The linear growth of entanglement after a quench from a state with short-range correlations is a universal feature of many body dynamics. It has been shown to occur in integrable and chaotic systems undergoing either Hamiltonian, Floquet or circuit dynamics and has also been observed in experiments. The entanglement dynamics emerging from long-range correlated states is far less studied, although no less viable using modern quantum simulation experiments. In this talk, I will present the dynamics of the bipartite entanglement entropy in quenches starting from Crosscap States, also knows as Entangled Antipodal Pair States, and one possible extension dubbed Entangled Mutlipodal States.
These are volume law states, constructed by entangling 2 or more equidistant points of a finite and periodic system. I will focus on the evolution of these initial states, in a free fermionic quench and probe the dynamics of bipartite entanglement entropy. In particular, I will show how one can derive an effective description of the entanglement dynamics, that matches the exact results. The quench dynamics is captured by an emergent quasiparticle picture description, which differs from the one that characterizes quenches from lowly entangled states, due to the long-range correlations of the initial states. For small enough subsystems, the entanglement entropy, initially remains to the volume law value and then there is a linear in time decrease, followed by a series of oscillatory revivals which happen around a constant value. For larger subsystems entanglement may increase, showcasing more intricate dynamics, where one can also retrieve physics of lowly entangled state quenches.