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

arXiv:2609.19282 · cond-mat.str-el, hep-lat, quant-ph · Submitted 2026-09-16 · Read on arXiv

cond-mat.str-el, hep-lat, quant-ph

Submitted: 2026-09-16

Updated: 2026-09-16

Terminology

• Anyons — 29× in this paper · explained in 2 episodes
• Topological Order — 23× in this paper · explained in 2 episodes
• Anyon Condensation — 16× in this paper · explained in 1 episode
• Holonomy — 15× in this paper · explained in 2 episodes
• Trace — 11× in this paper · explained in 2 episodes
• Phase Transitions — 10× in this paper · explained in 2 episodes
• First-Order Transition — 8× in this paper · explained in 2 episodes
• Hilbert Space — 8× in this paper · explained in 2 episodes
• Symmetry Breaking — 7× in this paper · explained in 3 episodes
• Area Law — 5× in this paper · explained in 1 episode
• Benchmark — 3× in this paper · explained in 2 episodes
• Entanglement — 3× in this paper · explained in 3 episodes
• Generalization — 3× in this paper · explained in 13 episodes
• Metastability — 3× in this paper · explained in 2 episodes
• Supplemental Material — 3× in this paper
• Anyon Proliferation — 2× in this paper · explained in 2 episodes
• Munich Center for Quantum Science and Technology — 2× in this paper
• Accuracy — 1× in this paper · explained in 1 episode
• Consistency — 1× in this paper · explained in 3 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Domain Walls — 1× in this paper · explained in 2 episodes
• Entanglement Entropy — 1× in this paper · explained in 2 episodes
• Redundancy — 1× in this paper · explained in 2 episodes

Sources

• Anyon Condensation and Continuous Topological Phase Transitions in Non-Abelian Fractional Quantum Hall States
• Condensation of achiral simple currents in topological lattice models: a Hamiltonian study of topological symmetry breaking
• Phase transitions in topological lattice models via topological symmetry breaking
• Anyon condensation and its applications
• Non-Abelian braiding of graph vertices in a superconducting processor
• Information-theoretic principle of emergent 1-form symmetries
• What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries
• From String Nets to Nonabelions
• Tensor-network approach to phase transitions in string-net models
• A Family of Non-Abelian Kitaev Models on a Lattice: Topological Confinement and Condensation
• Nonabelian Anyon Condensation in 2+1d topological orders: A String-Net Model Realization
• Topological Phase Transitions in the Golden String-Net Model
• Ising anyons with a string tension
• Mean-field ansatz for topological phases with string tension
• Gauging quantum states: from global to local symmetries in many-body systems
• Hierarchy of topological order from finite-depth unitaries, measurement and feedforward
• Topological Quantum Computation with Gapped Boundaries
• Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions
• Self-dual Higgs transitions: Toric code and beyond

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