Probing chaos in the spherical p-spin glass model

Abstract

We study the dynamics of a quantum $p$-spin glass model starting from initial states defined in microcanonical shells, in a classical regime. We compute different chaos estimators, such as the Lyapunov exponent and the Kolmogorov-Sinai entropy, and find a marked maximum as a function of the energy of the initial state. By studying the relaxation dynamics and the properties of the energy landscape we show that the maximal chaos emerges in correspondence with the fastest spin relaxation and the maximum complexity, thus suggesting a qualitative picture where chaos emerges as the trajectories are scattered over the exponentially many saddles of the underlying landscape. We also observe hints of ergodicity breaking at low energies, indicated by the correlation function and a maximum of the fidelity susceptibility.

14+17 pages, 8 figures

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Cited by in corpus (3)

• Refined quantum Lyapunov exponents from replica out-of-time-order correlators
• Classical route to ergodicity and scarring in collective quantum systems
• Information scrambling and butterfly velocity in quantum spin glass chains