Physics – Quantum Physics
Scientific paper
2006-02-10
Phys. Rev. A 73, 052322 (2006)
Physics
Quantum Physics
5 pages and 3 figures. Accepted in PRA
Scientific paper
10.1103/PhysRevA.73.052322
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 $\pi/4<\theta\leq\pi/2$. This phenomenon is unrelated to the symmetrization postulate but does not appear for unequal particles.
Lamata Lucas
León Juan
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