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Probing chaos in the spherical $p$-spin glass model
by Lorenzo Correale, Anatoli Polkovnikov, Marco Schirò, Alessandro Silva
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Lorenzo Correale · Marco Schirò · Alessandro Silva |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202309_00002v2 (pdf) |
| Date accepted: | 2023-10-23 |
| Date submitted: | 2023-10-18 10:27 |
| Submitted by: | Correale, Lorenzo |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
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.
Author comments upon resubmission
We thank the referees for their report.
We have made revisions based on the observations of Referee 2, as reported in the "List of changes".
We hope that with these changes the paper will be accepted for publication in Scipost.
List of changes
- We fixed all the typos noticed by the referee and clarified the definition of the vector $\mathbf{z}$ (now renamed as "$\mathbf{y}$").
- We improved the physical interpretation of the dynamics from the correlation functions, making a clear distinction between a real "ergodicity breaking" and "slow dynamics".
Published as SciPost Phys. 15, 190 (2023)