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

Abstract

We propose a family of {\it local} $\mathcal{P}\mathcal{T}$-symmetric photonic lattices with transverse index gradient $\omega$, where the emergence of {\it stable} Bloch-Zener oscillations are controlled by the degree of non-Hermiticity $\gamma$ of the lattice. In the exact $\mathcal{P}\mathcal{T}$-symmetric phase we identify a condition between $\omega$ and $\gamma$ 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)

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Cited by in corpus (13)

• Observation of Bloch oscillations in complex PT-symmetric photonic lattices
• Experimental realization of Floquet PT-symmetric systems
• Geometric Origin of Non-Bloch PT Symmetry Breaking
• Landau-Zener-Stückelberg Interferometry in $\mathcal{P}\mathcal{T}$-symmetric Non-Hermitian models
• Non-adiabatic transitions through exceptional points in the band structure of a PT-symmetric lattice
• Bragg-induced power oscillations in PT symmetric periodic photonic structures
• Complex Berry phase and imperfect non-Hermitian phase transitions
• Nonlocal discrete continuity and invariant currents in locally symmetric effective Schrödinger arrays
• Floquet control of global $PT$ symmetry in 2D arrays of quadrimer waveguides
• Stable Bloch oscillations and Landau-Zener tunneling in a non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric flat band lattice
• Super Bloch Oscillation in a PT symmetric system
• Non-Hermitian Bloch-Zener phase transition
• Adiabatic-impulse approximation in non-Hermitian Landau-Zener Model