Landau-Zener problem in a three-level neutrino system with non-linear time dependence
High Energy Physics - Phenomenology
2008-11-26 v2 Astrophysics
Quantum Physics
Abstract
We consider the level-crossing problem in a three-level system with non-linearly time-varying Hamiltonian (time-dependence ). We study the validity of the so-called independent crossing approximation in the Landau-Zener model by making comparison with results obtained numerically in density matrix approach. We also demonstrate the failure of the so-called "nearest zero" approximation of the Landau-Zener level-crossing probability integral.
Keywords
Cite
@article{arxiv.hep-ph/0611037,
title = {Landau-Zener problem in a three-level neutrino system with non-linear time dependence},
author = {P. Keränen and J. Maalampi and M. Myyryläinen and J. Riittinen},
journal= {arXiv preprint arXiv:hep-ph/0611037},
year = {2008}
}
Comments
11 pages, 3 figures. To be published in Physical Review D