Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite-temperature properties of hard-core bosons confined on
  one-dimensional optical lattices   We present an exact study of the finite-temperature properties of hard-core
bosons (HCB's) confined on one-dimensional optical lattices. Our solution of
the HCB problem is based on the Jordan-Wigner transformation and properties of
Slater determinants. We analyze the effects of the temperature on the behavior
of the one-particle correlations, the momentum distribution function, and the
lowest natural orbitals. In addition, we compare results obtained using the
grand-canonical and canonical descriptions for systems like the ones recently
achieved experimentally. We show that even for such small systems, as small as
10 HCB's in 50 lattice sites, there are only minor differences between the
energies and momentum distributions obtained within both ensembles.

13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin