Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Beyond Thomas--Fermi analysis of the density profiles of a miscible
  two-component Bose--Einstein condensate   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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The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph