Non-invertible symmetry breaking in a frustration-free spin chain
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909497630392320 |
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| author | Sinha, Akash Singh, Vivek Kumar Padmanabhan, Pramod Hao, Kun Korepin, Vladimir |
| author_facet | Sinha, Akash Singh, Vivek Kumar Padmanabhan, Pramod Hao, Kun Korepin, Vladimir |
| contents | A nearest-neighbor, frustration-free spin $\frac{1}{2}$ chain can be constructed {\it via} projectors of various ranks á la Bravyi-Gosset. We show that in the rank 1 case this system is gapped and has two ground states resembling ferromagnetic states. These states spontaneously break the non-invertible symmetry connecting them. The latter is proved using the machinery of algebraic quantum theory. The non-invertible symmetries of this system do not come from a duality. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_11997 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-invertible symmetry breaking in a frustration-free spin chain Sinha, Akash Singh, Vivek Kumar Padmanabhan, Pramod Hao, Kun Korepin, Vladimir High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons Mathematical Physics A nearest-neighbor, frustration-free spin $\frac{1}{2}$ chain can be constructed {\it via} projectors of various ranks á la Bravyi-Gosset. We show that in the rank 1 case this system is gapped and has two ground states resembling ferromagnetic states. These states spontaneously break the non-invertible symmetry connecting them. The latter is proved using the machinery of algebraic quantum theory. The non-invertible symmetries of this system do not come from a duality. |
| title | Non-invertible symmetry breaking in a frustration-free spin chain |
| topic | High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons Mathematical Physics |
| url | https://arxiv.org/abs/2502.11997 |