Finite size effects on the collective oscillations of a trapped Bose gas

Details Finite size effects on the collective oscillations of a trapped Bose gas Finite size effects on the collective oscillations of a trapped Bose gas

2001-07-23

arxiv.org/abs/cond-mat/0107464v1

Physics

Condensed Matter

10 pages

Scientific paper

Sum rules are used to calculate the corrections to the hydrodynamic collective frequencies of a harmonically trapped Bose gas at T=0, due to finite size effects. We show that, with logarithmic accuracy, the relative corrections behave like $(a_{ho}/R)^4\log(R/a_{ho})$, where $R$ is the Thomas-Fermi radius of the condensate and $a_{ho}$ is the oscillator length. Results are given for both spherical and axi-symmetric trapping.

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