Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model.


Type
Article
Change log
Authors
García-García, Antonio M 
Romero-Bermúdez, Aurelio 
Tezuka, Masaki 
Abstract

Quantum chaos is one of the distinctive features of the Sachdev-Ye-Kitaev (SYK) model, N Majorana fermions in 0+1 dimensions with infinite-range two-body interactions, which is attracting a lot of interest as a toy model for holography. Here we show analytically and numerically that a generalized SYK model with an additional one-body infinite-range random interaction, which is a relevant perturbation in the infrared, is still quantum chaotic and retains most of its holographic features for a fixed value of the perturbation and sufficiently high temperature. However, a chaotic-integrable transition, characterized by the vanishing of the Lyapunov exponent and spectral correlations given by Poisson statistics, occurs at a temperature that depends on the strength of the perturbation. We speculate about the gravity dual of this transition.

Description
Keywords
4902 Mathematical Physics, 49 Mathematical Sciences, 51 Physical Sciences
Journal Title
Phys Rev Lett
Conference Name
Journal ISSN
0031-9007
1079-7114
Volume Title
120
Publisher
American Physical Society (APS)