Entanglement Detection from Conductance Measurements in Carbon Nanotube Cooper Pair Splitters

Bernd Braunecker; Pablo Burset; Alfredo Levy Yeyati

doi:10.1103/PhysRevLett.111.136806

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Entanglement Detection from Conductance Measurements in Carbon Nanotube Cooper Pair Splitters

Bernd Braunecker, Pablo Burset, Alfredo Levy Yeyati

DOI 10.1103/PhysRevLett.111.136806 · Physical Review Letters

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Abstract

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 a Bell-like 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-like inequality is within the reach of current experimental setups.