Order Parameter at the Boundary of a Trapped Bose Gas

Details Order Parameter at the Boundary of a Trapped Bose Gas Order Parameter at the Boundary of a Trapped Bose Gas

1996-04-11

arxiv.org/abs/cond-mat/9604069v1

Phys. Rev. A 54 (1996) 4213

Physics

Condensed Matter

11 pages, REVTEX, 4 figures (uuencoded-gzipped-tar file) also available at http://anubis.science.unitn.it/~dalfovo/papers/pape

Scientific paper

10.1103/PhysRevA.54.4213

Through a suitable expansion of the Gross-Pitaevskii equation near the classical turning point, we obtain an explicit solution for the order parameter at the boundary of a trapped Bose gas interacting with repulsive forces. The kinetic energy of the system, in terms of the classical radius $R$ and of the harmonic oscillator length $a_{_{HO}}$, follows the law $E_{kin}/N \propto R^{-2} [\log (R/a_{_{HO}}) + \hbox{const.}]$, approaching, for large $R$, the results obtained by solving numerically the Gross-Pitaevskii equation. The occurrence of a Josephson-type current in the presence of a double trap potential is finally discussed.

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