  In this paper, we consider the time evolution of charge imbalance resolved
negativity after a global quench in the 1+1 dimensional complex Klein-Gordon
theory. We focus on two types of global quenches which are called boundary
state quench and mass quench respectively. We first study the boundary state
quench where the post-quench dynamic is governed by a massless Hamiltonian. In
this case, the temporal evolution of charged imbalance resolved negativity can
be obtained first by evaluating the correlators of the fluxed twist field in
the upper half plane and then applying Fourier transformation. We numerical
test our analytical formulas in the underlying lattice model. We also study the
mass quench in the complex harmonic chain where the system is evolved according
to a massive Hamiltonian after the quench. We argue that our results can be
understood in the framework of quasi-particle picture.
