Syllabus

Atomic gases, Collisions and trapping, Interaction with the radiation filed and optical traps, Light forces on atoms, Doppler and sub-Doppler cooling, Magneto-Optical Trap, evaporate cooling, Optical Lattices, Ion traps , experiments on cold atoms. The Ideal Bose gas, Weakly-interacting Bose gas, Ground state energy and equation of state, Particles and elementary excitations. Nonuniform Bose gases at zero temperature, Gross-Pitaevskii equation , Thomas-Fermi limit, solitons, quantization and elementary excitations. The ideal Bose gas in the harmonic trap, condensate fraction and critical temperature, density and momentum distribution, Ground state of a trapped condensate, Dynamics of a trapped condensate, Bose-Einstein condensate in optical lattices