title: Resonant Zener tunneling in two-dimensional periodic photonic lattices.
abstract: We study Zener tunneling in two-dimensional photonic lattices and derive, for the case of hexagonal symmetry, the generalized Landau-Zener-Majorana model describing resonant interaction between high-symmetry points of the photonic spectral bands. We demonstrate that this effect can be employed for the generation of Floquet-Bloch modes and verify the model by direct numerical simulations of the tunneling effect.
authors.affiliation: Nonlinear Physics Centre and Centre for Ultra-High Bandwidth Devices for Optical Systems, Research School of Physical Sciences and Engineering, Australian National University, Canberra, ACT 0200, Australia. asd124@rsphysse.anu.edu.py
authors.forename: Anton S
authors.initials: AS
authors.lastname: Desyatnikov
authors.forename: Yuri S
authors.initials: YS
authors.lastname: Kivshar
authors.forename: Valery S
authors.initials: VS
authors.lastname: Shchesnovich
authors.forename: Solange B
authors.initials: SB
authors.lastname: Cavalcanti
authors.forename: Jandir M
authors.initials: JM
authors.lastname: Hickmann