Derivative of Krylov spread complexity diverges logarithmically at SSH topological transitions and is bounded by fidelity susceptibility in general two-band Hamiltonians, with a non-unitary duality between phases.
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Time-integrated spread complexity from bootstrapped Hamiltonian ensembles distinguishes ergodic regimes and shows a monotonic inverse relation to integrated fidelity decay in maximally entangled states.
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Krylov complexity and fidelity susceptibility in two-band Hamiltonians
Derivative of Krylov spread complexity diverges logarithmically at SSH topological transitions and is bounded by fidelity susceptibility in general two-band Hamiltonians, with a non-unitary duality between phases.
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Scrambling of Entanglement from Integrability to Chaos: Bootstrapped Time-Integrated Spread Complexity
Time-integrated spread complexity from bootstrapped Hamiltonian ensembles distinguishes ergodic regimes and shows a monotonic inverse relation to integrated fidelity decay in maximally entangled states.