A lecture course on ultracold quantum gases by Dmitry Petrov and Gora Shlyapnikov

A lecture course on ultracold quantum gases by 

Dmitry Petrov and Gora Shlyapnikov,
Laboratoire de Physique Théorique et Modéles Statistiques, Univ. Paris-Sud, Orsay, France

at UPC, Campus Nord, edifici B4 on June 10,12,13 and June 17,18,19 at 11:00 

PROGRAM

Dmitry Petrov 
Lecture 1 "Scattering theory"
- Interatomic forces. Van der Waals potential. Length and energy scales
- Ultracold scattering. Scattering amplitude, length and volume
- Resonant scattering. Width of the resonance
- Short-range pseudopotentials

Lecture 2 "Three-body problem"
- Born-Oppenheimer approximation
- Efimov effect
- Three-body problem near a narrow resonance
- Few-body problem in a lattice, exotic trimer states
- Exact (not Born-Oppenheimer) approach to three-body problem

Lecture 3 "Weakly bound dimers"
- 4-body problem. Born-Oppenheimer and exact treatment
- Hybrid Born-Oppenheimer technique. Formation of trimers

 Gora Shlyapnikov 
Lecture 1 "Strongly interacting Fermi gases"
-Strongly interacting regime. Unitarity limit.
-Universal thermodynamics
-Experiments with two-species Fermi gases. Monte Carlo studies.
-Strongly interacting regime in Fermi mixtures. What changes on the BEC and on the BCS sides of the resonance?

Lecture 2 "Dipolar quantum gases. Bosonic dipoles"
-Dipolar systems to be studied. Dilute regime. Scattering problem
-Dipolar Bose-Einstein condensate. Dynamical instability
-Trapped dipolar BEC. Gross-Pitaevskii equation. Stability diagram.
-2D and 1D dipolar BEC. Roton-maxon spectrum and instability
-Can one obtain a supersolid state in free space?

Lecture 3 "Dipolar quantum gases. Fermionic dipoles"
-BCS limit. Superfluid transition in a single-component dipolar Fermi gas
-Collective and single-particle exzcitations
-2D dipolar Fermi gas. Superfluid-non-superfluid quantum transition
-1D dipolar Fermi gas. Quantum Kosterlitz-Thouless transition