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arXiv · 1503.07446

Two-electron coherence and its measurement in electron quantum optics

E. Thibierge·D. Ferraro·B. Roussel·C. Cabart·A. Marguerite·G. Fève·P. Degiovanni
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Abstract

Engineering and studying few-electron states in ballistic conductors is a key step towards understanding entanglement in quantum electronic systems. In this Letter, we introduce the intrinsic two-electron coherence of an electronic source in quantum Hall edge channels and relate it to two-electron wavefunctions and to current noise in an Hanbury Brown--Twiss interferometer. Inspired by the analogy with photon quantum optics, we propose to measure the intrinsic two-electron coherence of a source using low-frequency current correlation measurements at the output of a Franson interferometer. To illustrate this protocol, we discuss how it can distinguish between a time-bin entangled pure state and a statistical mixture of time shifted electron pairs.

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E. Thibierge, D. Ferraro, B. Roussel, C. Cabart, A. Marguerite, G. Fève, P. Degiovanni. 2015-03-25. Two-electron coherence and its measurement in electron quantum optics. https://doi.org/10.1103/physrevb.93.081302

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