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Ground-state properties of trapped Bose-Einstein condensates: Extension of the Thomas-Fermi approximation

A. Muñoz Mateo·V. Delgado
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Abstract

We derive general approximate formulas that provide with remarkable accuracy the ground-state properties of any mean-field scalar Bose-Einstein condensate with short-range repulsive interatomic interactions, confined in arbitrary cylindrically symmetric harmonic traps. Our formulation is even applicable for condensates containing a multiply quantized axisymmetric vortex. We have checked the validity of our formulas by numerically solving the 3D Gross-Pitaevskii equation.

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A. Muñoz Mateo, V. Delgado. 2007-06-12. Ground-state properties of trapped Bose-Einstein condensates: Extension of the Thomas-Fermi approximation. https://doi.org/10.1103/physreva.75.063610

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