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

• URL: http://arxiv.org/abs/2012.10628v1
• Date: Sat, 19 Dec 2020 08:38:40 GMT
• Title: A sharp transition in quantum chaos and thermodynamics of mass deformed SYK model
• Authors: Tomoki Nosaka
• Abstract summary: We studied the chaotic property of the two coupled Sachdev-Ye-Kitaev systems exhibiting a Hawking-Page like phase transition. We found that the chaos exponent of this model shows a discontinuous fall-off at the phase transition temperature. 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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