Relaxation and revival of quasiparticles injected in an interacting quantum Hall liquid

R. Rodriguez (1) , F. Parmentier (2) , D. Ferraro (3, 4) , P. Roulleau (1) , U. Gennser (5) , A. Cavanna (5) , M. Sassetti (3, 4) , F. Portier (1) , D. Mailly (5) , Patrice Roche (1)

1 GNE - Groupe Nano-Electronique
2 SPEC - UMR3680 - Service de physique de l'état condensé
3 UniGe - Università degli studi di Genova = University of Genoa
4 CNR-SPIN and Department of Physics “E. Pancini
5 C2N - Centre de Nanosciences et de Nanotechnologies

The one-dimensional, chiral edge channels of the quantum Hall effect are a promising platform in which to implement electron quantum optics experiments; however, Coulomb interactions between edge channels are a major source of decoherence and energy relaxation. It is therefore of large interest to understand the range and limitations of the simple quantum electron optics picture. Here we confirm experimentally for the first time the predicted relaxation and revival of electrons injected at finite energy into an edge channel. The observed decay of the injected electrons is reproduced theoretically within a Tomonaga-Luttinger liquid framework, including an important dissipation towards external degrees of freedom. This gives us a quantitative empirical understanding of the strength of the interaction and the dissipation.

Domaines: Matière Condensée [cond-mat]

R. Rodriguez, F. Parmentier, D. Ferraro, P. Roulleau, U. Gennser, et al.. Relaxation and revival of quasiparticles injected in an interacting quantum Hall liquid. Nature Communications, 2020, 11 (1), ⟨10.1038/s41467-020-16331-4⟩. ⟨hal-03045744⟩