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, $\theta$. 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 $\theta =\pi /2$. We also analyze a simple $\theta$ dependent Bell's inequality, which is violated for $\pi /4<\theta \le \pi /2$. This phenomenon is unrelated to the symmetrization postulate but does not appear for unequal particles.

arXiv comment5 pages and 3 figures. Accepted in PRA

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