Anyon condensation in mixed-state topological order
High Energy Physics - Theory
2025-10-22 v4 Strongly Correlated Electrons
Mathematical Physics
Category Theory
math.MP
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.
Keywords
Cite
@article{arxiv.2406.14320,
title = {Anyon condensation in mixed-state topological order},
author = {Ken Kikuchi and Kah-Sen Kam and Fu-Hsiang Huang},
journal= {arXiv preprint arXiv:2406.14320},
year = {2025}
}
Comments
48 pages, 14 figures; v2: added a reference, improved exposition