Parametrized Version of the Generalized Aubry-André Model
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910072433541120 |
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| author | Alexanian, Moorad |
| author_facet | Alexanian, Moorad |
| contents | A recently introduced recurrence-relation ansatz applied to the Bose-Hubbard model is here used in the generalized Aubry-Andre model. The resulting modified Aubry-Andre model allows for a simple parametrization of the solutions in terms of three parameters, viz., the system energy when the quasiperiodicity amplitude Delta = 0, the site mu where the particle is initially localized, and the tuning parameter -1 < alpha < 1 that determines the regions of localized or extended states. The standard Aubry-Andre form corresponds to alpha = 0. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_24346 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Parametrized Version of the Generalized Aubry-André Model Alexanian, Moorad Quantum Physics A recently introduced recurrence-relation ansatz applied to the Bose-Hubbard model is here used in the generalized Aubry-Andre model. The resulting modified Aubry-Andre model allows for a simple parametrization of the solutions in terms of three parameters, viz., the system energy when the quasiperiodicity amplitude Delta = 0, the site mu where the particle is initially localized, and the tuning parameter -1 < alpha < 1 that determines the regions of localized or extended states. The standard Aubry-Andre form corresponds to alpha = 0. |
| title | Parametrized Version of the Generalized Aubry-André Model |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2603.24346 |