Crystallization of Levitons in the fractional quantum Hall regime.

Ronetti F., Vannucci L., Ferraro D., Rech J., Jonckheere T., Martin T., Sassetti M.

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The emergence of self-organized regular patterns in optical solitons has been recently subject to intense investigation. In the framework of electron quantum optics, a train of Lorentzian voltage pulses emerges as the solid state counter-part of optical solitons, namely robust ballistically propagating wave-packets carrying an integer number q of electrons called Levitons. Using a periodic train of Levitons, we investigate the charge density backscattered off a quantum point contact in the fractional quantum Hall regime, finding a self-organized pattern of peaks and valleys. We demonstrate that the predicted features manifest themselves as unexpected additional dips in the well-studied Hong-Ou-Mandel noise.

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