  We investigate the quench dynamics of a one-dimensional incommensurate
lattice described by the Aubry-Andr\'{e} model by a sudden change of the
strength of incommensurate potential $\Delta$ and unveil that the dynamical
signature of localization-delocalization transition can be characterized by the
occurrence of zero points in the Loschmit echo. For the quench process with
quenching taking place between two limits of $\Delta=0$ and $\Delta=\infty$, we
give analytical expressions of the Loschmidt echo, which indicate the existence
of a series of zero points in the Loschmidt echo. For a general quench process,
we calculate the Loschmidt echo numerically and analyze its statistical
behavior. Our results show that if both the initial and post-quench Hamiltonian
are in extended phase or localized phase, Loschmidt echo will always be greater
than a positive number; however if they locate in different phases, Loschmidt
echo can reach nearby zero at some time intervals.
