Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of Atom-Mediated Photon-Photon Scattering I: Theory   The mediated photon-photon interaction due to the resonant Kerr nonlinearity
in an inhomogeneously broadened atomic vapor is considered. The time-scale for
photon-photon scattering is computed and found to be determined by the
inhomogeneous broadening and the magnitude of the momentum transfer. This time
can be shorter than the atomic relaxation time. Effects of atom statistics are
included and the special case of small-angle scattering is considered. In the
latter case the time-scale of the nonlinear response remains fast, even though
the linear response slows as the inverse of the momentum transfer.

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The categories of this paper are: supr-con
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ