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

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

2001-05-17

arxiv.org/abs/cond-mat/0105339v2

Phys. Lett. A 293, No 5-6, 287 (2002).

Physics

Condensed Matter

Statistical Mechanics

5 pages, REVTeX, 1 figure inserted

Scientific paper

10.1016/S0375-9601(02)00017-8

The kinetic and interaction energies of a three-dimensional dilute ground-state Bose gas confined in a trap are calculated beyond a mean-field treatment. They are found to depend on the pairwise interaction trough two characteristic lengths: the first, a, is the well-known scattering length and the second, b, is related to the latter by b=a-\lambda d a/d\lambda with \lambda being the coupling constant. Numerical estimations show that the pairwise interaction energy of a dilute gas of alkali atoms in a trap is negative (in spite of the positive scattering length); its absolute value is found by about the order of magnitude larger than that of the mean-field interaction energy that corresponds to the last term in the Gross-Pitaevskii functional.

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