Quantum many-body problem: selected topics

Olivier Parcollet (IPhT)

2009-11-20 10:00, Salle Itzykson, IPhT
2009-11-27 10:00, Salle Itzykson, IPhT
2009-12-04 10:00, Salle Itzykson, IPhT
2009-12-11 10:00, Salle Itzykson, IPhT
2009-12-18 10:00, Salle Itzykson, IPhT
Approved by the École Doctorale ED 107

The goal of this set of lectures is to provide an introduction to some current themes of research in quantum many-body theory in condensed matter physics. The lectures will be primarily aimed at a non-specialist audience and I will try to emphasize the main results and open questions, while minimizing the technical derivations.

The tentative plan is :

  1. Introduction to strongly correlated systems.
    • From Fermi liquids to Mott insulators.
    • Examples of Mott insulators in solid state and atomic physics.
    • Doping a Mott insulator : the example of high-temperature superconductors.
  2. Quantum impurity models in equilibrium.
    • Kondo and Anderson models. Kondo effect.
    • Methods of solutions of quantum impurity models.
    • Introduction to Dynamical Mean Field Theory and its applications.
  3. Quantum impurity models out-of-equilibrium.
    • Schwinger-Keldysh formalism.
    • Illustration on simple examples.
    • Wingreen-Meir formula. Kondo effect in quantum dots.
IPhT Courses
Short course title: 
Quantum many-body problem
Arxiv classes: