Orbital Variational Adiabatic Hyperspherical Method Applied to Bose-Einstein Condensates

Abstract

A variational basis set motivated by mean-field theory is utilized to describe the Bose-Einstein condensate within the adiabatic hyperspherical coordinate framework. The simplest single-orbital variant of this treatment reproduces many of the ground state properties predicted by the Gross-Pitaevskii equation. But a multi-orbital improvement to the basis set yields a better representation of particle correlations and of the critical number where the condensate collapses for a negative two-body scattering length. The method also produces systematic deviations from Bogoliubov theory for the fundamental monopole excitation frequency.

References in corpus (3)

• Many-Body Physics with Ultracold Gases
• Hyperspherical Description of the Degenerate Fermi Gas: S-wave Interactions
• Bose atoms in a trap: a variational Monte Carlo formulation for the universal behavior at the Van der Waals length scale

Cited by in corpus (1)

• Hyperspherical approach to dipolar Bose-Einstein condensates beyond the mean-field limit