Analysis beyond the Thomas-Fermi approximation of the density profiles of a miscible two-component Bose-Einstein condensate

Polo, J.; Ahufinger, V.; Mason, P.; Sridhar, S.; Billam, T.P.; Gardiner, S.A.

Abstract

We investigate a harmonically trapped two-component Bose-Einstein condensate within the miscible regime, close to its boundaries, for different ratios of effective intra- and interspecies interactions. We derive analytically a universal equation for the density around the different boundaries in one, two, and three dimensions, for both the coexisting and spatially separated regimes. We also present a general procedure to solve the Thomas-Fermi approximation in all three spatial dimensionalities, reducing the complexity of the Thomas-Fermi problem for the spatially separated case in one and three dimensions to a single numerical inversion. Finally, we analytically determine the frontier between the two different regimes of the system.

Citation

Polo, J., Ahufinger, V., Mason, P., Sridhar, S., Billam, T., & Gardiner, S. (2015). Analysis beyond the Thomas-Fermi approximation of the density profiles of a miscible two-component Bose-Einstein condensate. Physical Review A, 91(5), Article 053626. https://doi.org/10.1103/physreva.91.053626

• Journal Article Type: Article
• Acceptance Date: Apr 30, 2015
• Publication Date: May 27, 2015
• Deposit Date: May 31, 2015
• Publicly Available Date: Jun 30, 2015
• Journal: Physical Review A
• Print ISSN: 1050-2947
• Electronic ISSN: 1094-1622
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 91
• Issue: 5
• Article Number: 053626
• DOI: https://doi.org/10.1103/physreva.91.053626
• Related Public URLs: http://arxiv.org/abs/1502.05940