Entropy of Schwinger pair production in time-dependent Sauter pulse electric field

• URL: http://arxiv.org/abs/2512.16328v1
• Date: Thu, 18 Dec 2025 09:09:53 GMT
• Title: Entropy of Schwinger pair production in time-dependent Sauter pulse electric field
• Authors: Zhi-Hang Yao, Hong-Hao Fan, Lie-Juan Li, Hai-Bo Sang, Bai-Song Xie,
• Abstract summary: entropy of electron-positron pair production in time-dependent Sauter pulse electric field is investigated.<n>Three types of entropy are $S_textE$, the other two extensions are thermal distribution entropy $S_textTh$.<n>The results presented in this study reveals that the different entropies have some delicate relationships among them.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate entropy of electron-positron pair production in time-dependent Sauter pulse electric field. Both cases of pair longitudinal momentum only and full momentum consideration are examined. We further examine three types of entropy, one is the usual entanglement entropy $S_{\text{E}}$, the other two extensions are thermal distribution entropy $S_{\text{Th}}$, and that with the chemical potential correction, $S_{\text{Th,CP}}$. For short pulse, $S_{\text{E}}$ is higher than $S_{\text{Th}}$ and vice versa for long pulse. The chemical potential causes the single-particle average thermal distribution entropy $\frac{S_{\text{Th,CP}}}{N}$ to exhibit non-monotonic behavior, similar to the single-particle average entanglement entropy $\frac{S_{\text{E}}}{N}$ in the short-pulse range. In the full momentum case, we calculate the thermal distribution entropy $S_{\text{Th, U}}$ via introducing the Unruh temperature as the local effective temperature. We find that both $S_{\text{Th, U}}$ and $S_{\text{E}}$ saturate asymptotically to the constant while the former has a larger asymptotic value. The results presented in this study reveals that the different entropies have some delicate relationships among them.

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