The RDM of 2D topological order at an entanglement cut realizes a 1D Z2 SW-SSB mixed-state phase whose correlations and disorder parameters encode anyon deconfinement and spinon fractionalization.
Schafer-Nameki, A
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String order parameters in 1D gapped phases with invertible or non-invertible symmetries organize into Lagrangian algebras in the Drinfel'd centre via tensor-network module categories.
Generalized entanglement entropies are constructed via left-, right-, and bi-invariant unit-invariant singular value decompositions to ensure scale invariance for non-Hermitian and rectangular operators in quantum mechanics, random matrices, and Chern-Simons theory.
The symmetry category of a 2D QFT with G-symmetry and anomaly k equals the twisted Hilbert space category Hilb^k(G), whose Drinfeld center is the twisted representation category of the conjugation groupoid C*-algebra, enabling braiding computations in the 3D SymTFT.
Coupling frustration-free or commuting-projector Hamiltonians to bosons produces high-temperature Gibbs states that reproduce low-temperature order.
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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From Topological Order to Mixed-State Phases: A Ground-State Probe of Fractionalized Excitations
The RDM of 2D topological order at an entanglement cut realizes a 1D Z2 SW-SSB mixed-state phase whose correlations and disorder parameters encode anyon deconfinement and spinon fractionalization.
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Algebras of order parameters in one-dimensional spin systems
String order parameters in 1D gapped phases with invertible or non-invertible symmetries organize into Lagrangian algebras in the Drinfel'd centre via tensor-network module categories.
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Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition
Generalized entanglement entropies are constructed via left-, right-, and bi-invariant unit-invariant singular value decompositions to ensure scale invariance for non-Hermitian and rectangular operators in quantum mechanics, random matrices, and Chern-Simons theory.
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Categorical Symmetries via Operator Algebras
The symmetry category of a 2D QFT with G-symmetry and anomaly k equals the twisted Hilbert space category Hilb^k(G), whose Drinfeld center is the twisted representation category of the conjugation groupoid C*-algebra, enabling braiding computations in the 3D SymTFT.
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Exploring Entropic Orders: High Temperature Continuous Symmetry Breaking, Chiral Topological States and Local Commuting Projector Models
Coupling frustration-free or commuting-projector Hamiltonians to bosons produces high-temperature Gibbs states that reproduce low-temperature order.
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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.