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On exact overlaps in integrable spin chains
We compute the exact overlaps between integrable boundary states and on-shell Bethe states for integrable spin chains. Our method is based on the coordinate Bethe Ansatz and does not rely on the “rotation trick” of the corresponding lattice model. It leads to a rigorous proof of the factorized overl...
| Autores principales: | , |
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| Lenguaje: | eng |
| Publicado: |
2020
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| Acceso en línea: | https://dx.doi.org/10.1007/JHEP06(2020)022 http://cds.cern.ch/record/2712775 |
| _version_ | 1780965313065517056 |
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| author | Jiang, Yunfeng Pozsgay, Balázs |
| author_facet | Jiang, Yunfeng Pozsgay, Balázs |
| author_sort | Jiang, Yunfeng |
| collection | CERN |
| description | We compute the exact overlaps between integrable boundary states and on-shell Bethe states for integrable spin chains. Our method is based on the coordinate Bethe Ansatz and does not rely on the “rotation trick” of the corresponding lattice model. It leads to a rigorous proof of the factorized overlap formulae in a number of cases, some of which were hitherto inaccessible to earlier methods. As concrete examples, we consider the compact XXX and XXZ Heisenberg spin chains, and the non-compact SL(2, ℝ) spin chain. |
| id | cern-2712775 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2020 |
| record_format | invenio |
| spelling | cern-27127752023-10-04T06:39:15Zdoi:10.1007/JHEP06(2020)022http://cds.cern.ch/record/2712775engJiang, YunfengPozsgay, BalázsOn exact overlaps in integrable spin chainsnlin.SINonlinear Systemshep-thParticle Physics - Theorycond-mat.stat-mechWe compute the exact overlaps between integrable boundary states and on-shell Bethe states for integrable spin chains. Our method is based on the coordinate Bethe Ansatz and does not rely on the “rotation trick” of the corresponding lattice model. It leads to a rigorous proof of the factorized overlap formulae in a number of cases, some of which were hitherto inaccessible to earlier methods. As concrete examples, we consider the compact XXX and XXZ Heisenberg spin chains, and the non-compact SL(2, ℝ) spin chain.We develop a new method to compute the exact overlaps between integrable boundary states and on-shell Bethe states for integrable spin chains. Our method is based on the coordinate Bethe Ansatz and does not rely on the "rotation trick" of the corresponding lattice model. It leads to a rigorous proof of the factorized overlap formulas in a number of cases, some of which were inaccessible to earlier methods. As concrete examples, we consider the compact XXX and XXZ Heisenberg spin chains, and the non-compact $SL(2,\mathbb{R})$ spin chain.arXiv:2002.12065oai:cds.cern.ch:27127752020-03-02 |
| spellingShingle | nlin.SI Nonlinear Systems hep-th Particle Physics - Theory cond-mat.stat-mech Jiang, Yunfeng Pozsgay, Balázs On exact overlaps in integrable spin chains |
| title | On exact overlaps in integrable spin chains |
| title_full | On exact overlaps in integrable spin chains |
| title_fullStr | On exact overlaps in integrable spin chains |
| title_full_unstemmed | On exact overlaps in integrable spin chains |
| title_short | On exact overlaps in integrable spin chains |
| title_sort | on exact overlaps in integrable spin chains |
| topic | nlin.SI Nonlinear Systems hep-th Particle Physics - Theory cond-mat.stat-mech |
| url | https://dx.doi.org/10.1007/JHEP06(2020)022 http://cds.cern.ch/record/2712775 |
| work_keys_str_mv | AT jiangyunfeng onexactoverlapsinintegrablespinchains AT pozsgaybalazs onexactoverlapsinintegrablespinchains |