Ultracold Atomic Quantum Gases
Lecture
Thomas Gasenzer & Markus OberthalerWednesday, 09:1511:00, INF 227 SR 1.403 Süd, & Friday, 15:1517:00, SR Pw 19 [LSF]
Content of the theory part:
 Ideal gases: BoseEinstein & FermiDirac, uniform & trapped

Introduction to alkali atoms and their interactions at low energies
 Atomic structure  BornOppenheimer potentials  Lowenergy scattering theory  Manybody Hamiltonian, energy functional & stationary ground state 
Manybody theory of a BEC
 GrossPitaevskii equation  Hydrodynamic interpretation  Elementary & collective excitations  Fock space formulation  HartreeFockBogoliubov theory  Finite temperature  Quantum effects (damping, ...) 
Lowdimensional gases
 1D Bose gas: interaction parameter,  LiebLiniger, TonksGirardeau  2D Bose gas: interactions  KT transition 
Lattices
 Bloch wave functions, Wannier basis, BoseHubbard  Mott insulator (perturbation theory)  Meanfield theory  (Gutzwiller, DMRG, ...) 
Coherence
 Twomode model  phase and number distributions  number states vs. coherent states  1st vs. 2nd order coherence  Squeezing 
Strongly interacting systems
 Interactions with the radiation field, (Bragg diffraction)  Scattering resonances (Feshbach, Photoassociation) ( Dynamical HFB) ( A glimpse on theory for strong interactions) 
Degenerate Fermigases
 Interactions  Meanfield theory, ground state, excitations, finite temperature  Pairing  BECBCS
Prerequisites:
 Quantum Mechanics (Theoretical Physics III), Statistical Mechanics (Theor. Phys. IV) would be helpful
Literature:
 K. Huang, "Statistical Mechanics", Wiley (1987).
 C.J. Pethick and H. Smith, "BoseEinstein condensation in Dilute Gases, CUP, Cambridge (2002).

A. Leggett, "BoseEinstein 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, "BoseEinstein condensation", Clarendon Press, Oxford (2003).

F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, "Theory of BoseEinstein condensation in trapped gases", Review of Modern Physics 71, 463 (1999).
(Full text as pdf available through UB proxy server).