Local quenches in chaotic quantum systems produce a Renyi-index-tuned hierarchy of entanglement transitions, with S_alpha>1 obeying area law while S_alpha<=1 is volume-law, carried by an O(1)-dimensional dominant Schmidt sector that itself exhibits similar transitions at lower critical indices.
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2026 2verdicts
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Domain-wall magnetization persists indefinitely in coupled XX chains due to exponentially many chiral symmetry-protected zero modes, with a localization transition at critical interchain coupling.
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Hierarchical entanglement transitions and hidden area-law sectors in quantum many-body dynamics
Local quenches in chaotic quantum systems produce a Renyi-index-tuned hierarchy of entanglement transitions, with S_alpha>1 obeying area law while S_alpha<=1 is volume-law, carried by an O(1)-dimensional dominant Schmidt sector that itself exhibits similar transitions at lower critical indices.
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Magnetic domains stabilized by symmetry-protected zero modes
Domain-wall magnetization persists indefinitely in coupled XX chains due to exponentially many chiral symmetry-protected zero modes, with a localization transition at critical interchain coupling.