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Anyon condensation in mixed-state topological order
by Ken KIKUCHI, Kah-Sen KAM and Fu-Hsiang Huang
Submission summary
Authors (as registered SciPost users): | Fu-Hsiang Huang |
Submission information | |
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Preprint Link: | scipost_202502_00050v1 (pdf) |
Date submitted: | 2025-02-23 11:06 |
Submitted by: | Huang, Fu-Hsiang |
Submitted to: | SciPost Physics Core |
Ontological classification | |
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Academic field: | Physics |
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Approach: | Theoretical |
Abstract
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 \'etale 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.
Current status:
In refereeing