Topological Holography for Mixed-State Phases and Phase Transitions
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| Format: | Preprint |
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2025
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| _version_ | 1866912472236032000 |
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| author | Luo, Ran Wang, Yi-Nan Bi, Zhen |
| author_facet | Luo, Ran Wang, Yi-Nan Bi, Zhen |
| contents | We extend the symmetry topological field theory (SymTFT) framework to open quantum systems. Using canonical purification, we embed mixed states into a doubled (2+1)-dimensional topological order and employ the slab construction to study (1+1)-dimensional mixed-state phases through condensable algebras in the doubled SymTFT. Hermiticity and positivity of the density matrix impose additional constraints on allowable anyon condensations, enabling a systematic classification of mixed-state phases - including strong-to-weak symmetry breaking (SWSSB) and average symmetry-protected topological (ASPT) phases. We present examples of mixed-state phase transitions involving SWSSB and show how gauging within the open SymTFT framework reveals connections among different mixed-state phases. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_06218 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological Holography for Mixed-State Phases and Phase Transitions Luo, Ran Wang, Yi-Nan Bi, Zhen Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics We extend the symmetry topological field theory (SymTFT) framework to open quantum systems. Using canonical purification, we embed mixed states into a doubled (2+1)-dimensional topological order and employ the slab construction to study (1+1)-dimensional mixed-state phases through condensable algebras in the doubled SymTFT. Hermiticity and positivity of the density matrix impose additional constraints on allowable anyon condensations, enabling a systematic classification of mixed-state phases - including strong-to-weak symmetry breaking (SWSSB) and average symmetry-protected topological (ASPT) phases. We present examples of mixed-state phase transitions involving SWSSB and show how gauging within the open SymTFT framework reveals connections among different mixed-state phases. |
| title | Topological Holography for Mixed-State Phases and Phase Transitions |
| topic | Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2507.06218 |