Entanglement links and the quasiparticle picture

The time evolution of a quantum state with short-range correlations after a quench to a 1D 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 the speed of light. 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 which provides the time evolution of the entanglement entropies.