Problems for class: Physics in the Lowest Landau Level
I. Static atomic gases in two dimensions
- Ideal gas
BEC in reduced dimensionality
- The role
of interactions
-
Mean-field approach
- The
Berezinskii-Kosterlitz-Thouless mechanism
-
Experimental investigations
II. Rotating gases in two dimensions
- Vortex
nucleation in a rotating frame
- The
emergence of Landau levels
- Abrikosov
vortex lattices
-
Simulating rotations with geometric phases
- Towards
FQHE (in connection with Mike Gunn's lectures)