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

Dynamics of charge imbalance resolved negativity after a global quench in free scalar field theory