Wavepacket Self-imaging and Giant Recombinations via Stable Bloch-Zener Oscillations in Photonic Lattices with Local ${\cal PT}$-Symmetry

Abstract

We propose a family of {\it local} $\cal{PT}$-symmetric photonic lattices with transverse index gradient $ω$, where the emergence of {\it stable} Bloch-Zener oscillations are controlled by the degree of non-Hermiticity $γ$ of the lattice. In the exact $\cal{PT}$-symmetric phase we identify a condition between $ω$ and $γ$ for which a wavepacket self -imaging together with a cascade of splittings and giant recombinations occurs at various propagation distances. The giant wavepacket recombination is further enhanced by introducing local impurities.

5 pages, 3 figures (color online)