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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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.
Higher moments of the projected process ensemble reveal entanglement structures that distinguish chaotic from integrable dynamics more sharply than quantum dynamical or spatiotemporal entropies.
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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.
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Diagnosing chaos with projected ensembles of process tensors
Higher moments of the projected process ensemble reveal entanglement structures that distinguish chaotic from integrable dynamics more sharply than quantum dynamical or spatiotemporal entropies.