Landau-Zener problem in a three-level neutrino system with non-linear time dependence

Abstract

We consider the level-crossing problem in a three-level system with non-linearly time-varying Hamiltonian (time-dependence $t^{-3}$). 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.

11 pages, 3 figures. To be published in Physical Review D

References in corpus (6)

• Transition times in the Landau-Zener model
• Transport via a quantum shuttle
• Nonlinear level crossing models
• Coulomb blockade in superconducting quantum point contacts
• Curve crossing in linear potential grids: the quasidegeneracy approximation
• Effects of degenerate sterile neutrinos on the supernova neutrino flux

Cited by in corpus (3)

• Phase effects in neutrino conversions during a supernova shock wave
• Superparabolic Level Glancing Models for Two-State Quantum Systems
• Integrability in the multistate Landau-Zener model with time-quadratic commuting operators