Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical simulations of strongly correlated fermions confined in 1D
  optical lattices   On the basis of quantum Monte Carlo (QMC) simulations we study the formation
of Mott domains in the one-dimensional Hubbard model with an additional
confining potential. We find evidences of quantum critical behavior at the
boundaries of the Mott-insulating regions. A local compressibility defined to
characterize the local phases exhibits a non-trivial critical exponent on
entering the Mott-insulating domains. Both the local compressibility and the
variance of the local density show universality with respect to the confining
potential. We also study the momentum distribution function of the trapped
system, and determine its phase diagram.

9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg