Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pair-correlation ansatz for the ground state of interacting bosons in an
  arbitrary one-dimensional potential   We derive and describe a very accurate variational scheme for the ground
state of the system of a few ultra-cold bosons confined in one-dimensional
traps of arbitrary shapes. It is based on assumption that all inter-particle
correlations have two-body nature. By construction, the proposed ansatz is
exact in the noninteracting limit, exactly encodes boundary conditions forced
by contact interactions, and gives full control on accuracy in the limit of
infinite repulsions. We show its efficiency in a whole range of intermediate
interactions for different external potentials. Our results manifest that for
generic non-parabolic potentials mutual correlations forced by interactions
cannot be captured by distance-dependent functions.

11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga