Chaotic strings in AdS/CFT

Understand

Holographic theories with classical gravity duals are maximally chaotic; i.e., they saturate the universal bound on the rate of growth of chaos.

• It is interesting to ask whether this property is true only for leading large $N$ correlators or if it can show up elsewhere.
• In this Letter we consider the simplest setup to tackle this question: a Brownian particle coupled to a thermal ensemble.
• We find that the four-point out-of-time-order correlator that diagnoses chaos initially grows at an exponential rate that saturates the chaos bound, i.e., with a Lyapunov exponent $\lambda_L=2\pi/\beta$.