Dresden 2017 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 76: Poster Session: Transport 2

TT 76.26: Poster

Thursday, March 23, 2017, 15:00–19:00, P2-OG1

Zero-Temperature Bell Test in a Driven Mesoscopic Contact — •hongxin zhan¹, mihajlo vanevic², and wolfgang belzig¹ — ¹Fachbereich Physik, Universität Konstanz, D-78457 Konstanz, Germany — ²Department of Physics, University of Belgrade, 11158 Belgrade, Serbia

The standard Clauser-Horne-Shimony-Holt (CHSH) inequality [1] is known to fail in mesoscopic junctions at finite temperature [2]. Since this is due to the bidirectional particle flow, a similar failure is expected for an ac-driven junction. We develop a generalized Bell test which is suitable for ac driven system. Similar to the standard CHSH inequality, our Bell inequality cannot be violated when the detection time or the conductance are sufficiently large. Differently, our inequality cannot be violated for ac-driven system when the probability [3] of creating one or more electron-hole pairs is large. To determine the optimal ac bias for Bell test, we develop a quantitative criterion - similar to the Fano factor - for the probability of the creation of electron-hole pairs.

[1] N. M. Chtchelkatchev, G. Blatter, G. B. Lesovik, T. Martin, Phys. Rev. B 66, 161320(2002).

[2] W. R. Hannes, M. Titov, Phys. Rev. B 77, 115323(2008).

[3] M. Vanevic, Y. V. Nazarov, W. Belzig, Phys. Rev. Lett 99, 076601(2007); Phys. Rev. B 78, 245308(2008).