Hydrodynamic instabilities in quantum liquids

Paul Wiegmann (Chicago U.)

2008-09-12 10:15, Salle Itzykson, IPhT
2008-09-26 10:15, Salle Itzykson, IPhT
2008-10-07 14:30, Salle Itzykson, IPhT

In this series of three lectures I will discuss non-linear 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.

I will discuss

  • why Fermi statistics causes non-equilibrium quantum liquids to be essentially non-linear,
  • instabilities and singularities arising as results of the non-linear nature of quantum liquids,
  • mathematical methods for the analysis of singularities in the dynamics of quantum liquids,
  • relations to random matrix theory and to perturbed conformal field theory.
IPhT Courses
Short course title: 
Hydrodynamic instabilities
Arxiv classes: