Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interfaces between Bose-Einstein and Tonks-Girardeau atomic gases   We consider one-dimensional mixtures of an atomic Bose-Einstein condensate
(BEC) and Tonks- Giradeau (TG) gas. The mixture is modeled by a coupled system
of the Gross-Pitaevskii equation for the BEC and the quintic nonlinear
Schroedinger equation for the TG component. An immiscibility condition for the
binary system is derived in a general form. Under this condition, three types
of BEC-TG interfaces are considered: domain walls (DWs) separating the two
components; bubble-drops (BDs), in the form of a drop of one component immersed
into the other (BDs may be considered as bound states of two DWs); and bound
states of bright and dark solitons (BDSs). The same model applies to the
copropagation of two optical waves in a colloidal medium. The results are
obtained by means of systematic numerical analysis, in combination with
analytical Thomas-Fermi approximations (TFAs). Using both methods, families of
DW states are produced in a generic form. BD complexes exist solely in the form
of a TG drop embedded into the BEC background. On the contrary, BDSs exist as
bound states of TG bright and BEC dark components, and vice versa.

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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int