SYK Model, Chaos and Conserved Charge
High Energy Physics - Theory
2018-01-17 v2
Abstract
We study the SYK model with complex fermions, in the presence of an all-to-all -body interaction, with a non-vanishing chemical potential. We find that, in the large limit, this model can be solved exactly and the corresponding Lyapunov exponent can be obtained semi-analytically. The resulting Lyapunov exponent is a sensitive function of the chemical potential . Even when the coupling , which corresponds to the disorder averaged values of the all to all fermion interaction, is large, values of which are exponentially small compared to lead to suppression of the Lyapunov exponent.
Cite
@article{arxiv.1709.07613,
title = {SYK Model, Chaos and Conserved Charge},
author = {Ritabrata Bhattacharya and Subhroneel Chakrabarti and Dileep P. Jatkar and Arnab Kundu},
journal= {arXiv preprint arXiv:1709.07613},
year = {2018}
}
Comments
18pages, 4 figures, v2:references and acknowledgment added, typos corrected