Entanglement generation in scattering of particles from spin impurities

In this paper, entanglement generation by scattering of particles from spin impurities is analyzed. At first, a problem in which an incident particle interacts with an impurity through the Ising and/or Heisenberg interactions is considered. Then, the analysis is extended to investigate the entanglement creation in scattering of particles form two impurities with the same interactions. When the particle is scattered by two impurities, it is shown that a quantum correlation is created between the impurities which is periodic with respect to wavelength of the incident particle. For this case, also it is shown that the Ising interaction is more effective for creating the entanglement between the impurities than the Heisenberg interaction.