We study the relationship between many-body quantum chaos and energy dynamics
in holographic quantum field theory states dual to the simply-spinning
Myers-Perry-AdS$_5$ black hole. The enhanced symmetry of such black holes
allows us to provide a thorough examination of the phenomenon of pole-skipping,
that is significantly simpler than a previous analysis of quantum field theory
states dual to the Kerr-AdS$_4$ solution. In particular we give a general proof
of pole-skipping in the retarded energy density Green’s function of the dual
quantum field theory whenever the spatial profile of energy fluctuations
satisfies the shockwave equation governing the form of the OTOC. Furthermore,
in the large black hole limit we are able to obtain a simple analytic
expression for the OTOC for operator configurations on Hopf circles, and
demonstrate that the associated Lyapunov exponent and butterfly velocity are
robustly related to the locations of a family of pole-skipping points in the
energy response. Finally, we note that in contrast to previous studies, our
results are valid for any value of rotation and we are able to numerically
demonstrate that the dispersion relations of sound modes in the energy response
explicitly pass through our pole-skipping locations.
