  The presence of a global internal symmetry in a quantum many-body system is
reflected in the fact that the entanglement between its subparts is endowed
with an internal structure, namely it can be decomposed as sum of contributions
associated to each symmetry sector. The symmetry resolution of entanglement
measures provides a formidable tool to probe the out-of-equilibrium dynamics of
quantum systems. Here, we study the time evolution of charge-imbalance-resolved
negativity after a global quench in the context of free-fermion systems,
complementing former works for the symmetry-resolved entanglement entropy.
  We find that the charge-imbalance-resolved logarithmic negativity shows an
effective equipartition in the scaling limit of large times and system size,
with a perfect equipartition for early and infinite times. We also derive and
conjecture a formula for the dynamics of the charged R\'enyi logarithmic
negativities. We argue that our results can be understood in the framework of
the quasiparticle picture for the entanglement dynamics, and provide a
conjecture that we expect to be valid for generic integrable models.
