  Quantum entanglement and its main quantitative measures, the entanglement
entropy and entanglement negativity, play a central role in many body physics.
An interesting twist arises when the system considered has symmetries leading
to conserved quantities: Recent studies introduced a way to define, represent
in field theory, calculate for 1+1D conformal systems, and measure, the
contribution of individual charge sectors to the entanglement measures between
different parts of a system in its ground state. In this paper, we apply these
ideas to the time evolution of the charge-resolved contributions to the
entanglement entropy and negativity after a local quantum quench. We employ
conformal field theory techniques and find that the known dependence of the
total entanglement on time after a quench, $S_A \sim \log(t)$, results from
$\sim\sqrt{\log(t)}$ significant charge sectors, each of which contributes
$\sim\sqrt{\log(t)}$ to the entropy. We compare our calculation to numerical
results obtained by the time-dependent density matrix renormalization group
algorithm and exact solution in the noninteracting limit, finding good
agreement between all these methods.
