1. Anyon condensation in mixed-state topological order
- Author
-
Kikuchi, Ken, Kam, Kah-Sen, and Huang, Fu-Hsiang
- Subjects
High Energy Physics - Theory ,Condensed Matter - Strongly Correlated Electrons ,Mathematical Physics ,Mathematics - Category Theory ,Quantum Physics - 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., Comment: 52 pages, 14 figures
- Published
- 2024