Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Light scattering in inhomogeneous Tomonaga-Luttinger liquids   We derive the dynamical structure factor for an inhomogeneous
Tomonaga-Luttinger liquid as can be formed in a confined strongly interacting
one-dimensional gas. In view of current experimental progress in the field, we
provide a simple analytic expression for the light-scattering cross section,
requiring only the knowledge of the density dependence of the ground-state
energy, as they can be extracted e.g. from exact or Quantum Monte Carlo
techniques, and a Thomas-Fermi description. We apply the result to the case of
one-dimensional quantum bosonic gases with dipolar interaction in a harmonic
trap, using an energy functional deduced from Quantum Monte Carlo computations.
We find an universal scaling behavior peculiar of the Tomonaga-Luttinger
liquid, a signature that can be eventually probed by Bragg spectroscopy in
experimental realizations of such systems.

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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
1
The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex