A Lie-algebraic framework unifies Krylov dynamics for time-dependent Hamiltonians, yielding a quantum speed limit whose saturation requires time-commuting Hamiltonians.
Krylov complexity in quantum field theory, and beyond
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An analytical method is presented to calculate Lanczos coefficients governing Krylov complexity in the reduced pulsating fuzzy sphere version of the BMN matrix model for large and small deformations.
In the BMN matrix model and its holographic duals, Krylov basis states and Lanczos coefficients are uniquely fixed by the model's mass parameter.
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.
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Krylov Dynamics and Operator Growth in Time-Dependent Systems via Lie Algebras
A Lie-algebraic framework unifies Krylov dynamics for time-dependent Hamiltonians, yielding a quantum speed limit whose saturation requires time-commuting Hamiltonians.
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Krylov state complexity for BMN matrix model
An analytical method is presented to calculate Lanczos coefficients governing Krylov complexity in the reduced pulsating fuzzy sphere version of the BMN matrix model for large and small deformations.
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Krylov complexity for Lin-Maldacena geometries and their holographic duals
In the BMN matrix model and its holographic duals, Krylov basis states and Lanczos coefficients are uniquely fixed by the model's mass parameter.
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Krylov Complexity
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.