Robust Anderson transition in non-Hermitian photonic quasicrystals
- URL: http://arxiv.org/abs/2404.04537v1
- Date: Sat, 6 Apr 2024 07:35:04 GMT
- Title: Robust Anderson transition in non-Hermitian photonic quasicrystals
- Abstract summary: Anderson localization, i.e. the suppression of diffusion in lattices with random or incommensurate disorder, is a fragile interference phenomenon.
Here we consider localization-delocalization phase transitions occurring in non-Hermitian quasicrystals with local incommensurate gain and loss.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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