Variational Approach to the Dilute Bose Gas
Abstract
Description
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.
29 pages of ReVTeX and 13 uuencoded figures. Submitted to Physical Review B
29 pages of ReVTeX and 13 uuencoded figures. Submitted to Physical Review B