Krylov winding emerges as a generic feature of quantum chaotic systems from the universal operator growth bound, producing size winding when a low-rank Krylov-to-size mapping exists and the chaos bound saturates.
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In 2D topological models, edge modes produce dynamical scars that carry initial perturbation information around the boundary without scrambling, with scars passing through each other.
citing papers explorer
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Krylov Winding and Emergent Coherence in Operator Growth Dynamics
Krylov winding emerges as a generic feature of quantum chaotic systems from the universal operator growth bound, producing size winding when a low-rank Krylov-to-size mapping exists and the chaos bound saturates.
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Dynamical Scarring from Scrambling in Two Dimensional Topological Materials
In 2D topological models, edge modes produce dynamical scars that carry initial perturbation information around the boundary without scrambling, with scars passing through each other.