Anyon condensation in mixed-state topological order

• URL: http://arxiv.org/abs/2406.14320v1
• Date: Thu, 20 Jun 2024 13:52:33 GMT
• Title: Anyon condensation in mixed-state topological order
• Authors: Ken Kikuchi, Kah-Sen Kam, Fu-Hsiang Huang,
• Abstract summary: We discuss anyon condensation in mixed-state topological order. condensable anyons are given by connected 'etale algebras. Some condensations lead to pure-state topological orders.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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