Chaos in a classical limit of the Sachdev-Ye-Kitaev model
Chaos in a classical limit of the Sachdev-Ye-Kitaev model
We study chaos in a classical limit of the Sachdev-Ye-Kitaev (SYK) model obtained in a suitably defined large-$S$ limit. The low-temperature Lyapunov exponent is found to depend linearly on temperature, with a slope that is parametrically different than in the quantum case: It is proportional to $N/S$. The classical dynamics …