  We consider the non-stationary quantum relaxation of the Ising spin chain in
a transverse field of strength h. Starting from a homogeneously magnetized
initial state the system approaches a stationary state by a process possessing
quasi long range correlations in time and space, independent of the value of
$h$. In particular the system exhibits aging (or lack of time translational
invariance on intermediate time scales) although no indications of coarsening
are present.
