Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical properties of the momentum occupation numbers of the
  Tonks-Girardeau gas in a harmonic trap   We compute the fluctuations of the number of bosons with a given momentum for
the Tonks-Girardeau gas at zero and finite temperature in a harmonic trap. We
show that correlations between opposite momentum states $p$, which is an
important fingerprint of long range order in weakly interacting Bose systems
are suppressed. Non trivial correlations, including negative correlations are
observed for momenta smaller or of the order of the inverse radius of the gas.
The full distribution of the number of bosons with momentum $p$ exhibits an
interesting crossover from a non trivial distribution at zero momentum to an
exponential distribution. The distribution of the quasi-condensate occupation
is also studied. Experimental relevance of our findings for recent cold atoms
experiments are discussed.

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The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics