Exact overlaps for "all" integrable matrix product states of rational spin chains
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916497854562304 |
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| author | Gombor, Tamas |
| author_facet | Gombor, Tamas |
| contents | The overlaps between integrable matrix product states (MPS) and Bethe states are important in both the non-equilibrium statistical physics and the AdS/CFT duality. We present the general MPS overlap formula. The result is a product of a ratio of Gaudin determinants and a prefactor. The Gaudin determinants depend on the spin chain but not on the MPS. The MPS dependent prefactor is given for all integrable MPS of the $\mathfrak{gl}_{N}$, $\mathfrak{o}_{N}$ and $\mathfrak{sp}_{N}$ symmetric spin chains with arbitrary representations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23282 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact overlaps for "all" integrable matrix product states of rational spin chains Gombor, Tamas High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems The overlaps between integrable matrix product states (MPS) and Bethe states are important in both the non-equilibrium statistical physics and the AdS/CFT duality. We present the general MPS overlap formula. The result is a product of a ratio of Gaudin determinants and a prefactor. The Gaudin determinants depend on the spin chain but not on the MPS. The MPS dependent prefactor is given for all integrable MPS of the $\mathfrak{gl}_{N}$, $\mathfrak{o}_{N}$ and $\mathfrak{sp}_{N}$ symmetric spin chains with arbitrary representations. |
| title | Exact overlaps for "all" integrable matrix product states of rational spin chains |
| topic | High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2410.23282 |