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Lower bound for electron spin entanglement from beamsplitter current correlations

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2003

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Loss, Daniel

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Physical Review Letters. 2003, 91, 87903. Available under: doi: 10.1103/PhysRevLett.91.087903

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We determine a lower bound for the entanglement of pairs of electron spins injected into a mesoscopic conductor. The bound can be expressed in terms of experimentally accessible quantities, the zero-frequency current correlators (shot noise power or cross-correlators) after transmission through an electronic beam splitter. The effect of spin relaxation (T1 processes) and decoherence (T2 processes) during the ballistic coherent transmission of the carriers in the wires is taken into account within Bloch theory. The presence of a variable inhomogeneous magnetic field allows the determination of a useful lower bound for the entanglement of arbitrary entangled states. The decrease in entanglement due to thermally mixed states is studied. Both the entanglement of the output of a source (entangler) and the relaxation (T1) and decoherence (T2) times can be determined.

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530 Physik

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ISO 690BURKARD, Guido, Daniel LOSS, 2003. Lower bound for electron spin entanglement from beamsplitter current correlations. In: Physical Review Letters. 2003, 91, 87903. Available under: doi: 10.1103/PhysRevLett.91.087903
BibTex
@article{Burkard2003Lower-4836,
  year={2003},
  doi={10.1103/PhysRevLett.91.087903},
  title={Lower bound for electron spin entanglement from beamsplitter current correlations},
  volume={91},
  journal={Physical Review Letters},
  author={Burkard, Guido and Loss, Daniel},
  note={Article Number: 87903}
}
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    <dcterms:abstract xml:lang="eng">We determine a lower bound for the entanglement of pairs of electron spins injected into a mesoscopic conductor. The bound can be expressed in terms of experimentally accessible quantities, the zero-frequency current correlators (shot noise power or cross-correlators) after transmission through an electronic beam splitter. The effect of spin relaxation (T1 processes) and decoherence (T2 processes) during the ballistic coherent transmission of the carriers in the wires is taken into account within Bloch theory. The presence of a variable inhomogeneous magnetic field allows the determination of a useful lower bound for the entanglement of arbitrary entangled states. The decrease in entanglement due to thermally mixed states is studied. Both the entanglement of the output of a source (entangler) and the relaxation (T1) and decoherence (T2) times can be determined.</dcterms:abstract>
    <dcterms:bibliographicCitation>First publ. in: arXiv:cond-mat/0303209 [cont-mat.mes-hall], also publ. in: Physical Review Letters 91 (2003), 087903</dcterms:bibliographicCitation>
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