Structure of vortices in rotating Bose-Einstein condensates
Gentaro Watanabe, S. Andrew Gifford, Gordon Baym, C. J. Pethick
TL;DR
This paper models the detailed structure of vortices in rotating Bose-Einstein condensates using a Wigner-Seitz approximation, deriving key properties like energy and core area.
Contribution
It introduces a novel approach to analyze vortex structures in BECs by applying a Wigner-Seitz approximation within the Gross-Pitaevskii framework.
Findings
Calculated vortex core properties and energies
Derived the Abrikosov parameter for BEC vortices
Analyzed effects of density variations on vortex structure
Abstract
We calculate the structure of individual vortices in rotating Bose-Einstein condensates in a transverse harmonic trap. Making a Wigner-Seitz approximation for the unit cell of the vortex lattice, we derive the Gross-Pitaevskii equation for the condensate wave function in each cell of the lattice, including effects of varying coarse grained density. We calculate the Abrikosov parameter, the fractional core area, and the energy of individual cells.
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