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arXiv · 2406.14320

Anyon condensation in mixed-state topological order

Ken Kikuchi·Kah-Sen Kam·Fu-Hsiang Huang
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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.

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Ken Kikuchi, Kah-Sen Kam, Fu-Hsiang Huang. 2024-06-20. Anyon condensation in mixed-state topological order. https://doi.org/10.21468/scipostphyscore.8.4.072

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