Exact matrices for higher-dimensional representations of generalized Landau-Zener Hamiltonians
Phys. Rev. A 113, 012201 – Published 2 January, 2026
DOI: https://doi.org/10.1103/sblf-75mc
Abstract
We explore integrable Landau-Zener-type Hamiltonians through a Lie-algebraic framework formulated in the Heisenberg picture. This formulation provides a unified method for handling higher-dimensional representations and enables a more direct extraction of the corresponding scattering matrices. We apply this framework to known models, including higher-spin representations of the SU(2) Landau-Zener model and the three-dimensional Demkov-Osherov model, where we demonstrate its effectiveness in obtaining exact scattering matrices minimally. Finally, we extend the analysis to the four-dimensional Demkov-Osherov model, where we present an exactly solvable six-dimensional Landau-Zener Hamiltonian.
