Statistical Physics of Cold Atoms

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Double Well


This course provides an introduction to the area of phenomena emerging from cold atom physics.

Main Topics

Part A

  • Condensation for an ideal gas of bosons
  • Effects of the interaction: Bogoliubov theory of the Bose gas, shift of the critical temperature
  • Condensate dynamics at T=0: collective oscillations
  • Two-component BECs
  • BEC in optical lattices
  • BEC in a rotating container: superfluidity, vortices, analogy with the superfluid Helium
  • BEC in a double well potential: Josephson oscillations, analogy with superconducting Josephson juntions
  • Equilibrium properties of bosons in periodic potentials: quantum phase transitions – Kosterlitz-Thouless transitions
  • Equilibrium properties of fermions in periodic potentials: analogy with the Hubbard model

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