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Conjecture on the impact of nonzero initial momentum on chaos diagnostics

Investigate how nonzero initial momentum in classical electron trajectories of the one-dimensional soft-Coulomb model subjected to a strong field affects established chaos diagnostics—maximal Lyapunov exponent, stroboscopic maps, maximal excursion in phase space, and power spectrograms—and determine the dependence of these metrics on the initial momentum and ionization time.

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Background

The authors discuss that nonzero initial momentum alters recollision dynamics and the attochirp curve, especially in contexts involving two-color counter-rotating fields and potential two-dimensional effects. They explicitly conjecture that this modification will affect all chaos metrics introduced in the paper.

Clarifying this would bridge semiclassical initial-state preparation (e.g., via tunneling or XUV-assisted ionization) with the robustness and interpretation of classical chaos diagnostics in HHG-related models.

References

We conjecture that it will also affect all the metrics used here to determine chaotic motion.

Attochaos I: The classically chaotic postcursor of high harmonic generation (2405.05804 - Berkheim et al., 9 May 2024) in Section “Future Work”, Subsection “Initial momentum and higher-dimensions driving schemes”