Entanglement generation in a spin chain by a pulsed magnetic field: analytical treatment

Dynamics of the one-dimensional open Ising chain under influence of transverse magnetic field applied in form of π-pulses is studied. It is shown how the application of a specific sequence of such instant kicks to selective spins stimulates arising of perfect dynamical pairwise entanglement between ends of the spin chain. Analytic formulas for the concurrence dynamics are derived. It is also shown that the time required to perfectly entangle the ends of the chains grows linearly with the number of spins in the chain. The effect of the phase decoherence is briefly analyzed