Contributor info: Mr Fu-Hsiang Huang

Ken Kikuchi, Kah-Sen Kam, Fu-Hsiang Huang

SciPost Phys. Core 8, 072 (2025) · published 20 October 2025 | Toggle abstract · pdf

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.