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Course:
Statistical Physics of Cold Atoms
by Andrea Trombettoni
This course provides an introduction to the area of phenomena emerging from cold atom physics.
Main topics
I PART:
- Condensation for an ideal gas of bosons
- Effects of the interaction: Bogoliubov theory of the weakly interacting
Bose gas
- Condensate dynamics at T=0: collective oscillations
- BEC in a double well potential: Josephson oscillations, analogy with
superconducting Josephson juntions
- BEC in optical lattices
- BEC in a rotating container: superfluidity, vortices, analogy with the
superfluid Helium
- Equilibrium properties of bosons in periodic potentials: Bose-Hubbard
model
- Kosterlitz-Thouless transition in 2D
- Ultracold fermions: results for the non-interacting limit
- BCS theory for attractively interacting Fermi gases
II PART
- Introduction to superconductors: basic phenomena
- Electrodynamics of superconductors: London equations, type-II
superconductors
- Ginzburg-Landau theory
- BCS-BEC crossover for dilute fermions
- Fermions in optical lattices: Hubbard models
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