Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Density profile of interacting Fermions in a one-dimensional optical
  trap   The density distribution of the one-dimensional Hubbard model in a harmonic
trapping potential is investigated in order to study the effect of the
confining trap. Strong superimposed oscillations are always present on top of a
uniform density cloud, which show universal scaling behavior as a function of
increasing interactions. An analytical formula is proposed on the basis of
bosonization, which describes the density oscillations for all interaction
strengths. The wavelength of the dominant oscillation changes with interaction,
which indicates the crossover to a spin-incoherent regime. Using the Bethe
ansatz the shape of the uniform fermion cloud is analyzed in detail, which can
be described by a universal scaling form.

12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
2
The categories of this paper are: math