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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Introduces MPO encodings of the Magnus expansion and Dyson series for arbitrary-order accurate time evolution in 1D quantum lattices with time-dependent Hamiltonians, applicable to finite/infinite systems and long-range interactions.
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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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Matrix Product Operator Encodings of the Magnus Expansion and Dyson Series
Introduces MPO encodings of the Magnus expansion and Dyson series for arbitrary-order accurate time evolution in 1D quantum lattices with time-dependent Hamiltonians, applicable to finite/infinite systems and long-range interactions.
- Quantum Quenches that Resemble Operator Growth