Generation of bipartite spin entanglement via spin-independent scattering

Abstract

We consider the bipartite spin entanglement between two identical fermions generated in spin-independent scattering. We show how the spatial degrees of freedom act as ancillas for the creation of entanglement to a degree that depends on the scattering angle, $θ$. The number of Slater determinants generated in the process is greater than 1, corresponding to genuine quantum correlations between the identical fermions. The maximal entanglement attainable of 1 ebit is reached at $θ=π/2$. We also analyze a simple $θ$ dependent Bell&#39;s inequality, which is violated for $π/4<θ\leqπ/2$. This phenomenon is unrelated to the symmetrization postulate but does not appear for unequal particles.