  We discuss a protocol for the analogue quantum simulation of superradiance
and subradiance using a linear chain of N trapped qubit ions with a single
sympathetic cooling ion. We develop a simple analytic model that shows the
dynamics of the qubit subspace converge to those of a cloud undergoing Dicke
superradiance and subradiance. We provide numerical simulations of the full ion
chain and show that they converge to the dynamics predicted by our analytic
model with no fitting parameters. We also map out the parameter regime needed
to reach this convergence.
