From gauging to duality in one-dimensional quantum lattice models
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911606846259200 |
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| author | Cuiper, Bram Vancraeynest-De Garre-Rubio, José Verstraete, Frank Vervoort, Kevin Williamson, Dominic J. Lootens, Laurens |
| author_facet | Cuiper, Bram Vancraeynest-De Garre-Rubio, José Verstraete, Frank Vervoort, Kevin Williamson, Dominic J. Lootens, Laurens |
| contents | Gauging and duality transformations, two of the most useful tools in many-body physics, are shown to be equivalent up to constant depth quantum circuits in the case of one-dimensional quantum lattice models. This is demonstrated by making use of matrix product operators, which provide the lattice representation theory for global (categorical) symmetries as well as a classification of duality transformations. Our construction makes the symmetries of the gauged theory manifest and clarifies how to deal with static background fields when gauging generalised symmetries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22051 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | From gauging to duality in one-dimensional quantum lattice models Cuiper, Bram Vancraeynest-De Garre-Rubio, José Verstraete, Frank Vervoort, Kevin Williamson, Dominic J. Lootens, Laurens Strongly Correlated Electrons High Energy Physics - Theory Mathematical Physics Gauging and duality transformations, two of the most useful tools in many-body physics, are shown to be equivalent up to constant depth quantum circuits in the case of one-dimensional quantum lattice models. This is demonstrated by making use of matrix product operators, which provide the lattice representation theory for global (categorical) symmetries as well as a classification of duality transformations. Our construction makes the symmetries of the gauged theory manifest and clarifies how to deal with static background fields when gauging generalised symmetries. |
| title | From gauging to duality in one-dimensional quantum lattice models |
| topic | Strongly Correlated Electrons High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2509.22051 |