Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dilute Fermi gas in quasi-one-dimensional traps: From weakly interacting
  fermions via hard core bosons to weakly interacting Bose gas   We study equilibrium properties of a cold two-component Fermi gas confined in
a quasi-one-dimensional trap of the transverse size $l_{\perp}$. In the dilute
limit ($nl_{\perp}\ll 1$, where $n$ is the 1D density) the problem is exactly
solvable for an arbitrary 3D fermionic scattering length $a_{F}$. When
$l_{\perp}/a_{F}$ goes from $-\infty$ to $+\infty$, the system successively
passes three regimes: weakly interacting Fermi gas, hard core Bose gas and
weakly coupled Bose gas. The regimes are separated by two crossovers at
$a_{F}\sim \pm nl_{\perp}^{2}$. In conclusion we discuss experimental
implications of these results.

15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th