Regensburg 2013 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 12: Poster Session Superconductivity
TT 12.13: Poster
Monday, March 11, 2013, 15:00–19:00, Poster D
Electron entanglement in Cooper pair beam splitter with magnetic fields — •Stephan Weiss1, Jürgen König1, and Yuval Gefen2 — 1Universität Duisburg-Essen and CENIDE, 47048 Duisburg — 2Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel
We develop a theory that suggests the efficient manipulation of entangled electrons provided by a Cooper pair beam splitter. The splitting of coherent electrons forming a spin singlet is present if the superconductor is tunnel coupled to a double quantum dot [1]. In order to probe entanglement, we allow for an inhomogeneous and, in general, non-collinear magnetic field. If the DQD-SC system is embedded in a transport setup, non-local current and noise properties are obtained within the real-time diagrammatic method [2]. As a small parameter we use the hybridization between splitter and normal leads. The tunnel coupling to the superconductor is taken into account non-perturbatively. Furthermore, we provide a detailed investigation of the violation of Bell’s inequality for various parameter regimes.
[1] J. Eldridge, M. Governale, and J. König, Phys. Rev. B 82 184507, (2010)
M. Governale, M. Pala, and J. König, Phys. Rev. B 77 134513, (2008)