Berlin 2008 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 22: Transport: Poster Session
TT 22.24: Poster
Wednesday, February 27, 2008, 14:00–18:00, Poster B
Finite-temperature Bell test for quasiparticle entanglement in the Fermi sea — •Wolf-Rüdiger Hannes1, Mikhail Titov1,2, and Wolfgang Belzig1 — 1Universität Konstanz, Fachbereich Physik, D-78457 Konstanz — 2School of Engineering & Physical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, UK
Theoretical predictions of the presence of quantum entanglement in solid-state devices commonly make use of Bell-type inequalities formulated in terms of currents and current-current cross correlators. We demonstrate [1] that no such Bell-test can be performed at finite temperatures in the vast majority of setups proposed previously for entanglement generation. This fundamental difficulty originates in a finite probability of quasiparticle emission from Fermi sea detectors. The feedback problem can be overcome by a resonant coupling of the detectors and an additional detector cooling. Application of this simple improvement to a generic beam splitter setup constitutes a device that can be used to determine the critical temperature for the entanglement produced in the absence of fermionic interactions.
In the future we will try to access the temperature dependent entanglement generation of an electronic beam splitter by investigating its full counting statistics.
[1] W.-R. Hannes and M. Titov, Preprint arXiv:0710.0348v1