Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-consistent determination of the many-body state of ultracold
  bosonic atoms in a one-dimensional harmonic trap   We study zero-temperature quantum fluctuations in harmonically trapped
one-dimensional interacting Bose gases, using the self-consistent
multiconfigurational time-dependent Hartree method. We define $phase$
$fluctuations$ from the full single-particle density matrix by the spatial
decay exponent of off-diagonal long-range order. In a regime of mesoscopic
particle numbers and moderate contact couplings, we derive the spatial
dependence of the amplitude of phase fluctuations, determined from the {\em
self-consistently} derived shape of the field operator orbitals and Fock space
orbital occupation amplitudes. It is shown that the phase fluctuations display
a peak, which in turn corresponds to a dip of the first-order correlations in
position space, akin to what has previously been obtained in the
Tonks-Girardeau limit of very large interactions and low densities.

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The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th