Vojkan Jaksic
Department of Mathematics
McGill University

FERMI GOLDEN RULE FOR OPEN QUANTUM SYSTEM

The Fermi Golden Rule computations play an important role in quantum field theory and quantum statistical mechanics. In this minicourse I will discuss how these computations can be made rigorous for a class of open quantum systems. This class includes Pauli-Fierz systems, which arise as an approximation to non-relativistic QED, and which have been subject of many studies in the recent literature.

I plan to discuss the following topics:

Bibliography
    This minicourse is primarily based on the recent joint work with Jan Derezinski (in preparation). The additional references are:
  1. Davies E.B.: Markovian master equations. Commun. Math. Phys. 39, 91 (1974).
  2. Gorini V., Frigerio A., Veri M., Kossakowski A., Sudarshan E.C.G.: Properties of quantum markovian master equations. Rep. Math. Phys. 13, 149 (1978).
  3. Lebowitz J., Spohn H.: Irreversible thermodynamics for quantum systems weakly coupled to thermal reservoirs. Adv. Chem. Phys. 39, 109 (1978).
  4. Derezinski J., Jaksic V.: Spectral theory of Pauli-Fierz operators. J. Func. Anal. 180, 241 (2000).
  5. Jaksic V., Pillet C.-A.: Mathematical theory of non-equilibrium quantum statistical mechanics. J. Stat. Phys. 108, 787 (2002).
  6. Derezinski J., Jaksic V.: Return to equilibrium for Pauli-Fierz systems, to appear in Ann. Henri Poincare, mp-arc 03-242.