We study the weakly-interacting Bose gas in both two and three dimensions
using a variational approach. In particular we construct the thermodynamic
potential of the gas to within ladder approximation and find by minimization an
accurate mean-field description of the dilute Bose gas. Using spin-polarized
atomic hydrogen as a specific example, we obtain an improved description of the
Bose-Einstein condensed phase in three dimensions and a signature of a phase
transition in two dimensions. The latter cannot be found by straightforward
application of perturbation theory around the ideal Bose gas.
%0 Journal Article
%1 Bijlsma1995Variational
%A Bijlsma, M.
%A Stoof, H. T. C.
%D 1995
%K atomic\_gases, bose\_gas, cold\_atoms
%T Variational Approach to the Dilute Bose Gas
%U http://arxiv.org/abs/cond-mat/9507134
%X We study the weakly-interacting Bose gas in both two and three dimensions
using a variational approach. In particular we construct the thermodynamic
potential of the gas to within ladder approximation and find by minimization an
accurate mean-field description of the dilute Bose gas. Using spin-polarized
atomic hydrogen as a specific example, we obtain an improved description of the
Bose-Einstein condensed phase in three dimensions and a signature of a phase
transition in two dimensions. The latter cannot be found by straightforward
application of perturbation theory around the ideal Bose gas.
@article{Bijlsma1995Variational,
abstract = {We study the weakly-interacting Bose gas in both two and three dimensions
using a variational approach. In particular we construct the thermodynamic
potential of the gas to within ladder approximation and find by minimization an
accurate mean-field description of the dilute Bose gas. Using spin-polarized
atomic hydrogen as a specific example, we obtain an improved description of the
Bose-Einstein condensed phase in three dimensions and a signature of a phase
transition in two dimensions. The latter cannot be found by straightforward
application of perturbation theory around the ideal Bose gas.},
added-at = {2014-01-09T15:14:33.000+0100},
archiveprefix = {arXiv},
author = {Bijlsma, M. and Stoof, H. T. C.},
biburl = {https://www.bibsonomy.org/bibtex/2ccc635c7b0e2e439b906744d1acec20e/jaspervh},
citeulike-article-id = {10483345},
citeulike-linkout-0 = {http://arxiv.org/abs/cond-mat/9507134},
citeulike-linkout-1 = {http://arxiv.org/pdf/cond-mat/9507134},
day = 31,
eprint = {cond-mat/9507134},
interhash = {e69a23b1710230e5bafa07521edea3a5},
intrahash = {ccc635c7b0e2e439b906744d1acec20e},
keywords = {atomic\_gases, bose\_gas, cold\_atoms},
month = jul,
posted-at = {2012-03-21 14:31:10},
priority = {2},
timestamp = {2014-01-09T15:14:33.000+0100},
title = {Variational Approach to the Dilute Bose Gas},
url = {http://arxiv.org/abs/cond-mat/9507134},
year = 1995
}