Electron wave-packet dynamics in a relativistic electromagnetic field: 3-D analytical approximation

Area of Science:

• Quantum Electrodynamics (QED)
• Strong-Field Physics
• Computational Physics

Background:

• Describing electron behavior in intense laser fields is crucial for understanding high-energy phenomena.
• Existing models often struggle to capture complex wave-packet dynamics under strong laser irradiation.

Purpose of the Study:

• To construct an analytical solution for the Klein-Gordon equation describing a laser-driven electron.
• To accurately model complex wave-packet dynamics, including shearing and multi-peak formation.

Main Methods:

• Utilized a superposition of Volkov states to construct the electron's wave function.
• Analytically evaluated the three-dimensional superposition integral for a Gaussian momentum distribution.
• Employed a Taylor series expansion of relativistic energy over scaled initial momenta.

Main Results:

• Developed a novel analytical solution applicable to strong laser fields.
• The solution successfully preserves intricate wave-packet dynamics like shearing and multi-peak formation.
• Demonstrated applicability across a significant parameter space of current intense ultra-short laser systems.

Conclusions:

• The constructed solution offers a powerful tool for theoretical investigations in strong-field QED.
• This analytical approach provides insights into electron behavior under extreme laser conditions.
• The findings are relevant for experiments utilizing state-of-the-art intense ultra-short laser facilities.