Four-point function in the IOP matrix model
arXiv:1602.06422
Abstract
The IOP model is a quantum mechanical system of a large- 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 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.
28 pages, 10 figures
References in corpus (18)
- A bound on chaos
- Eternal Black Holes in AdS
- Black holes and the butterfly effect
- Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
- Chaos in quantum channels
- The Spectrum in the Sachdev-Ye-Kitaev Model
- Localized shocks
- Bekenstein-Hawking Entropy and Strange Metals
- Multiple Shocks
- Many-body chaos at weak coupling
- Disrupting Entanglement of Black Holes
- Chaos in the black hole S-matrix
- A Matrix Model for Black Hole Thermalization
- Matrix Models for the Black Hole Information Paradox
- Chaos in Matrix Models and Black Hole Evaporation
- Stringy effects in scrambling
- Universal quantum constraints on the butterfly effect
- A Quantum Correction To Chaos