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

Abstract

We consider the level-crossing problem in a three-level system with nonlinearly time-varying Hamiltonian (time-dependence t{sup -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.

Authors:
 [1];  [2];  [1];  [2]; ;  [1]
  1. Department of Physics, University of Jyvaeskylae, P.O. Box 35, FIN-40014 Finland (Finland)
  2. (Finland)
Publication Date:
OSTI Identifier:
21010975
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevD.75.033006; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; COMPARATIVE EVALUATIONS; DENSITY MATRIX; HAMILTONIANS; INTEGRALS; LANDAU-ZENER FORMULA; NEUTRINOS; NONLINEAR PROBLEMS; PROBABILITY; TIME DEPENDENCE

Citation Formats

Keraenen, P., Radiation and Nuclear Safety Authority, P.O. Box 14, FIN-00881 Helsinki, Maalampi, J., Helsinki Institute of Physics, University of Helsinki, P.O. Box 64, FIN-00014 Helsinki, Myyrylaeinen, M., and Riittinen, J.. Landau-Zener problem in a three-level neutrino system with nonlinear time dependence. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.033006.
Keraenen, P., Radiation and Nuclear Safety Authority, P.O. Box 14, FIN-00881 Helsinki, Maalampi, J., Helsinki Institute of Physics, University of Helsinki, P.O. Box 64, FIN-00014 Helsinki, Myyrylaeinen, M., & Riittinen, J.. Landau-Zener problem in a three-level neutrino system with nonlinear time dependence. United States. doi:10.1103/PHYSREVD.75.033006.
Keraenen, P., Radiation and Nuclear Safety Authority, P.O. Box 14, FIN-00881 Helsinki, Maalampi, J., Helsinki Institute of Physics, University of Helsinki, P.O. Box 64, FIN-00014 Helsinki, Myyrylaeinen, M., and Riittinen, J.. Thu . "Landau-Zener problem in a three-level neutrino system with nonlinear time dependence". United States. doi:10.1103/PHYSREVD.75.033006.
@article{osti_21010975,
title = {Landau-Zener problem in a three-level neutrino system with nonlinear time dependence},
author = {Keraenen, P. and Radiation and Nuclear Safety Authority, P.O. Box 14, FIN-00881 Helsinki and Maalampi, J. and Helsinki Institute of Physics, University of Helsinki, P.O. Box 64, FIN-00014 Helsinki and Myyrylaeinen, M. and Riittinen, J.},
abstractNote = {We consider the level-crossing problem in a three-level system with nonlinearly time-varying Hamiltonian (time-dependence t{sup -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.},
doi = {10.1103/PHYSREVD.75.033006},
journal = {Physical Review. D, Particles Fields},
number = 3,
volume = 75,
place = {United States},
year = {Thu Feb 01 00:00:00 EST 2007},
month = {Thu Feb 01 00:00:00 EST 2007}
}