In disordered 1D quantum spin ensembles with Ising symmetry, gapped phases exhibit a strict trade-off: they have either long-range Edwards-Anderson order or even-parity disorder, but not both.
URL https://link.aps.org/doi/ 10.1103/mqp8-y1m7
4 Pith papers cite this work. Polarity classification is still indexing.
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2026 4verdicts
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Develops local diagnostics for strong symmetries and strong-to-weak symmetry breaking via infinite-volume definitions and local charge coherence, introduces von Neumann symmetries, and derives an LSM-type anomaly constraint for quantum spin chains.
Symmetry breaking and nonlocality phase transitions occur nearly simultaneously during diffusion model generation in modern transformers.
Rapid mixing and frustration-freeness in short- and long-range Lindbladians imply polynomial decay of MI and CMI in fixed points, and long-range non-commuting Gibbs states satisfy local Markov property at any temperature.
citing papers explorer
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Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models
Symmetry breaking and nonlocality phase transitions occur nearly simultaneously during diffusion model generation in modern transformers.