State-resolved quantum transport of vortex electrons in accelerators
S. S. Baturin
Abstract
We develop a density-matrix theory of vortex-electron transport in accelerator lattices. In a periodic round lattice, the protected object is a Lewis-Floquet orbital angular momentum (OAM) invariant rather than the instantaneous kinetic OAM. Ideal transport has a metaplectic lift; stochastic imperfections generate a Lindblad channel. Dipole noise produces removable centroid smearing; quadrupole noise drives intrinsic Δ=2 leakage. Under explicit white-noise benchmarks, the inverse initial leakage scale is 2×105 turns for IOTA and 2×106 turns for PETRA III.
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