Two-electron coherence and its measurement in electron quantum optics

Abstract : Engineering and studying few-electron states in ballistic conductors is a key step towards understanding entanglement in quantum electronic systems. In this Rapid Communication, we introduce the intrinsic two-electron coherence of an electronic source in quantum Hall edge channels and relate it to two-electron wave functions and to current noise in a 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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https://hal.sorbonne-universite.fr/hal-01286162
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Submitted on : Thursday, March 10, 2016 - 1:37:13 PM
Last modification on : Tuesday, May 14, 2019 - 10:41:13 AM

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É. Thibierge, D. Ferraro, B. Roussel, C. Cabart, A. Marguerite, et al.. Two-electron coherence and its measurement in electron quantum optics. Physical Review B : Condensed matter and materials physics, American Physical Society, 2016, 93 (8), pp.081302. ⟨10.1103/PhysRevB.93.081302⟩. ⟨hal-01286162⟩

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