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.
Average-exact mixed anomalies and compatible phases,
2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
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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.
citing papers explorer
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Order-disorder trade-off in dirty quantum systems
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.
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A local description of strong symmetries and strong-to-weak symmetry breaking in quantum many-body systems
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.