Validity of Gross–Pitaevskii solutions of harmonically confined BEC gases in reduced dimensions

  title={Validity of Gross–Pitaevskii solutions of harmonically confined BEC gases in reduced dimensions},
  author={Roberto Zamora-Zamora and G. A. Dom'inguez-Castro and Carlos Trallero-Giner and R. Paredes and V'ictor Romero-Roch'in},
  journal={Journal of Physics Communications},
By exact numerical solutions of the Gross-Pitaevskii (GP) equation in 3D, we assess the validity of 1D and 2D approximations in the study of Bose-Einstein condensates confined in harmonic trap potentials. Typically, these approximations are performed when one or more of the harmonic frequencies are much greater than the remaining ones, using arguments based on the adiabatic evolution of the initial approximated state. Deviations from the 3D solution are evaluated as a function of both the… Expand
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