Nonlinear Quantum Shock Waves in Fractional Quantum Hall Edge States
Nonlinear Quantum Shock Waves in Fractional Quantum Hall Edge States
Using the Calogero model as an example, we show that the transport in interacting nondissipative electronic systems is essentially nonlinear and unstable. Nonlinear effects are due to the curvature of the electronic spectrum near the Fermi energy. As is typical for nonlinear systems, a propagating semiclassical wave packet develops a …