# Electron-positron pair production in an oscillating Sauter potential

## TL;DR

This study explores how oscillating parameters of a Sauter potential influence electron-positron pair production, revealing phase difference effects, optimal conditions, and the roles of multiphoton and Pauli blocking effects.

## Contribution

It introduces a detailed analysis of phase difference impacts on pair production in oscillating potentials, highlighting nonlinear dependencies and frequency effects.

## Key findings

- Phase difference significantly affects pair production rates.
- Optimal phase differences vary with oscillation frequency.
- Multiphoton effects enhance pair creation at high frequencies.

## Abstract

Electron-positron pair production in an oscillating Sauter potential is investigated in the framework of the computational quantum field theory. It is found that for a Sauter potential well with oscillating width and depth simultaneously, the phase difference between them has a great impact on the number of created electron-positron pairs. Optimal values of the phase difference corresponding to different oscillation frequencies are obtained. The optimal phase difference has a strong nonlinear dependence on oscillating frequency. When the potential well changes slowly, our results can be explained by the instantaneous bound states. For the higher frequency case, however, multiphoton effect is enhanced and the Pauli blocking effect has a strong inhibitory effect on pair creations. These results can provide a theoretical reference for the experimental creation of the electron-positron pairs.