A resource theory for strong symmetry breaking is formulated, with the variance of the conserved quantity characterizing its asymptotic manipulation for U(1) symmetry and enabling tracking of weak-to-strong conversion in open systems.
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Introduces subdimensional entanglement entropy (SEE) as a probe of geometric-topological responses in quantum phases and establishes a bulk-to-mixed-state holographic correspondence via strong and weak symmetries on subdimensional subsystems.
Decoherence on abelian topological order is modeled as a temporal defect in double TQFT driving boundary anyon condensation transitions classified by Lagrangian subgroups of the doubled order.
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Resource-Theoretic Quantifiers of Weak and Strong Symmetry Breaking: Strong Entanglement Asymmetry and Beyond
A resource theory for strong symmetry breaking is formulated, with the variance of the conserved quantity characterizing its asymptotic manipulation for U(1) symmetry and enabling tracking of weak-to-strong conversion in open systems.
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Subdimensional Entanglement Entropy: From Geometric-Topological Response to Mixed-State Holography
Introduces subdimensional entanglement entropy (SEE) as a probe of geometric-topological responses in quantum phases and establishes a bulk-to-mixed-state holographic correspondence via strong and weak symmetries on subdimensional subsystems.
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Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions
Decoherence on abelian topological order is modeled as a temporal defect in double TQFT driving boundary anyon condensation transitions classified by Lagrangian subgroups of the doubled order.