Open AccessNonlinear Landau-Zener tunneling in two-dimensional photonic lattices
Author(s) -
Wang Sha,
Yang Zhi-An
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.729
Subject(s) - quantum tunnelling , zener diode , physics , nonlinear system , condensed matter physics , symmetry (geometry) , photonics , quantum mechanics , landau quantization , mathematics , voltage , geometry , resistor , magnetic field
Nonlinear Landau-Zener tunneling in two-dimensional photonic lattices of Kerr nonlinearity media is investigated. We first derive the nonlinear three-level Landau-Zener model in photonic lattices for the case of hexagonal symmetry, and then simplify this model to a nonlinear two-level Landau-Zener model under a certain initial condition. For the three-level tunneling model, we calculate the tunneling probability numerically and study its changing rules under the specific initial condition.