A sharp transition in quantum chaos and thermodynamics of mass deformed SYK model
Abstract
We review our recent work [arXiv:2009.10759] where we studied the chaotic property of the two coupled Sachdev-Ye-Kitaev systems exhibiting a Hawking-Page like phase transition. By computing the out-of-time-ordered correlator in the large N limit by using the bilocal field formalism, we found that the chaos exponent of this model shows a discontinuous fall-off at the phase transition temperature. Hence in this model the Hawking-Page like transition is correlated with a transition in chaoticity, as expected from the relation between a black hole geometry and the chaotic behavior in the dual field theory.
Keywords
Cite
@article{arxiv.2012.10628,
title = {A sharp transition in quantum chaos and thermodynamics of mass deformed SYK model},
author = {Tomoki Nosaka},
journal= {arXiv preprint arXiv:2012.10628},
year = {2020}
}
Comments
9 pages, 3 figures, Proceedings of 4th International Conference on Holography, String Theory and Discrete Approach in Hanoi (3-8 August 2020)