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Anyon condensation in mixed-state topological order

by Ken KIKUCHI, Kah-Sen KAM and Fu-Hsiang Huang

Submission summary

Authors (as registered SciPost users): Fu-Hsiang Huang
Submission information
Preprint Link: scipost_202502_00050v1  (pdf)
Date submitted: 2025-02-23 11:06
Submitted by: Huang, Fu-Hsiang
Submitted to: SciPost Physics Core
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • High-Energy Physics - Theory
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.

Current status:
In refereeing

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