Oscillation Frequencies for a Bose Condensate in a Triaxial Magnetic Trap

TL;DR

This paper numerically investigates the collective excitation frequencies of a Bose condensate in a triaxial magnetic trap, comparing results from the Gross-Pitaevskii equation with variational calculations.

Contribution

It provides a detailed numerical analysis of oscillation frequencies for Bose condensates in anisotropic traps, validating results with variational methods.

Findings

Good agreement between numerical and variational frequencies

Analysis for both repulsive and attractive interactions

Enhanced understanding of condensate dynamics in anisotropic traps

Abstract

We investigate the dynamics of a Bose condensate, interacting with either repulsive or attractive forces, confined in a fully anisotropic harmonic potential. The (3+1)-dimensional Gross-Pitaevskii equation is integrated numerically to derive the collective excitation frequencies, showing a good agreement with those calculated with a variational technique.