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.

© 2007 Optical Society of America

Interband resonant transitions in two-dimensional hexagonal lattices: Rabi oscillations, Zener tunnelling, and tunnelling of phase dislocations

Valery S. Shchesnovich, Anton S. Desyatnikov, and Yuri S. Kivshar
Opt. Express 16(18) 14076-14094 (2008)

Optically induced Zener tunneling in one-dimensional lattices

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Bragg-resonance-induced Rabi oscillations in photonic lattices

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Chirped dual periodic structures for photonic Bloch oscillations and Zener tunneling

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Opt. Express 23(13) 16500-16510 (2015)

Optical Bloch oscillations and Zener tunneling of Airy beams in ionic-type photonic lattices

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Opt. Express 24(16) 18332-18339 (2016)