  As the out-of-time-order correlator (OTOC) is a measure of quantum chaos and
an important observable in the context of AdS/CFT, we investigate the OTOC of
holographic Skyrmion which is described by an analytical quantum mechanical
system from the D4/D8 model (as the holographic QCD). By employing the OTOC
defined in quantum mechanics, we derive the formulas and demonstrate the
numerical calculations of the OTOC explicitly which is also available for the
general case with central force field. Our numerical evaluation illustrates the
behaviors of the OTOC with large $N_{c}$, however the expected exponential
growth of OTOC is not obtained. Besides, we also take a look at the classical
limit of the OTOC and analyze the associated behaviors. At the end of this
work, we additionally study the OTOC with three-dimensional Coulomb potential,
as another example for the central force field, to support our analyses of the
general properties of quantum OTOC.
