Creation mechanism of electron–positron pair on equally spaced multiple localized fields

Abstract

We investigate the electron–positron creation process from multiple equally spaced distributed oscillating electric fields. The computational quantum field theory (CQFT) is applied to analyze the effect of the number of local fields, the distance between them, and their potential height on the created particle number. It is found that whether adjacent electric fields overlap plays an important role. The creation rate exhibits a direct linear relationship with the number of fields when they do not overlap, but exceeds the sum of the rate when the fields alone. They exhibit a distinctly nonlinear relationship when they overlap, and in particular exhibit a quadratic relationship when the fields completely overlap. These phenomena corroborate that the particle pair creation in the interaction region is non-uniform and influenced by the strength of the central strongest electric field.