q. Su;R. Grobe
我们研究了具有任意空间依赖性的超临界电势的稳态电子-正电子对产生速率。数值优化算法预测，可以最大限度地提高给定能量的正电子生产率的一组外部场将采取非平凡的空间形状。我们基于一个简单的分析模型解释了潜在的物理机制，该模型利用狄拉克哈密顿量的负能量本征态之间的共振。从实验的角度来看，结果相当令人鼓舞，因为它们表明不需要无法实现的无限大的字段来最大化可能的配对生成产量。事实上，在许多情况下，在给定的能量范围内，较小的电场会令人惊讶地带来更大的产量。
We examine the steady state electron-positron pair creation rate for supercritical electric potentials with arbitrary spatial dependence. The numerical optimization algorithms predict that the set of external fields that can maximize the production rate for positrons with a given energy take non-trivial spatial shapes. We explain the underlying physical mechanisms based on a simple analytical model that exploits resonances among the negative energy eigenstates of the Dirac Hamiltonian. The results are rather encouraging from an experimental perspective as they suggest that one does not require unachievable infinitely large fields to maximize the possible pair creation yield. In fact, in many cases smaller electric fields lead surprisingly to larger yields for given energy ranges.