Reply to Comment on "Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model"
Strongly Correlated Electrons
2021-03-15 v2
Abstract
In a recent comment to the paper Chaotic Integrable transition in the SYK model, it was claimed that, in a certain region of parameters, the Lyapunov exponent of the N Majoranas Sachdev-Ye-Kitaev model with a quadratic perturbation, is always positive. This implies that the model is quantum chaotic. In this reply, we show that the employed perturbative formalism breaks down precisely in the range of parameters investigated in the comment due to a lack of separation of time scales. Moreover, based on recent analytical results, we show that for any large and fixed N, the model has indeed a chaotic-integrable transition that invalidate the results of the comment.
Cite
@article{arxiv.2007.06121,
title = {Reply to Comment on "Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model"},
author = {Antonio M. García-García and Bruno Loureiro and Aurelio Romero-Bermúdez and Masaki Tezuka},
journal= {arXiv preprint arXiv:2007.06121},
year = {2021}
}
Comments
v1: 2 pages and 3 figures. v2: corrected typos, published PRL version