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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.

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


Authors

J. Polo

V. Ahufinger

P. Mason

S. Sridhar

T.P. Billam



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
Public URL https://durham-repository.worktribe.com/output/1436949
Related Public URLs http://arxiv.org/abs/1502.05940

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Copyright Statement
Reprinted with permission from the American Physical Society: Physical Review A 91, 053626 © 2015 by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.






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