  The time evolution of a quantum state with short-range correlations after a
quench to a one-dimensional critical Hamiltonian can be understood using the
quasi-particle picture, which states that local entanglement spreads as if it
was carried by quasi-particles which separate at a fixed speed. We extend the
quasi-particle picture using the recently introduced link representation of
entanglement, allowing us to apply it to initial states presenting long-range
correlations. The entanglement links are current correlators, and therefore
follow a wave equation on the appropriate configurational space which allows us
to predict the time evolution of the entanglement entropies. Our results are
checked numerically for free fermionic chains with different initial
entanglement patterns.
