Vortices in Atomic Bose-Einstein Condensates in the Large Gas Parameter   Region
  In this work we compare the results of the Gross-Pitaevskii and modified Gross-Pitaevskii equations with ab initio variational Monte Carlo calculations for Bose-Einstein condensates of atoms in axially symmetric traps. We examine both the ground state and excited states having a vortex line along the z-axis at high values of the gas parameter and demonstrate an excellent agreement between the modified Gross-Pitaevskii and ab initio Monte Carlo methods, both for the ground and vortex states. 
J.K. Nilsen (Oslo), J. Mur-Petit (Barcelona), M. Guilleumas   (Barcelona), M. Hjorth-Jensen (Oslo), and A. Polls (Barcelona)