Electron-positron pair production in combined Sauter potential wells

TL;DR

This study investigates electron-positron pair production in combined static and oscillating Sauter potentials, revealing how pair gain depends on potential depth and oscillation frequency, with nonlinear behaviors and optimal parameters identified.

Contribution

It introduces a computational quantum field theory approach to analyze pair production in combined potentials and uncovers the sensitivity of pair gain to potential parameters.

Findings

Pair gain depends strongly on static potential depth and oscillating frequency.

Gain is more sensitive to frequency than to depth, especially in low-frequency regimes.

Optimal frequency and depth for maximum pair gain are identified.

Abstract

Electron-positron pair production, in combined Sauter potential wells and an oscillating one is imposed on a static Sauter potential, is investigated by using the computational quantum field theory. We find that the gain number (the difference of pair number under combined potentials to the simple addition of pair number for each potential) of the created pairs depends strongly on the depth of static potential and the frequency of oscillating potential. In particular, it is more sensitive to the frequency compared with the depth. For the low-frequency multiphoton regime, the gaining is almost positive and exhibits interesting nonlinear characteristics on both depth and frequency. For the single-photon regime, however, the gaining is almost negative and decreases near linearly with depth while it exhibits an oscillation characteristic with frequency. Furthermore, the optimal frequency and depth of gain number are found and discussed.