Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact quantum Monte Carlo study of one dimensional trapped fermions with
  attractive contact interactions   Using exact continuous quantum Monte Carlo techniques, we study the zero and
finite temperature properties of a system of harmonically trapped one
dimensional spin 1/2 fermions with short range interactions. Motivated by
experimental searches for modulated Fulde-Ferrel-Larkin-Ovchinikov states, we
systematically examine the impact of a spin imbalance on the density profiles.
We quantify the accuracy of the Thomas-Fermi approximation, finding that for
sufficiently large particle numbers (N > 100) it quantitatively reproduces most
features of the exact density profile. The Thomas-Fermi approximation fails to
capture small Friedel-like spin and density oscillations and overestimates the
size of the fully paired region in the outer shell of the trap. Based on our
results, we suggest a range of experimentally tunable parameters to maximize
the visibility of the double shell structure of the system and the
Fulde-Ferrel-Larkin-Ovchinikov state in the one dimensional harmonic trap.
Furthermore, we analyze the fingerprints of the attractive contact interactions
in the features of the momentum and pair momentum distributions.

29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas