Diffraction and pseudospectra in non-Hermitian quasiperiodic lattices

• DOI: 10.48550/arxiv.2410.09185
• Publication Date: 2024-10-11
• Authors: Ananya Ghatak; Dimitrios Kaltsas; Manas Kulkarni; K. G. Makris

Wave dynamics in disordered open media is an intriguing topic, and has lately attracted a lot of attention non-Hermitian physics, especially photonics. In fact, spatial distributions gain loss elements are physically possible the context integrated photonic waveguide arrays. particular, these type lattices, counter-intuitive quantized jumps along propagation direction appear strong disorder limit (where all eigenstates localized) they have also been recently experimentally observed. We systematically study quasiperiodic Aubry-Andr\'e-Harper model with on-site distribution (NHAAH), emphasis on spectral sensitivity based pseudospectra analysis. Moreover, diffraction jumps, as well as, effect saturable nonlinearity, investigated detail. Our reveals intricate relation between nonlinearity non-Hermiticity.