$su(2)$ symmetry of XX spin chains
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909975158194176 |
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| author | Crampé, Nicolas Nepomechie, Rafael I. Vinet, Luc Harofteh, Nabi Zare |
| author_facet | Crampé, Nicolas Nepomechie, Rafael I. Vinet, Luc Harofteh, Nabi Zare |
| contents | We show that, after suitably adjusting a uniform transverse magnetic field, the generic inhomogeneous open XX spin chain has a two-fold degeneracy, and an exact $su(2)$ symmetry whose "inhomogeneous" nonlocal generators depend on coefficients that can be explicitly computed for models associated with discrete orthogonal polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_20184 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $su(2)$ symmetry of XX spin chains Crampé, Nicolas Nepomechie, Rafael I. Vinet, Luc Harofteh, Nabi Zare Statistical Mechanics Mathematical Physics We show that, after suitably adjusting a uniform transverse magnetic field, the generic inhomogeneous open XX spin chain has a two-fold degeneracy, and an exact $su(2)$ symmetry whose "inhomogeneous" nonlocal generators depend on coefficients that can be explicitly computed for models associated with discrete orthogonal polynomials. |
| title | $su(2)$ symmetry of XX spin chains |
| topic | Statistical Mechanics Mathematical Physics |
| url | https://arxiv.org/abs/2508.20184 |