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

Tomoki Nosaka

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arXiv · 2012.10628

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

Tomoki Nosaka

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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.

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Tomoki Nosaka. 2020-12-19. A sharp transition in quantum chaos and thermodynamics of mass deformed SYK model. https://arxiv.org/abs/2012.10628

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