Zener tunnelling in periodic two-dimensional photonic lattices with three-fold symmetry

A. S. Desyatnikov, Yu S. Kivshar, V. S. Shchesnovich, S. B. Cavalcanti, J. M. Hickmann

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 Schrödinger equation with tilted periodic potential.

Original languageEnglish
Title of host publicationProceedings of 2007 9th International Conference on Transparent Optical Networks, ICTON 2007
Pages66-69
Number of pages4
DOIs
Publication statusPublished - Dec 1 2007
Externally publishedYes
Event2007 9th International Conference on Transparent Optical Networks, ICTON 2007 - Rome, Italy
Duration: Jul 1 2007Jul 5 2007

Publication series

NameProceedings of 2007 9th International Conference on Transparent Optical Networks, ICTON 2007
Volume2

Other

Other2007 9th International Conference on Transparent Optical Networks, ICTON 2007
CountryItaly
CityRome
Period7/1/077/5/07

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Electrical and Electronic Engineering
  • Communication

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