Ground-state properties of trapped Bose-Einstein condensates: Extension of the Thomas-Fermi approximation
A. Mu\~noz Mateo, V. Delgado (Univ. La Laguna)
TL;DR
This paper develops accurate approximate formulas for the ground-state properties of scalar Bose-Einstein condensates in cylindrically symmetric traps, including vortex states, validated against numerical solutions of the Gross-Pitaevskii equation.
Contribution
It extends the Thomas-Fermi approximation to provide highly accurate formulas applicable to vortex-containing condensates in arbitrary cylindrically symmetric traps.
Findings
Formulas match numerical solutions with high accuracy
Applicable to condensates with multiply quantized vortices
Valid for arbitrary cylindrically symmetric harmonic traps
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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