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A sharp transition in quantum chaos and thermodynamics of mass deformed SYK model

Tomoki Nosaka

SciPost Phys. Proc. 4, 006 (2021) · published 13 August 2021

Proceedings event

4th International Conference on Holography, String Theory and Discrete Approach in Hanoi


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.

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