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Cite this article as: Luo Cai-Qing,Ren Yun-Liang,Ibrahim Sitiwaldi. Pair Production under Inhomogeneous Strong Laser [J]. J. At. Mol. Phys.(原子与分子物理学报), 2025, 42: 025001 (in Chinese)
Pair Production under Inhomogeneous Strong Laser
Hits 185  Download times 294  Received:June 16, 2023  Revised:June 30, 2023
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DOI   10.19855/j.1000-0364.2025.025001
Key Words   Strong laser  Schwinger effect  Quantum field theoretical simulations  Inhomogeneous electric field  Spatial spectrum
Author NameAffiliationE-mail
Luo Cai-Qing Xinjiang University luocq2021@stu.xju.edu.cn 
Ren Yun-Liang Xinjiang University  
Ibrahim Sitiwaldi* Xinjiang University ibrahim010@sina.com 
Abstract
    With the fast development of strong field technology, it is possible to hold an experiment in the near future to test the Schwinger effect. Therefore, theoretical studies on the Schwinger effect are essential to support the upcoming experiment. In this paper, we use quantum field theory simulation method to study the spatial feature of the Schwinger effect in a non-uniform electric field. It is found that the spatial width of the electric field significantly affects the production rate, momentum spectrum and spatial spectrum of electron-positron pairs while the energy remains constant. The momentum and spatial spectra of electron-positron pairs show that when the spatial width of the electric field increases and the electric field intensity is less than the Schwinger threshold, the produced electron-positron pairs cannot be separated in time, which suppress the generation of the electron-positron pairs. At last, the continuity equation is used to calculate the location-based production rate, which shows that the production position distribution of electron-positron pairs corresponds to the electric field intensity distribution, and the final distribution position of electron and positron is separated by one Compton wavelength. These results show the spatial characteristics of Schwinger effect, and explain the suppression mechanism of Schwinger effect under a weak electric field.

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