SciPost Submission Page
Anyon condensation in mixed-state topological order
by Ken Kikuchi, Kah-Sen Kam, Fu-Hsiang Huang
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Fu-Hsiang Huang |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202502_00050v2 (pdf) |
| Date accepted: | Aug. 20, 2025 |
| Date submitted: | Aug. 2, 2025, 3:08 p.m. |
| Submitted by: | Fu-Hsiang Huang |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
|
| 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.
List of changes
We changed the first ``Theorem^ph'' to ``Conjecture,'' and the following ``Remark'' accordingly.
We also modified the sentence before the first ``Theorem'' of the other three Theorems.
We also modified the sentence before the first ``Theorem'' of the other three Theorems.
Published as SciPost Phys. Core 8, 072 (2025)
Reports on this Submission
Report #1 by Anonymous (Referee 1) on 2025-8-8 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_202502_00050v2, delivered 2025-08-08, doi: 10.21468/SciPost.Report.11709
Strengths
see my previous report
Weaknesses
see my previous report
Report
With the status of the various propositions in the paper now clarified as conjectures or statements which follow from previously published mathematical papers I am happy to recommend publication of this paper. The examples and applications provide useful and interesting applications of category-theoretical results, which are likely to inspire future investigations.
Requested changes
none
Recommendation
Publish (meets expectations and criteria for this Journal)