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Local and nonlocal entanglement for quasiparticle pairs induced by Andreev reflection

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arxiv cond-mat/0608469 v1 submitted 2006-08-22 cond-mat.mes-hall cond-mat.other

Local and nonlocal entanglement for quasiparticle pairs induced by Andreev reflection

classification cond-mat.mes-hall cond-mat.other
keywords andreeventanglementlocalnonlocalreflectionconcurrenceinducednormal
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We investigate local and nonlocal entanglement of particle pairs induced by direct and crossed Andreev reflections at the interfaces between a superconductor and two normal conductors. It is shown theoretically that both local and nonlocal entanglement can be quantified by concurrence and detected from the violation of a Bell inequality of spin current correlators, which are determined only by normal reflection and Andreev reflection eigenvalues. There exists a one-to-one correspondence between the concurrence and the maximal Bell-CHSH parameter in the tunneling limit.

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