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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.23078 |
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| _version_ | 1866911411413712896 |
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| author | Feistl, Timo Schraven, Severin Warzel, Simone |
| author_facet | Feistl, Timo Schraven, Severin Warzel, Simone |
| contents | We prove Mermin-Wagner-type theorems for quantum lattice systems in the presence of multipole symmetries. These theorems show that the presence of higher-order symmetries protects against the breaking of lower-order ones. In particular, we prove that the critical dimension in which the charge symmetry can be broken increases if the system admits higher multipole symmetries, e.g. $ d = 4 $ on the regular lattice $ \mathbb{Z}^d $ in the presence of dipole symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_23078 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Mermin-Wagner theorems for quantum systems with multipole symmetries Feistl, Timo Schraven, Severin Warzel, Simone Mathematical Physics We prove Mermin-Wagner-type theorems for quantum lattice systems in the presence of multipole symmetries. These theorems show that the presence of higher-order symmetries protects against the breaking of lower-order ones. In particular, we prove that the critical dimension in which the charge symmetry can be broken increases if the system admits higher multipole symmetries, e.g. $ d = 4 $ on the regular lattice $ \mathbb{Z}^d $ in the presence of dipole symmetry. |
| title | Mermin-Wagner theorems for quantum systems with multipole symmetries |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2601.23078 |