Robust Anderson transition in non-Hermitian photonic quasicrystals
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917981271883776 |
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| author | Longhi, Stefano |
| author_facet | Longhi, Stefano |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04537 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Robust Anderson transition in non-Hermitian photonic quasicrystals Longhi, Stefano Optics Disordered Systems and Neural Networks Quantum Physics 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. |
| title | Robust Anderson transition in non-Hermitian photonic quasicrystals |
| topic | Optics Disordered Systems and Neural Networks Quantum Physics |
| url | https://arxiv.org/abs/2404.04537 |