The kinetic and interaction energies of a trapped Bose gas: Beyond the mean field

Preprint
Publisher Website
Google Scholar
Abstract
The kinetic and interaction energies of a three-dimensional (3D) dilute ground-state Bose gas confined in a trap are calculated beyond any mean-field arguments. They are found to depend on the form of the pairwise interaction potential. This is expressed in appearance of a new positive characteristic length b, additional to the well-known scattering length a and related to the latter by b=a-\lambda d a/d\lambda with \lambda being the coupling constant. Numerical estimations for alkali-atom gases are given. We predict that the pairwise interaction energy of trapped alkali-atoms is negative (in spite of the positive scattering length) and its absolute value is much larger than that of the third term of the Gross-Pitaevskii functional.

This publication has 0 references indexed in Scilit: