Hydrodynamic instabilities in quantum liquids (cours 1/3)
Univ. of Chicago
Fri, Sep. 12th 2008, 10:15
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
In this series of three lectures I will discuss nonlinear quantum hydrodynamics in quantum electronic liquids. I will concentrate on three of the most important systems: \\ - Degenerate Fermi gas in one spatial dimension, \\ - Edge state in the Fractional Quantum Hall Effect, \\ - Luttinger Liquid. \\ \par I will discuss: \\ - why Fermi statistics causes nonequilibrium quantum liquids to be essentially nonlinear, \\ - instabilities and singularities arising as a result of nonlinear nature of quantum liquids, \\ - mathematical methods for analysis of singularities in dynamics of quantum liquids, \\ - relation to random matrix theory and to perturbed conformal field theory.