Categorical Symmetries in Spin Models with Atom Arrays
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866914169529303040 |
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| author | Warman, Alison Yang, Fan Tiwari, Apoorv Pichler, Hannes Schafer-Nameki, Sakura |
| author_facet | Warman, Alison Yang, Fan Tiwari, Apoorv Pichler, Hannes Schafer-Nameki, Sakura |
| contents | Categorical symmetries have recently been shown to generalize the classification of phases of matter, significantly broadening the traditional Landau paradigm. To test these predictions, we propose a simple spin chain model that encompasses all gapped phases and second-order phase transitions governed by the categorical symmetry $\mathsf{Rep}(D_8)$. This model not only captures the essential features of non-invertible phases but is also straightforward enough to enable practical realization. Specifically, we outline an implementation using neutral atoms trapped in optical tweezer arrays. Employing a dual-species setup and Rydberg blockade, we propose a digital simulation approach that can efficiently implement the many-body evolution in several nontrivial quantum phases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_15024 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Categorical Symmetries in Spin Models with Atom Arrays Warman, Alison Yang, Fan Tiwari, Apoorv Pichler, Hannes Schafer-Nameki, Sakura Strongly Correlated Electrons Quantum Gases High Energy Physics - Theory Atomic Physics Quantum Physics Categorical symmetries have recently been shown to generalize the classification of phases of matter, significantly broadening the traditional Landau paradigm. To test these predictions, we propose a simple spin chain model that encompasses all gapped phases and second-order phase transitions governed by the categorical symmetry $\mathsf{Rep}(D_8)$. This model not only captures the essential features of non-invertible phases but is also straightforward enough to enable practical realization. Specifically, we outline an implementation using neutral atoms trapped in optical tweezer arrays. Employing a dual-species setup and Rydberg blockade, we propose a digital simulation approach that can efficiently implement the many-body evolution in several nontrivial quantum phases. |
| title | Categorical Symmetries in Spin Models with Atom Arrays |
| topic | Strongly Correlated Electrons Quantum Gases High Energy Physics - Theory Atomic Physics Quantum Physics |
| url | https://arxiv.org/abs/2412.15024 |