@inproceedings{cf907b529f92408eb73f2386a1a79bcf,
title = "Zener tunnelling in periodic two-dimensional photonic lattices with three-fold symmetry",
abstract = "We study the interband wave tunnelling (Zener transitions) in two-dimensional hexagonal lattices with superimposed index gradient and derive simple analytical models capturing the essence of the tunnelling phenomenon. We find that the two-dimensional tunnelling in hexagonal lattices occurs at the high-symmetry points (e.g., the M and Γ points), and it involves either three or six Bloch bands being described by the corresponding multi-level Landau-Zener-Majorana (LZM) system. We derive several types of the generalized LZM systems and verify analytical predictions by direct numerical simulations of the full linear Schr{\"o}dinger equation with tilted periodic potential.",
author = "Desyatnikov, {A. S.} and Kivshar, {Yu S.} and Shchesnovich, {V. S.} and Cavalcanti, {S. B.} and Hickmann, {J. M.}",
year = "2007",
month = dec,
day = "1",
doi = "10.1109/ICTON.2007.4296145",
language = "English",
isbn = "142441248X",
series = "Proceedings of 2007 9th International Conference on Transparent Optical Networks, ICTON 2007",
pages = "66--69",
booktitle = "Proceedings of 2007 9th International Conference on Transparent Optical Networks, ICTON 2007",
note = "2007 9th International Conference on Transparent Optical Networks, ICTON 2007 ; Conference date: 01-07-2007 Through 05-07-2007",
}