Author

Frank Pollmann

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Preprint Aug 2026

Non-invertible Lattice 1-Form Symmetries for Non-Abelian Topological Order

Higher-form symmetries generalize conventional global symmetries and act on lower-dimensional submanifolds of a quantum system. While Abelian topological phases can be organized by 1-form symmetries that form a group, non-Abelian topological phases based on finite groups require 1-form symmetry operators governed by no...

R. Flores-Calderón, F. Pollmann, M. Knap · 1 citation

Preprint Sep 2026

Non-Abelian Anyon Condensation: a Path-Integral Monte Carlo Approach

Transitions out of non-Abelian topological order are difficult to describe in microscopic quantum models with numerical methods that remain tractable at large scales. We develop a sign-free path-integral framework for Kitaev quantum doubles $\mathcal D(G)$ by organizing single-link perturbations in terms of non-inverti...

R. Flores-Calderón, F. Pollmann, M. Knap · 0 citations