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

Lookup NU author(s): Professor Nikolaos ProukakisORCiD

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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.

Publication metadata

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

Publication type: Article

Publication status: Published

Journal: Physical Review A: Atomic, Molecular and Optical Physics

Year: 1998

Volume: 58

Issue: 3

Pages: 2435-2445

Print publication date: 01/09/1998

ISSN (print): 1050-2947

ISSN (electronic): 1094-1622

Publisher: American Physical Society

URL: http://dx.doi.org/10.1103/PhysRevA.58.2435

DOI: 10.1103/PhysRevA.58.2435

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