  We calculate the four-wave scattering amplitude in the background of an AdS
traversable wormhole in 2+1 dimensions created by a nonlocal coupling of AdS
boundaries in the BTZ black hole background. The holographic dual of this setup
is a pair of CFTs coupled via a double-trace deformation, the scattering
amplitude giving the out-of-time ordered correlator (OTOC) in CFT. Short-living
wormholes always exhibit a regime of fast scrambling, saturating the MSS bound
for the Lyapunov exponent but in the early-time regime the scrambling can be
slower, with a Lyapunov exponent linear in $T$ but below the MSS bound. For
long-living (near-eternal) wormholes however the numerics suggests the
existence of another regime, with a drastic (exponential) slowdown of
scrambling and an exponentially small Lyapunov exponent. Our findings have
parallels in the SYK model, and may indicate certain limitations of wormhole
teleportation protocols previously studied in the literature.
