  We propose a method for generation of genuine multipartite entangled states
in a short-range Ising spin chain with periodic global pulses of magnetic
field. We consider an integrable and a non-integrable Floquet system that are
periodic in time and have constant quasi-energy gaps with degeneracies. We
start with all spins polarized along one direction and show that they evolve
into states with high entanglement by calculating the average entanglement
entropy and geometric measure of entanglement. We show that some of these
states have a high number of parties involved in the entanglement by
calculating the quantum Fisher information. Such controlled generation of
multipartite entanglement has potential applications in quantum information
processing.
