State-resolved quantum transport of vortex electrons in accelerators
Abstract
Vortex electrons carry a quantized orbital angular momentum (OAM) degree of freedom, but whether this internal structure can survive repeated transport through an accelerator lattice remains unclear. Here we formulate a density-matrix theory for periodic round lattices and show that the symmetry-protected quantity is a Lewis-Floquet OAM invariant, rather than the instantaneous kinetic OAM. The classical transfer map lifts to unitary state evolution, while stochastic field errors generate a Lindblad channel. This framework exposes a sharp separation between visibility and state survival. Dipole jitter displaces the wavepacket, rapidly smearing a vortex signature measured about a fixed origin without altering its recentered internal OAM distribution. Quadrupole fluctuations instead drive genuine Δℓ=±2 leakage. For a matched n=0, |ℓ|=1 mode, white-noise estimates based on representative IOTA and PETRA III parameters give fixed-frame smearing scales of 4.9×102 and $3.3$ turns, but intrinsic-leakage scales of 2.1×105 and 2.2×106 turns, respectively. Thus loss of an unrecentered vortex image need not signal destruction of the vortex state: its internal OAM structure can persist hundreds to hundreds of thousands of times longer. Centroid tracking and quadrupole stability are therefore distinct experimental requirements for observability and state survival, respectively.
Related
- Quantum transport of vortex electrons in bending magnets and circular accelerators
- Wakefield-Dressed Relativistic Vortex Electrons in Plasma Accelerators
- RF Power Transport for Accelerators
- Dynamics of Vortex Electrons in a Uniform Magnetic Field Across Nonrelativistic and Relativistic Regimes
- Energy-Resolved Cross-Correlation of THz Field Emission of Electrons from a Metal Nanotip
BibTeX
@misc{baturin2026stateresolved,
title = {{State-resolved quantum transport of vortex electrons in accelerators}},
author = {S. S. Baturin},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.11934},
eprint = {2608.11934},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.11934},
}
RIS
TY - UNPB
TI - State-resolved quantum transport of vortex electrons in accelerators
AU - S. S. Baturin
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2608.11934
UR - https://arxiv.org/abs/2608.11934
AB - Vortex electrons carry a quantized orbital angular momentum (OAM) degree of freedom, but whether this internal structure can survive repeated transport through an accelerator lattice remains unclear. Here we formulate a density-matrix theory for periodic round lattices and show that the symmetry-protected quantity is a Lewis-Floquet OAM invariant, rather than the instantaneous kinetic OAM. The classical transfer map lifts to unitary state evolution, while stochastic field errors generate a Lindblad channel. This framework exposes a sharp separation between visibility and state survival. Dipole jitter displaces the wavepacket, rapidly smearing a vortex signature measured about a fixed origin without altering its recentered internal OAM distribution. Quadrupole fluctuations instead drive genuine Δℓ=±2 leakage. For a matched n=0, |ℓ|=1 mode, white-noise estimates based on representative IOTA and PETRA III parameters give fixed-frame smearing scales of 4.9×10^2 and $3.3$ turns, but intrinsic-leakage scales of 2.1×10^5 and 2.2×10^6 turns, respectively. Thus loss of an unrecentered vortex image need not signal destruction of the vortex state: its internal OAM structure can persist hundreds to hundreds of thousands of times longer. Centroid tracking and quadrupole stability are therefore distinct experimental requirements for observability and state survival, respectively.
ER -