Robust Anderson transition in non-Hermitian photonic quasicrystals
Abstract
Anderson localization, i.e. the suppression of diffusion in lattices with random or incommensurate disorder, is a fragile interference phenomenon which is spoiled out in the presence of dephasing effects or fluctuating disorder. As a consequence, Anderson localization-delocalization phase transitions observed in Hermitian systems, such as in one-dimensional quasicrystals when the amplitude of the incommensurate potential is increased above a threshold, are washed out when dephasing effects are included. Here we consider localization-delocalization spectral phase transitions occurring in non-Hermitian quasicrystals with local incommensurate gain and loss, and show that, contrary to the Hermitian case, the non-Hermitian phase transition is robust against dephasing effects. The results are illustrated by considering synthetic quasicrystals in photonic mesh lattices.
Keywords
Cite
@article{arxiv.2404.04537,
title = {Robust Anderson transition in non-Hermitian photonic quasicrystals},
author = {Stefano Longhi},
journal= {arXiv preprint arXiv:2404.04537},
year = {2025}
}