Experimental observation of average SPT phase in disordered Rydberg atom array at half-filling, supported by atom-atom correlations and slower edge spin decay in quench dynamics.
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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.
Ill-chosen reference states induce spurious long-range strange correlators in trivial SPT phases through magnitude degeneracy of the transfer matrix in MPS representations.
Strong symmetries in open quantum systems always break spontaneously to weak symmetry or completely, producing gapless Goldstone modes, charge diffusion, and time crystalline order in some cases.
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.
citing papers explorer
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Observation of average topological phase in disordered Rydberg atom array
Experimental observation of average SPT phase in disordered Rydberg atom array at half-filling, supported by atom-atom correlations and slower edge spin decay in quench dynamics.
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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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Spurious Strange Correlators in Symmetry-Protected Topological Phases
Ill-chosen reference states induce spurious long-range strange correlators in trivial SPT phases through magnitude degeneracy of the transfer matrix in MPS representations.
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Spontaneous symmetry breaking in open quantum systems: strong, weak, and strong-to-weak
Strong symmetries in open quantum systems always break spontaneously to weak symmetry or completely, producing gapless Goldstone modes, charge diffusion, and time crystalline order in some cases.
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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.