Bose-Einstein condensates in atomic gases: simple theoretical results

Details Bose-Einstein condensates in atomic gases: simple theoretical results Bose-Einstein condensates in atomic gases: simple theoretical results

2001-05-03

arxiv.org/abs/cond-mat/0105058v1

Y. Castin, in 'Coherent atomic matter waves', Lecture Notes of Les Houches Summer School, p.1-136, edited by R. Kaiser, C. Wes

Physics

Condensed Matter

146 pages, 17 figures, Lecture Notes of Les Houches Summer School 1999

Scientific paper

These notes present simple theoretical approaches to study Bose-Einstein condensation in trapped atomic gases and their comparison to recent experimental results : - the ideal Bose gas model - Fermi pseudopotential to model the atomic interaction potential - finite temperature Hartree-Fock approximation - Gross-Pitaevskii equation for the condensate wavefunction - what we learn from a linearization of the Gross-Pitaevskii equation - Bogoliubov approach and thermodynamical stability - phase coherence properties of Bose-Einstein condensates - symmetry breaking description of condensates

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