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

Landau-Zener problem in a three-level neutrino system with nonlinear time dependence We consider the level-crossing problem in a three-level system with nonlinearly 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 the density matrix approach. We also demonstrate the failure of the so-called “nearest zero” approximation of the Landau-Zener level-crossing probability integral. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

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

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References (8)

Publisher
American Physical Society (APS)
Copyright
Copyright © 2007 The American Physical Society
ISSN
1550-2368
DOI
10.1103/PhysRevD.75.033006
Publisher site
See Article on Publisher Site

Abstract

We consider the level-crossing problem in a three-level system with nonlinearly 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 the density matrix approach. We also demonstrate the failure of the so-called “nearest zero” approximation of the Landau-Zener level-crossing probability integral.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Feb 1, 2007

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