Non-Linear hydrodynamics and Fractionally Quantized Solitons at Fractional Quantum Hall Edge

Understand

We argue that dynamics of gapless Fractional Quantum Hall Edge states is essentially non-linear and that it features fractionally quantized solitons propagating along the edge.

• Observation of solitons would be a direct evidence of fractional charges.
• We show that the non-linear dynamics of the Laughlin's FQH state is governed by the quantum Benjamin-Ono equation.
• Non-linear dynamics of gapless edge states is determined by gapped modes in the bulk of FQH liquid.