New trends in Bose-Einstein condensation

course held at ETH Zürich

winter semester 2008-09

• lecture 1: The BEC transition in a homogeneous gas
  
  
• lecture 2: The BEC transition in a harmonically trapped gas
  
  
• lecture 3: Mean-field theory of the BEC. Static properties. Addenda.
  
  
• lecture 4: Mean-field theory of the BEC. Dynamics.
  
  
• lecture 5: The phase of a condensate.
  
  
• lecture 6: Bogoliubov theory of low-temperature, dilute Bose gases. Addenda.
  
  
• lecture 7: Response of a BEC to weak perturbations. Superfluidity properties. Addenda.
  
  
• lecture 8: An excursions into the world of strong interactions: Tonks-Girardeau gas.
  
  
• lecture 9 (part a) and (part b): Non-equilibrium Bose-Einstein condensation and lasing.
  

• exercise 1: Coherence properties of a continuous atom laser. Solution.
  
  
• exercise 2: Numerical study of the BEC transition in a non-interacting gas. Solution graphs 1 and 2.
  
  
• exercise 3: Adiabatic, reversible formation of a BEC. Solution. Graph.
  
  
• exercise 4: Bose condensates with attractive interactions.
  
  
• exercise 5: (Not so) quantum ducks. Solution.
  
  
• exercise 6: Hydrodynamics of BECs: collective modes and expansion.
  
  
• exercise 7: Collapse and revival of the condensate phase. Sketchy solution.
  
  
• exercise 8: The ground state of a BEC. Sketchy solution.
  
  
• exercise 9: Modulation spectroscopy of a BEC
  
  
• exercise 10: The superfluid to Mott insulator transition. Sketchy solution.
  
  
• exercise 11: The Goldstone mode of non-equilibrium BECs