Non-Hermitian Landau Levels
Quantum Physics
2026-05-25 v1 Mesoscale and Nanoscale Physics
Abstract
We formulate non-Hermitian Landau levels in two-dimensional systems under a complex perpendicular magnetic field. In the symmetric gauge, we derive their discretely spaced, highly degenerate complex spectra and biorthogonal eigenstates, and clarify the role of non-unitary gauge transformations. A non-Hermitian Harper-Hofstadter lattice model confirms the continuum theory and reveals Gaussian wave packet dynamics governed by semiclassical equations with a complex Lorentz force, pointing to possible experimental realizations of complex magnetic fields.
Cite
@article{arxiv.2605.23613,
title = {Non-Hermitian Landau Levels},
author = {Anton Montag and Tomoki Ozawa},
journal= {arXiv preprint arXiv:2605.23613},
year = {2026}
}
Comments
9 pages, 3 figures