Coexistence of Anderson Localization and Quantum Scarring in Two Dimensions
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916051614171136 |
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| author | Chalangari, Fartash Varma, Anant Vijay Keski-Rahkonen, Joonas Räsänen, Esa |
| author_facet | Chalangari, Fartash Varma, Anant Vijay Keski-Rahkonen, Joonas Räsänen, Esa |
| contents | We investigate finite two-dimensional disordered systems with periodic confinement. At low energies, eigenstates exhibit strong Anderson localization, while at higher energies a subset of states exhibits variational scarring with anisotropic intensity patterns that deviate from random-wave expectations. Scaling theory predicts that in two dimensions all eigenstates localize in the large-system-size limit, yet the energy-dependent localization length and finite-size effects allow these regimes to coexist. We demonstrate that this coexistence produces distinct, robust signatures in both spatial intensity patterns and spectral statistics that are directly observable in mesoscopic electronic, photonic, and cold-atom systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20788 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Coexistence of Anderson Localization and Quantum Scarring in Two Dimensions Chalangari, Fartash Varma, Anant Vijay Keski-Rahkonen, Joonas Räsänen, Esa Quantum Physics We investigate finite two-dimensional disordered systems with periodic confinement. At low energies, eigenstates exhibit strong Anderson localization, while at higher energies a subset of states exhibits variational scarring with anisotropic intensity patterns that deviate from random-wave expectations. Scaling theory predicts that in two dimensions all eigenstates localize in the large-system-size limit, yet the energy-dependent localization length and finite-size effects allow these regimes to coexist. We demonstrate that this coexistence produces distinct, robust signatures in both spatial intensity patterns and spectral statistics that are directly observable in mesoscopic electronic, photonic, and cold-atom systems. |
| title | Coexistence of Anderson Localization and Quantum Scarring in Two Dimensions |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2512.20788 |