Dynamics of cold atomic gases

Vorlesung

Thomas Gasenzer

Wednesday, 09:15-10:45, INF 227 SR 3.401, Start: 18 April 2007

Content:

Introduction (Atomic Bose-Einstein condensates and (degenerate) Fermi gases, experiments, observables)
Introduction to mean field theory (Gross-Pitaevskii dynamics, hydrodynamics, excitations near equilibrium)
Dynamics close to equilibrium beyond mean field (Boltzmann's kinetic theory, kinetic theory of Bose-Einstein condensates, Beliaev theory, Landau damping)
Quantum field theory far from equilibrium (Path integral approach, effective action, 2PI theory, perturbation theory and loop expansion, 1/N resummation)
Applications and phenomena (Equilibration, classical vs. quantum dynamics, classical simulations, dynamics near phase transitions)

Prerequisites:

Quantum Mechanics (Theoretical Physics III), Statistical Mechanics (Theor. Phys. IV)
Quantum field theory, Path integrals in Quantum Physics would be helpful for the second part of the lecture.

Literature:

K. Huang, "Statistical Mechanics", Wiley (1987).
C.J. Pethick and H. Smith, "Bose-Einstein condensation in Dilute Gases, CUP, Cambridge (2002).
A. Leggett, "Bose-Einstein condensation in the alkali gases: Some fundamental concepts", Review of Modern Physics 73, 307 (2001)
(Full text as pdf available through UB proxy server).
L.P. Pitaevskii and S. Stringari, "Bose-Einstein condensation", Clarendon Press, Oxford (2003).
F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, "Theory of Bose-Einstein condensation in trapped gases", Review of Modern Physics 71, 463 (1999).
(Full text as pdf available through UB proxy server).
J. Berges, "Introduction to Nonequilibrium Quantum Field Theory", e-print hep-ph/0409233; AIP Conf. Proc. No. 793 (AIP, New York, 2005), p. 3.
H. Kleinert, "Path Integrals in Quantum Mechanics, Statistics, Polymer Physics and Financial Markets", World Scientific Publishing Co., Singapore (2004).
G. Roepstorff, "Pfadintegrale in der Quantenphysik", Vieweg, Braunschweig (1990).