Properties of Trapped Bose gas with vortices in large-gas-parameter regime

We study the properties of the vortex state of a trapped Bose gas in the large-gas-parameter regime. To test validity of the Gross-Pitaevskii theory in this regime for the vortex states we compare the results of the Gross-Pitaevskii and the modified Gross-Pitaevskii calculations for the total energy, the chemical potential, the density profile and the frequency shift of the quadrupole modes of the collective oscillations of the condensate. We find that in the large-gas-parameter regime two calculations give substantially different results for all the properties mentioned above