Stark localization of interacting particles
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910034292637696 |
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| author | De Roeck, Wojciech Hannani, Amirali Lerose, Alessio Vandenbosch, Nathan |
| author_facet | De Roeck, Wojciech Hannani, Amirali Lerose, Alessio Vandenbosch, Nathan |
| contents | We consider N interacting quantum particles on a one-dimensional lattice, and subjected to an external linear potential. For N = 1, the corresponding Hamiltonian is explicitly diagonalizable, with superexponentially localized eigenstates. This is called Stark localization. We prove that superexponential spectral localization persists for arbitrary N and every interaction strength. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_23352 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stark localization of interacting particles De Roeck, Wojciech Hannani, Amirali Lerose, Alessio Vandenbosch, Nathan Mathematical Physics Disordered Systems and Neural Networks We consider N interacting quantum particles on a one-dimensional lattice, and subjected to an external linear potential. For N = 1, the corresponding Hamiltonian is explicitly diagonalizable, with superexponentially localized eigenstates. This is called Stark localization. We prove that superexponential spectral localization persists for arbitrary N and every interaction strength. |
| title | Stark localization of interacting particles |
| topic | Mathematical Physics Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2602.23352 |