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

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arxiv 1903.05919 v4 pith:DPTNT3QB submitted 2019-03-14 cond-mat.mes-hall

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

classification cond-mat.mes-hall
keywords quantumedgeinjectedrelaxationchannelsdissipationelectronelectrons
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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