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arXiv · 1502.05940

Beyond Thomas--Fermi analysis of the density profiles of a miscible two-component Bose--Einstein condensate

J. Polo·P. Mason·S. Sridhar·T. P. Billam·V. Ahufinger·S. A. Gardiner
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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 inter-species 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.

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J. Polo, P. Mason, S. Sridhar, T. P. Billam, V. Ahufinger, S. A. Gardiner. 2015-02-20. Beyond Thomas--Fermi analysis of the density profiles of a miscible two-component Bose--Einstein condensate. https://doi.org/10.1103/physreva.91.053626

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