  The pole-skipping has been discussed in black hole backgrounds, but we point
out that the pole-skipping exists even in a non-black-hole background, the AdS
soliton. For black holes, the pole-skipping points are typically located at
imaginary Matsubara frequencies $\omega=-(2\pi T)ni$ with an integer $n$. The
AdS soliton is obtained by the double Wick rotation from a black hole. As a
result, the pole-skipping points are located at $q_z=-(2\pi n)/l$, where $l$ is
the $S^1$ periodicity and $q_z$ is the $S^1$ momentum. The ``chaotic" and the
``hydrodynamic" pole-skipping points lie in the physical region. We also
propose a method to identify all pole-skipping points instead of the
conventional method.
