English

Finite temperature theory of the trapped two dimensional Bose gas

Statistical Mechanics 2016-08-31 v2

Abstract

We present a Hartree-Fock-Bogoliubov (HFB) theoretical treatment of the two-dimensional trapped Bose gas and indicate how semiclassical approximations to this and other formalisms have lead to confusion. We numerically obtain results for the fully quantum mechanical HFB theory within the Popov approximation and show that the presence of the trap stabilizes the condensate against long wavelength fluctuations. These results are used to show where phase fluctuations lead to the formation of a quasicondensate.

Keywords

Cite

@article{arxiv.cond-mat/0308177,
  title  = {Finite temperature theory of the trapped two dimensional Bose gas},
  author = {Christopher Gies and Brandon van Zyl and S. A. Morgan and D. A. W. Hutchinson},
  journal= {arXiv preprint arXiv:cond-mat/0308177},
  year   = {2016}
}

Comments

4 pages, 3 figures