LOE for Haar random dynamics asymptotically matches the Page curve for traceless operators and is independent of the initial operator at leading order.
Scram- bling dynamics and out-of-time ordered correlators in quantum many-body sys- tems: a tutorial
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LogK complexity via replicas distinguishes genuine scrambling from saddle effects in quantum and classical systems and refines the measure for integrable cases.
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.
In TTbar-deformed anomalous CFT2 the chaos bound stays saturated while butterfly velocity depends nontrivially on deformation strength and anomaly, with a Hagedorn regime where the chaotic response turns complex.
In the fully chaotic regime of the kicked top, long-time freeness is reached exponentially fast, accompanied by a hierarchy of time scales indicating a multifractal approach.
Arnoldi coefficients approach unity exponentially in heating phases of driven CFTs but oscillate in non-heating phases; lattice realizations show distinct spectral and graph signatures despite similar CFT Krylov growth.
TETRIS-ADAPT-VQE achieves fidelities above 99.3% for SYK (N=20) and 99.9998% for SK (L=18) but requires large resources for SYK models.
citing papers explorer
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Page Curve for Local-Operator Entanglement from Free Probability
LOE for Haar random dynamics asymptotically matches the Page curve for traceless operators and is independent of the initial operator at leading order.
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Towards a Refinement of Krylov Complexity: Scrambling, Classical Operator Growth and Replicas
LogK complexity via replicas distinguishes genuine scrambling from saddle effects in quantum and classical systems and refines the measure for integrable cases.
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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.
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Butterflies in $\textrm{T}\overline{\textrm{T}}$ deformed anomalous CFT$_2$
In TTbar-deformed anomalous CFT2 the chaos bound stays saturated while butterfly velocity depends nontrivially on deformation strength and anomaly, with a Hagedorn regime where the chaotic response turns complex.
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Long-time Freeness in the Kicked Top
In the fully chaotic regime of the kicked top, long-time freeness is reached exponentially fast, accompanied by a hierarchy of time scales indicating a multifractal approach.
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Krylov Complexity in Periodically Driven CFTs and Critical Fermions
Arnoldi coefficients approach unity exponentially in heating phases of driven CFTs but oscillate in non-heating phases; lattice realizations show distinct spectral and graph signatures despite similar CFT Krylov growth.
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Ground state preparation of random all-to-all Hamiltonians using ADAPT-VQE
TETRIS-ADAPT-VQE achieves fidelities above 99.3% for SYK (N=20) and 99.9998% for SK (L=18) but requires large resources for SYK models.