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Anyon condensation in mixed-state topological order

Year: 2025
Type: article
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 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.
Authors: Ken KIKUCHI, Kah-Sen KAM, Fu-Hsiang Huang
Language: English
Open Access status: diamond
OpenAlex ID: W4415357517
FWCI: 1.105
Cites: 42
Cited by: 3
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