  In ultra-relativistic heavy-ion collisions, the strong electric field can be
produced by the colliding nuclei. The magnitude of the electric field $E$ is on
the order of $eE\sim m_{\pi}^2$ at the early stage of the collision. In quark
gluon plasma (QGP), such a strong electric field can have a significant impact
on the evolution of charmonia. We employ the time-dependent Schr\"odinger
equation to study the evolution of charmonium states in the strong electric
field generated by the moving charges. The electric field can result in
transitions between charmonium states with different angular momenta. In order
to see this effect, we make comparisons between the yields of $ J/\psi$,
$\psi'$ and $\chi_c$ with and without the electric field. The results show that
in the early stage of the collision the electric field induces significant
dissociation of $J/\psi$. In the meantime, $\chi_c$ is generated via the
transition from $J/\psi$ by the electric field.
