Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spatial structure of the pair wavefunction and the density correlation
  functions at the BEC-BCS crossover   By an exact numerical calculation of the BCS pair wavefunction and the
density correlation functions both between atoms in the same and in different
spin states, we extract the spatial large distance behavior of the respective
functions. After different initial transients, those distributions show an
algebraic dependence accompanied with their own exponential decay and a well
defined periodic oscillatory behavior. While in general, in the BCS side there
are long-range correlations and in the BEC region the behavior is dominated by
tight pairs formation, each distribution shows its own overall behavior. We
derive analytic expressions for the mean pair size and the correlation lengths
of the same and different density correlation functions. The whole analysis
yields a quite complete description of the spatial structure of the superfluid
along the crossover.

31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th