  In this paper we derive optimal algebraic-in-time relaxation rates to the
kink for the Cahn-Hilliard equation on the line. We assume that the initial
data have a finite distance---in terms of either a first moment or the excess
mass---to a kink profile and capture the decay rate of the energy and the
perturbation. Our tools include Nash-type inequalities, duality arguments, and
Schauder estimates.
