Quantum processes in short and intensive electromagnetic fields
Alexander I. Titov, Burkhard Kampfer, Atsushi Hosaka, and Hideaki, Takabe

TL;DR
This paper reviews recent advances in understanding quantum processes like electron-positron pair production and non-linear Compton scattering in short, intense laser fields, highlighting the roles of pulse shape and non-linear dynamics.
Contribution
It provides new expressions for production probabilities and cross sections, facilitating the study of plasma evolution in strong electromagnetic fields.
Findings
Probabilities depend on pulse shape and duration.
Non-linear dynamics significantly influence particle interactions.
Formulas enable better modeling of plasma behavior in laser fields.
Abstract
This work provides an overview of our recent results in studying two most important and widely discussed quantum processes: electron-positron pairs production off a probe photon propagating through a polarized short-pulsed electromagnetic (e.g.\ laser) wave field or generalized Breit-Wheeler process, and a single a photon emission off an electron interacting with the laser pules, so-called non-linear Compton scattering. We show that the probabilities of particle production in both processes are determined by interplay of two dynamical effects, where the first one is related to the shape and duration of the pulse and the second one is non-linear dynamics of the interaction of charged fermions with a strong electromagnetic field. We elaborate suitable expressions for the production probabilities and cross sections, convenient for studying evolution of the plasma in presence of strong…
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