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

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

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16 Citations (Scopus)

Abstract

© 2015 American Physical Society. 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.
Original languageEnglish
Article number053626
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume91
DOIs
Publication statusPublished - 27 May 2015

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