Krylov complexity remains nonsingular at SWSSB crossovers but shows a singular area-to-volume-law transition at genuine mixed-state SWSSB phase transitions in dephasing channels.
2024.arXiv e-prints:arXiv:2409.18944
3 Pith papers cite this work. Polarity classification is still indexing.
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Decohered non-Abelian Kitaev quantum double states exhibit strong-to-weak spontaneous symmetry breaking of non-invertible higher-form symmetries and form an information convex set whose dimension equals the pure-state ground-state degeneracy.
SW-SSB extends symmetry breaking to mixed states and serves as a unifying perspective connecting topological orders, emergent hydrodynamics, and information-theoretic characterizations of phases in open systems.
citing papers explorer
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Krylov Complexity and Mixed-State Phase Transition
Krylov complexity remains nonsingular at SWSSB crossovers but shows a singular area-to-volume-law transition at genuine mixed-state SWSSB phase transitions in dephasing channels.
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Strong-to-weak spontaneous symmetry breaking of higher-form non-invertible symmetries in Kitaev's quantum double model
Decohered non-Abelian Kitaev quantum double states exhibit strong-to-weak spontaneous symmetry breaking of non-invertible higher-form symmetries and form an information convex set whose dimension equals the pure-state ground-state degeneracy.
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Strong-to-Weak Spontaneous Symmetry Breaking
SW-SSB extends symmetry breaking to mixed states and serves as a unifying perspective connecting topological orders, emergent hydrodynamics, and information-theoretic characterizations of phases in open systems.