  In this paper, we consider the dynamics of charge imbalance resolved
negativity after a local joining quench in the 1 + 1 dimensional free complex
boson CFT. In the first part, we study the local joining quench by applying
conformal maps, obtaining analytical universal results. We first calculate the
quench dynamics of charged logarithmic negativity. Then using the Fourier
transformation, we obtain the charge imbalance resolved negativity. The total
negativity can be recovered from the charge-resolved ones. In the second part,
we test our CFT predictions against the underlying lattice model numerically.
Finally, we explain our results based on the quasi-particle picture.
