Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The condensed fraction of a homogeneous dilute Bose gas within the
  improved Hartree-Fock approximation   Motivated by the recent experiment [R. Lopes et. al., Phys. Rev. Lett. 119,
190404 (2017)] with a homogeneous Bose gas, we investigate a homogeneous dilute
Bose gas to calculate the quantum depletion density. By means of the
Cornwall-Jackiw-Tomboulis effective action approach within an improved
Hartree-Fock approximation, the condensed fraction is recovered in a simpler
manner and compared with corresponding findings in experimental data.
Additionally, higher-order terms are taken into account for several physical
quantities, in particular for the chemical potential and free energy density.

23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci