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Generation of bipartite spin entanglement via spin-independent scattering

Lucas Lamata·Juan Leon
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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'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.

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Lucas Lamata, Juan Leon. 2006-05-29. Generation of bipartite spin entanglement via spin-independent scattering. https://doi.org/10.1103/physreva.73.052322

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