Dirac-Heisenberg-Wigner formalism is used to study chirp effects on the vacuum pair creation under inhomogeneous electric fields. For rapidly oscillating electric fields, the particle momentum spectrum is sensitive to both of the spatial scale and the chirp parameter, and the external field width has less significant effect for the maximally large chirp. For slowly oscillating electric fields, chirp effects could be identified at large spatial extents and the carrier phase plays a significant role reflecting chirp effects even at small spatial scales. We also notice that, the local density approximation holds for all external field profiles considered in this work at the quasihomogeneous limit allowing one to use arguments from homogeneous scenarios to analyze inhomogeneous results.

中文翻译：

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空间不均匀性振荡电场对产生的啁啾效应

Dirac-Heisenberg-Wigner 形式主义用于研究在非均匀电场下对真空对产生的啁啾效应。对于快速振荡的电场，粒子动量谱对空间尺度和啁啾参数均敏感，而外场宽度对最大啁啾声的影响较小。对于缓慢振荡的电场，可以在较大的空间范围内识别啁啾效应，并且即使在小空间尺度上，载波相位也起着反映啁啾效应的重要作用。我们还注意到，局部密度近似适用于这项工作中在准齐次极限下考虑的所有外部场剖面，允许人们使用来自齐次场景的参数来分析非齐次结果。