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Comment on "Angular momentum dynamics of vortex particles in accelerators''

Accelerator Physics 2026-04-21 v1 High Energy Physics - Phenomenology Optics Quantum Physics

Abstract

We comment on Ref.[D. Karlovets, D. Grosman, and I. Pavlov, Phys. Rev. Lett. 136, 085002 (2026)], which proposes a BMT-like equation for the mean kinetic orbital angular momentum (OAM) of vortex particles in accelerator fields and draws spin-like conclusions about depolarization, resonances, and control. We show that the proposed closure is not generally valid even at the mean-value level. In the authors' own homogeneous-field model, Eq.(8) already makes Lz\langle L_z\rangle depend on the packet second moment ρ2(τ)\langle \rho^2\rangle(\tau); for an exact family of breathing Landau/LG packets this yields an explicit oscillation incompatible with Eq.(9) except in the nongeneric matched case. Moreover, the Appendix A assumption that mixed correlators are negligible suppresses the transverse kinetic-OAM components themselves, since those correlators are precisely the building blocks of LxL_x and LyL_y. We also stress that, even if a closed equation for L^\langle \hat{\mathbf L}\rangle were available, it would still not constitute a transport equation for a vortex quantum state. Mean-OAM transport does not determine OAM spectra, inter-mode coherences, or fidelity. State-level claims therefore require a mode-resolved density-matrix treatment rather than an Ehrenfest equation for a low-order moment.

Keywords

Cite

@article{arxiv.2604.16544,
  title  = {Comment on "Angular momentum dynamics of vortex particles in accelerators''},
  author = {S. S. Baturin},
  journal= {arXiv preprint arXiv:2604.16544},
  year   = {2026}
}

Comments

4 pages. This is the comment on the paper D. Karlovets, D. Grosman, and I. Pavlov, Phys. Rev. Lett. 136, 085002 (2026) DOI https://doi.org/10.1103/gsrz-cscl. ArXiv ID arXiv:2507.08763

R2 v1 2026-07-01T12:15:11.981Z