Comparison of gapless mean field theories for trapped Bose-Einstein condensates (1998)

Author(s): Proukakis NP, Morgan SA, Choi S, Burnett K

    Abstract: We present two gapless mean-field theories for trapped Bose-Einstein condensates, and compare them to the better known Hartree-Fock-Bogoliubov (HFB)-Popov approach. The proposed theories are based on suitable inclusion of the simplest anomalous average of the Bose field operator. This leads to an effective interaction between two atoms which is both temperature and density dependent, as opposed to the HFB-Popov approach, for which it is constant. These theories are compared to the HFB-Popov approach for a trapped one-dimensional condensate of 2000 atoms. The density profiles and excitation frequencies of the proposed theories differ from the corresponding HFB-Popov ones by at most a few percent.

      • Date: 01-09-1998
      • Journal: Physical Review A: Atomic, Molecular and Optical Physics
      • Volume: 58
      • Issue: 3
      • Pages: 2435-2445
      • Publisher: American Physical Society
      • Publication type: Article
      • Bibliographic status: Published

      Professor Nikolaos Proukakis
      Professor of Quantum Physics