English

Bose-Einstein condensates in atomic gases: simple theoretical results

Condensed Matter 2022-03-23 v1

Abstract

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

Keywords

Cite

@article{arxiv.cond-mat/0105058,
  title  = {Bose-Einstein condensates in atomic gases: simple theoretical results},
  author = {Yvan Castin},
  journal= {arXiv preprint arXiv:cond-mat/0105058},
  year   = {2022}
}

Comments

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