Anyon condensation in mixed-state topological order
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914105333383168 |
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| author | Kikuchi, Ken Kam, Kah-Sen Huang, Fu-Hsiang |
| author_facet | Kikuchi, Ken Kam, Kah-Sen Huang, Fu-Hsiang |
| contents | We discuss anyon condensation in mixed-state topological order. The phases were recently conjectured to be classified by pre-modular fusion categories. Just like anyon condensation in pure-state topological order, a bootstrap analysis shows condensable anyons are given by connected étale algebras. We explain how to perform generic anyon condensation including non-invertible anyons and successive condensations. Interestingly, some condensations lead to pure-state topological orders. We clarify when this happens. We also compute topological invariants of equivalence classes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_14320 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anyon condensation in mixed-state topological order Kikuchi, Ken Kam, Kah-Sen Huang, Fu-Hsiang High Energy Physics - Theory Strongly Correlated Electrons Mathematical Physics Category Theory Quantum Physics We discuss anyon condensation in mixed-state topological order. The phases were recently conjectured to be classified by pre-modular fusion categories. Just like anyon condensation in pure-state topological order, a bootstrap analysis shows condensable anyons are given by connected étale algebras. We explain how to perform generic anyon condensation including non-invertible anyons and successive condensations. Interestingly, some condensations lead to pure-state topological orders. We clarify when this happens. We also compute topological invariants of equivalence classes. |
| title | Anyon condensation in mixed-state topological order |
| topic | High Energy Physics - Theory Strongly Correlated Electrons Mathematical Physics Category Theory Quantum Physics |
| url | https://arxiv.org/abs/2406.14320 |