Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model.
García-García, Antonio M
Phys Rev Lett
American Physical Society (APS)
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García-García, A. M., Loureiro, B., Romero-Bermúdez, A., & Tezuka, M. (2018). Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model.. Phys Rev Lett, 120 (24), 241603. https://doi.org/10.1103/PhysRevLett.120.241603
Quantum chaos is one of the distinctive features of the Sachdev-Ye-Kitaev (SYK) model, N Majorana fermions in 0+1 dimensions with infinite-range two-body interactions, which is attracting a lot of interest as a toy model for holography. Here we show analytically and numerically that a generalized SYK model with an additional one-body infinite-range random interaction, which is a relevant perturbation in the infrared, is still quantum chaotic and retains most of its holographic features for a fixed value of the perturbation and sufficiently high temperature. However, a chaotic-integrable transition, characterized by the vanishing of the Lyapunov exponent and spectral correlations given by Poisson statistics, occurs at a temperature that depends on the strength of the perturbation. We speculate about the gravity dual of this transition.
External DOI: https://doi.org/10.1103/PhysRevLett.120.241603
This record's URL: https://www.repository.cam.ac.uk/handle/1810/282899
Attribution 4.0 International
Licence URL: https://creativecommons.org/licenses/by/4.0/