Electron quantum optics in ballistic chiral conductors

Authors

  • Erwann Bocquillon,

    1. Laboratoire Pierre Aigrain, Ecole Normale Supérieure, CNRS (UMR 8551), Université Pierre et Marie Curie, Université Paris Diderot, Paris Cedex 05
    Current affiliation:
    1. Physikalisches Institut (EP3), University of Würzburg, Am Hubland, D-97074 Würzburg, Germany
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  • Vincent Freulon,

    1. Laboratoire Pierre Aigrain, Ecole Normale Supérieure, CNRS (UMR 8551), Université Pierre et Marie Curie, Université Paris Diderot, Paris Cedex 05
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  • François D. Parmentier,

    1. Laboratoire Pierre Aigrain, Ecole Normale Supérieure, CNRS (UMR 8551), Université Pierre et Marie Curie, Université Paris Diderot, Paris Cedex 05
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  • Jean-Marc Berroir,

    1. Laboratoire Pierre Aigrain, Ecole Normale Supérieure, CNRS (UMR 8551), Université Pierre et Marie Curie, Université Paris Diderot, Paris Cedex 05
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  • Bernard Plaçais,

    1. Laboratoire Pierre Aigrain, Ecole Normale Supérieure, CNRS (UMR 8551), Université Pierre et Marie Curie, Université Paris Diderot, Paris Cedex 05
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  • Claire Wahl,

    1. Aix Marseille Université, CNRS, CPT, UMR 7332, 13288 Marseille, France, Université de Toulon, CNRS, CPT, 83957 La Garde, France
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  • Jérome Rech,

    1. Aix Marseille Université, CNRS, CPT, UMR 7332, 13288 Marseille, France, Université de Toulon, CNRS, CPT, 83957 La Garde, France
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  • Thibaut Jonckheere,

    1. Aix Marseille Université, CNRS, CPT, UMR 7332, 13288 Marseille, France, Université de Toulon, CNRS, CPT, 83957 La Garde, France
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  • Thierry Martin,

    1. Aix Marseille Université, CNRS, CPT, UMR 7332, 13288 Marseille, France, Université de Toulon, CNRS, CPT, 83957 La Garde, France
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  • Charles Grenier,

    1. Université de Lyon, Fédération de Physique André Marie Ampère, CNRS - Laboratoire de Physique de l'Ecole Normale Supérieure de Lyon 46 Allée d'Italie, 69364 Lyon Cedex 07, France
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  • Dario Ferraro,

    1. Université de Lyon, Fédération de Physique André Marie Ampère, CNRS - Laboratoire de Physique de l'Ecole Normale Supérieure de Lyon 46 Allée d'Italie, 69364 Lyon Cedex 07, France
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  • Pascal Degiovanni,

    1. Université de Lyon, Fédération de Physique André Marie Ampère, CNRS - Laboratoire de Physique de l'Ecole Normale Supérieure de Lyon 46 Allée d'Italie, 69364 Lyon Cedex 07, France
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  • Gwendal Fève

    Corresponding author
    1. Laboratoire Pierre Aigrain, Ecole Normale Supérieure, CNRS (UMR 8551), Université Pierre et Marie Curie, Université Paris Diderot, Paris Cedex 05
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Abstract

The edge channels of the quantum Hall effect provide one dimensional chiral and ballistic wires along which electrons can be guided in an optics-like setup. Electronic propagation can then be analyzed using concepts and tools derived from optics. After a brief review of electron optics experiments performed using stationary current sources which continuously emit electrons in the conductor, this paper focuses on triggered sources, which can generate on-demand a single particle state. It first outlines the electron optics formalism and its analogies and differences with photon optics and then turns to the presentation of single electron emitters and their characterization through the measurements of the average electrical current and its correlations. This is followed by a discussion of electron quantum optics experiments in the Hanbury-Brown and Twiss geometry where two-particle interferences occur. Finally, Coulomb interactions effects and their influence on single electron states are considered.

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