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PreprintarXiv licencearXiv

Rapidity-Coupled Spin Dynamics in Pulsed Laser Fields from Physics-Informed Neural Networks

Abstract

Carrier-envelope-phase (CEP) stabilized few-cycle pulses make the sub-cycle field structure a control parameter for laser-driven polarized electron sources, yet spin solvers for such pulses are rarely tested against exact results. We show that for an electron initially at rest in a linearly polarized plane-wave pulse the rest-frame polarization angle follows the instantaneous vector potential, Σ= 2arctan(ax/2) + ae ax with ae the electron anomaly: the net rotation vanishes for every CEP, while the peak intra-pulse angle varies over the CEP by 3.02 degrees for a two-cycle and by 0.22 degrees for an eight-cycle pulse. The result follows from the Volkov orbit in longitudinal and transverse rapidities. We use it to validate a light-front reference integrator and a physics-informed neural network trained only on the light-front equations, which reaches 4×10−5 in the spin sector and carries over to elliptical polarization, for which no closed-form solution is known. This gives validated tools for CEP-resolved spin dynamics in intense fields.

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BibTeX
@misc{akintsov2026rapiditycoupled,
  title = {{Rapidity-Coupled Spin Dynamics in Pulsed Laser Fields from Physics-Informed Neural Networks}},
  author = {N. S. Akintsov and A. P. Nevecheria and S. N. Andreev and Qing-Hua Qin},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.19756},
  eprint = {2609.19756},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.19756},
}
RIS
TY  - UNPB
TI  - Rapidity-Coupled Spin Dynamics in Pulsed Laser Fields from Physics-Informed Neural Networks
AU  - N. S. Akintsov
AU  - A. P. Nevecheria
AU  - S. N. Andreev
AU  - Qing-Hua Qin
PY  - 2026
DA  - 2026/09/17
PB  - arXiv
DO  - 10.48550/arxiv.2609.19756
UR  - https://arxiv.org/abs/2609.19756
AB  - Carrier-envelope-phase (CEP) stabilized few-cycle pulses make the sub-cycle field structure a control parameter for laser-driven polarized electron sources, yet spin solvers for such pulses are rarely tested against exact results. We show that for an electron initially at rest in a linearly polarized plane-wave pulse the rest-frame polarization angle follows the instantaneous vector potential, Σ= 2arctan(a_x/2) + a_e a_x with a_e the electron anomaly: the net rotation vanishes for every CEP, while the peak intra-pulse angle varies over the CEP by 3.02 degrees for a two-cycle and by 0.22 degrees for an eight-cycle pulse. The result follows from the Volkov orbit in longitudinal and transverse rapidities. We use it to validate a light-front reference integrator and a physics-informed neural network trained only on the light-front equations, which reaches 4×10^−5 in the spin sector and carries over to elliptical polarization, for which no closed-form solution is known. This gives validated tools for CEP-resolved spin dynamics in intense fields.
ER  -