Properties of Trapped Bose gas with vortices in large-gas-parameter regime
Arup Banerjee, Manoranjan P. Singh
TL;DR
This paper investigates the properties of vortex states in a trapped Bose gas within the large-gas-parameter regime, comparing standard and modified Gross-Pitaevskii theories to assess their validity.
Contribution
It provides a comparative analysis of Gross-Pitaevskii and modified Gross-Pitaevskii theories for vortex states in large-gas-parameter regimes, highlighting their differences.
Findings
Significant discrepancies between the two theories for energy and density profiles.
Gross-Pitaevskii theory's limitations in large-gas-parameter regimes.
Modified theory shows different predictions for collective mode frequencies.
Abstract
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
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