Entanglement detection from conductance measurements in carbon nanotube Cooper pair splitters

Spin-orbit interaction provides a spin filtering effect in carbon nanotube based Cooper pair splitters that allows us to determine spin correlators directly from current measurements. The spin filtering axes are tunable by a global external magnetic field. By a bending of the nanotube the filtering...

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Bibliographic Details
Published in:arXiv.org 2013-09
Main Authors: Braunecker, Bernd, Burset, Pablo, Alfredo Levy Yeyati
Format: Article
Language:English
Subjects:
Axes (reference lines)
Bell's inequality
Carbon nanotubes
Cooper pairs
Correlation analysis
Entanglement
Filtration
Nanotubes
Resistance
Spin-orbit interactions
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Summary:Spin-orbit interaction provides a spin filtering effect in carbon nanotube based Cooper pair splitters that allows us to determine spin correlators directly from current measurements. The spin filtering axes are tunable by a global external magnetic field. By a bending of the nanotube the filtering axes on both sides of the Cooper pair splitter become sufficiently different that a test of entanglement of the injected Cooper pairs through the Bell inequality can be implemented. This implementation does not require noise measurements, supports imperfect splitting efficiency and disorder, and does not demand a full knowledge of the spin-orbit strength. Using a microscopic calculation we demonstrate that entanglement detection by violation of the Bell inequality is within the reach of current experimental setups.
ISSN:2331-8422
DOI:10.48550/arxiv.1303.6196