  We solve for the time-dependent finite-size scaling functions of the 1D
transverse-field Ising chain during a linear-in-time ramp of the field through
the quantum critical point. We then simulate Mott-insulating bosons in a tilted
potential, an experimentally-studied system in the same equilibrium
universality class, and demonstrate that universality holds for the dynamics as
well. We find qualitatively athermal features of the scaling functions, such as
negative spin correlations, and show that they should be robustly observable
within present cold atom experiments.
