Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Structure of binary Bose-Einstein condensates   We identify all possible classes of solutions for two-component Bose-Einstein
condensates (BECs) within the Thomas-Fermi (TF) approximation, and check these
results against numerical simulations of the coupled Gross-Pitaevskii equations
(GPEs). We find that they can be divided into two general categories. The first
class contains solutions with a region of overlap between the components. The
other class consists of non-overlapping wavefunctions, and contains also
solutions that do not possess the symmetry of the trap. The chemical potential
and average energy can be found for both classes within the TF approximation by
solving a set of coupled algebraic equations representing the normalization
conditions for each component. A ground state minimizing the energy (within
both classes of the states) is found for a given set of parameters
characterizing the scattering length and confining potential. In the TF
approximation, the ground state always shares the symmetry of the trap.
However, a full numerical solution of the coupled GPEs, incorporating the
kinetic energy of the BEC atoms, can sometimes select a broken-symmetry state
as the ground state of the system. We also investigate effects of finite-range
interactions on the structure of the ground state.

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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: math
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The categories of this paper are: hep-ph