Gauging Quantum Phases: A Matrix Product State Approach
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914023694401536 |
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| author | Blanik, David Garre-Rubio, José Schuch, Norbert |
| author_facet | Blanik, David Garre-Rubio, José Schuch, Norbert |
| contents | Utilizing the framework of matrix product states, we investigate gauging as a method for exploring quantum phases of matter. Specifically, we describe how symmetry-protected topological (SPT) phases and spontaneous symmetry breaking (SSB) phases in one-dimensional spin systems behave under twisted gauging, a generalization of the well-known gauging procedure for globally symmetric states. Compared to previous, order parameter-based, approaches our analysis is not limited to the case of maximally non-commutative (MNC) phases and we use our findings to propose a generalization of the Kennedy-Tasaki transformation to the non-MNC setting. A key result of our work is that gauging produces configurations characterized by a combination of MNC order and symmetry breaking, when applied to non-MNC SPT phases. More generally, we conjecture a precise correspondence between SSB and non-MNC SPT phases, possibly enabling the detection of such phases using local and string order parameters. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_14380 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gauging Quantum Phases: A Matrix Product State Approach Blanik, David Garre-Rubio, José Schuch, Norbert Quantum Physics Strongly Correlated Electrons Utilizing the framework of matrix product states, we investigate gauging as a method for exploring quantum phases of matter. Specifically, we describe how symmetry-protected topological (SPT) phases and spontaneous symmetry breaking (SSB) phases in one-dimensional spin systems behave under twisted gauging, a generalization of the well-known gauging procedure for globally symmetric states. Compared to previous, order parameter-based, approaches our analysis is not limited to the case of maximally non-commutative (MNC) phases and we use our findings to propose a generalization of the Kennedy-Tasaki transformation to the non-MNC setting. A key result of our work is that gauging produces configurations characterized by a combination of MNC order and symmetry breaking, when applied to non-MNC SPT phases. More generally, we conjecture a precise correspondence between SSB and non-MNC SPT phases, possibly enabling the detection of such phases using local and string order parameters. |
| title | Gauging Quantum Phases: A Matrix Product State Approach |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2504.14380 |