Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ground-state properties of the one-dimensional attractive Hubbard model
  with confinement: a comparative study   We revisit the one-dimensional attractive Hubbard model by using the
Bethe-ansatz based density-functional theory and density-matrix renormalization
method. The ground-state properties of this model are discussed in details for
different fillings and different confining conditions in weak-to-intermediate
coupling regime. We investigate the ground-state energy, energy gap, and
pair-binding energy and compare them with those calculated from the canonical
Bardeen-Cooper-Schrieffer approximation. We find that the Bethe-ansatz based
density-functional theory is computationally easy and yields an accurate
description of the ground-state properties for weak-to-intermediate interaction
strength, different fillings, and confinements. In order to characterize the
quantum phase transition in the presence of a harmonic confinement, we
calculate the thermodynamic stiffness, the density-functional fidelity, and
fidelity susceptibility, respectively. It is shown that with the increase of
the number of particles or attractive interaction strength, the system can be
driven from the Luther-Emery-type phase to the composite phase of
Luther-Emery-like in the wings and insulating-like in the center.

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The categories of this paper are: math
24
The categories of this paper are: dg-ga
23
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: atom-ph
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The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: adap-org