Iberian Strings Meetings 

20/01/2021, 11:00 — 11:30 — Online
Mihailo Cubrovic, University of Belgrade

Lyapunov spectra in traversable wormholes and their holographic duals

We study the decay of out-of-time-ordered correlators (OTOC) in an AdS traversable wormhole and its gravity dual, two coupled Sachdev-Ye-Kitaev models ("left" and "right" subsystem). The gravity calculation of OTOC involves perturbative equations more involved than for a black hole, as the perturbation has complex kinematics and can bounce back and forth through the wormhole many times. The outcome is a phase diagram with three regions. One is black-hole like with uniform exponential growth and the Lyapunov exponent $\lambda=2\pi T$ ("the chaos bound"). The intermediate phase has OTOCs with a spectrum of different exponents for different operator modes, all below the maximal chaos bound. The third phase has exponentially small Lyapunov exponents, behaving as $\exp(-1/T)$, in accordance with a recent field-theory calculation in the literature. The Lyapunov spectrum carries more information than just the maximum exponent: it can be related e.g. to teleportation fidelity from left to right subsystem.

See also

CubrovicIberianLongFin.pdf