Entanglement creation for two-electron scattering in a 2D system

Recently great attention has been addressed to the study of quantum correlations in systems of identical particles. Various definitions of entanglement for indistinguishable particles are present in the literature. Following Schliemann's theory, here we perform a quantitative evaluation of the entanglement dynamics for electron-electron scattering in a 2D system in terms of the von Neumann entropy of the reduced one-particle density matrix. Our approach allows us to define the time of entanglement formation and to investigate the role of the space and spin degrees of freedom in the building up of quantum correlations.