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.

doi:10.1103/physreva.91.053626

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.

Authors

J. Polo

V. Ahufinger

P. Mason

S. Sridhar

T.P. Billam

Professor Simon Gardiner s.a.gardiner@durham.ac.uk
Professor

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

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