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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.11967 |
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| _version_ | 1866915024804511744 |
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| author | Li, Yabo Song, Zijian Kubica, Aleksander Kim, Isaac H. |
| author_facet | Li, Yabo Song, Zijian Kubica, Aleksander Kim, Isaac H. |
| contents | We introduce a systematic method for constructing gapped domain walls of topologically ordered systems by gauging a lower-dimensional symmetry-protected topological (SPT) order. Based on our construction, we propose a correspondence between 1d SPT phases with a non-invertible $G\times \text{Rep}(G)\times G$ symmetry and invertible domain walls in the quantum double associated with the group $G$. We prove this correspondence when $G$ is Abelian and provide evidence for the general case by studying the quantum double model for $G=S_3$. We also use our method to construct \emph{anchoring domain walls}, which are novel exotic domain walls in the 3d toric code that transform point-like excitations to semi-loop-like excitations anchored on these domain walls. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_11967 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Domain walls from SPT-sewing Li, Yabo Song, Zijian Kubica, Aleksander Kim, Isaac H. Quantum Physics Strongly Correlated Electrons We introduce a systematic method for constructing gapped domain walls of topologically ordered systems by gauging a lower-dimensional symmetry-protected topological (SPT) order. Based on our construction, we propose a correspondence between 1d SPT phases with a non-invertible $G\times \text{Rep}(G)\times G$ symmetry and invertible domain walls in the quantum double associated with the group $G$. We prove this correspondence when $G$ is Abelian and provide evidence for the general case by studying the quantum double model for $G=S_3$. We also use our method to construct \emph{anchoring domain walls}, which are novel exotic domain walls in the 3d toric code that transform point-like excitations to semi-loop-like excitations anchored on these domain walls. |
| title | Domain walls from SPT-sewing |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2411.11967 |