Abstract
The IOP model is a quantum mechanical system of a large-N matrix oscillator and a fundamental oscillator, coupled through a quartic interaction. It was introduced previously as a toy model of the gauge dual of an AdS black hole, and captures a key property that at infinite N the two-point function decays to zero on long time scales. Motivated by recent work on quantum chaos, we sum all planar Feynman diagrams contributing to the four-point function. We find that the IOP model does not satisfy the more refined criteria of exponential growth of the out-of-time-order four-point function.
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Michel, B., Polchinski, J., Rosenhaus, V. et al. Four-point function in the IOP matrix model. J. High Energ. Phys. 2016, 48 (2016). https://doi.org/10.1007/JHEP05(2016)048
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DOI: https://doi.org/10.1007/JHEP05(2016)048