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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2602.12760 |
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| _version_ | 1866912902657605632 |
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| author | Joye, Alain Schaefer, Andreas Warzel, Simone |
| author_facet | Joye, Alain Schaefer, Andreas Warzel, Simone |
| contents | We consider quantum walks defined on arbitrary infinite graphs, parameterized by a family of scattering matrices attached to the vertices. Multiplying each scattering matrix by an i.i.d. random phase, we obtain a random scattering quantum walk. We prove dynamical localization for random scattering walks in a large-disorder regime. The result is based on a relation between fractional moment estimates and eigenfunction correlators of independent interest, which we establish for general random unitary operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_12760 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dynamical Localization for General Scattering Quantum Walks Joye, Alain Schaefer, Andreas Warzel, Simone Mathematical Physics We consider quantum walks defined on arbitrary infinite graphs, parameterized by a family of scattering matrices attached to the vertices. Multiplying each scattering matrix by an i.i.d. random phase, we obtain a random scattering quantum walk. We prove dynamical localization for random scattering walks in a large-disorder regime. The result is based on a relation between fractional moment estimates and eigenfunction correlators of independent interest, which we establish for general random unitary operators. |
| title | Dynamical Localization for General Scattering Quantum Walks |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2602.12760 |