A universal formula for the entanglement asymmetry of matrix product states
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917147786084352 |
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| author | Capizzi, Luca Vitale, Vittorio |
| author_facet | Capizzi, Luca Vitale, Vittorio |
| contents | Symmetry breaking is a fundamental concept in understanding quantum phases of matter, studied so far mostly through the lens of local order parameters. Recently, a new entanglement-based probe of symmetry breaking has been introduced under the name of \textit{entanglement asymmetry}, which has been employed to investigate the mechanism of dynamical symmetry restoration. Here, we provide a universal formula for the entanglement asymmetry of matrix product states with finite bond dimension, valid in the large volume limit. We show that the entanglement asymmetry of any compact -- discrete or continuous -- group depends only on the symmetry breaking pattern, and is not related to any other microscopic features. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_01962 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A universal formula for the entanglement asymmetry of matrix product states Capizzi, Luca Vitale, Vittorio Quantum Physics Statistical Mechanics Symmetry breaking is a fundamental concept in understanding quantum phases of matter, studied so far mostly through the lens of local order parameters. Recently, a new entanglement-based probe of symmetry breaking has been introduced under the name of \textit{entanglement asymmetry}, which has been employed to investigate the mechanism of dynamical symmetry restoration. Here, we provide a universal formula for the entanglement asymmetry of matrix product states with finite bond dimension, valid in the large volume limit. We show that the entanglement asymmetry of any compact -- discrete or continuous -- group depends only on the symmetry breaking pattern, and is not related to any other microscopic features. |
| title | A universal formula for the entanglement asymmetry of matrix product states |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2310.01962 |