Zener tunneling in two-dimensional photonic lattices

Details Zener tunneling in two-dimensional photonic lattices Zener tunneling in two-dimensional photonic lattices

2006-06-09

arxiv.org/abs/cond-mat/0606251v2

Physics

Condensed Matter

Other Condensed Matter

6 pages, 6 figures, submitted to Phys Rev E; changes: band structure added (fig1) and the error estimates for the Landau-Zener

Scientific paper

10.1103/PhysRevE.74.056602

We discuss the interband light tunneling in a two-dimensional periodic photonic structure, as was studied recently in experiments for optically-induced photonic lattices [H. Trompeter et al., Phys. Rev. Lett. \textbf{96}, 053903 (2006)]. We identify the Zener tunneling regime at the crossing of two Bloch bands, which occurs in a generic case of the Bragg reflection when the Bloch index crosses the edge of the irreducible Brillouin zone. Similarly, the higher-order Zener tunneling involves four Bloch bands when the Bloch index passes through a high-symmetry point on the edge of the Brillouin zone. We derive simple analytical models that describe the tunneling effect, and calculate the corresponding tunneling probabilities.

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