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.

arXiv comment9 pages, 3 figures, Proceedings of 4th International Conference on Holography, String Theory and Discrete Approach in Hanoi (3-8 August 2020)

References in corpus (11)

• A bound on chaos
• Comments on the Sachdev-Ye-Kitaev model
• The distribution of the ratio of consecutive level spacings in random matrix ensembles
• Multiple Shocks
• Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
• Eternal traversable wormhole
• Sachdev-Ye-Kitaev Model and Thermalization on the Boundary of Many-Body Localized Fermionic Symmetry Protected Topological States
• Quantum chaos transition in a two-site SYK model dual to an eternal traversable wormhole
• Revival dynamics in a traversable wormhole
• Many-Body Localization in a finite-range Sachdev-Ye-Kitaev model
• Black holes from large N singlet models