  We discuss the emergence of nonadiabatic behavior in the dynamics of the
order parameter in a low-dimensional quantum many-body system subject to a
linear ramp of one of its parameters. While performing a ramp within a gapped
phase seems to be the most favorable situation for adiabaticity, we show that
such a change leads eventually to the disruption of the order, no matter how
slowly the ramp is performed. We show this in detail by studying the dynamics
of the one-dimensional quantum Ising model subject to linear variation of the
transverse magnetic field within the ferromagnetic phase, and then propose a
general argument applicable to other systems.
