Crystallization of Levitons in the fractional quantum Hall regime

TL;DR

This paper explores the crystallization of Levitons, soliton-like electronic excitations, in the fractional quantum Hall regime, revealing a pattern of charge density peaks and valleys confirmed by noise measurements, with implications for electron quantum optics.

Contribution

It demonstrates the formation of a crystallized pattern of Levitons in the fractional quantum Hall regime using Lorentzian voltage pulses, a novel observation in electron quantum optics.

Findings

Observation of regular charge density peaks and valleys

Confirmation of crystallization via Hong-Ou-Mandel noise dips

Potential for experimental detection in current electron quantum optics setups

Abstract

Using a periodic train of Lorentzian voltage pulses, which generates soliton-like electronic excitations called Levitons, we investigate the charge density backscattered off a quantum point contact in the fractional quantum Hall regime. We find a regular pattern of peaks and valleys, reminiscent of analogous self-organization recently observed for optical solitons in non-linear environments. This crystallization phenomenon is confirmed by additional side dips in the Hong-Ou-Mandel noise, a feature that can be observed in nowadays electron quantum optics experiments.