# Holographic Kolmogorov-Sinai entropy and the quantum Lyapunov spectrum

@inproceedings{Maier2021HolographicKE, title={Holographic Kolmogorov-Sinai entropy and the quantum Lyapunov spectrum}, author={Georg Maier and Andreas Schafer and Sebastian Waeber}, year={2021} }

In classical chaotic systems the entropy, averaged over initial phase space distributions, follows an universal behavior. While approaching thermal equilibrium it passes through a stage where it grows linearly, while the growth rate, the KolmogorovSinai entropy, is given by the sum over all positive Lyapunov exponents. A natural question is whether a similar relation is valid for quantum systems. We argue that the Maldacena-Shenker-Stanford bound on quantum Lyapunov exponents λ implies that the… Expand

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