Entanglement in Mesoscopic Structures: Role of Projection

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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5 pages, 1 figure

Scientific paper

10.1103/PhysRevB.69.235312

We present a theoretical analysis of the appearance of entanglement in non-interacting mesoscopic structures. Our setup involves two oppositely polarized sources injecting electrons of opposite spin into the two incoming leads. The mixing of these polarized streams in an ideal four-channel beam splitter produces two outgoing streams with particular tunable correlations. A Bell inequality test involving cross-correlated spin-currents in opposite leads signals the presence of spin-entanglement between particles propagating in different leads. We identify the role of fermionic statistics and projective measurement in the generation of these spin-entangled electrons.

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