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We propose a method for generation of genuine multipartite entangled statesin a short-range Ising spin chain with periodic global pulses of magneticfield. We consider an integrable and a non-integrable Floquet system that areperiodic in time and have constant quasi-energy gaps with degeneracies. Westart with all spins polarized along one direction and show that they evolveinto states with high entanglement by calculating the average entanglemententropy and geometric measure of entanglement. We show that some of thesestates have a high number of parties involved in the entanglement bycalculating the quantum Fisher information. Such controlled generation ofmultipartite entanglement has potential applications in quantum informationprocessing.

Controlled generation of genuine multipartite entanglement in Floquet Ising spin models