Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wigner crystal induced by dipole-dipole interaction in one-dimensional
  optical lattices   We demonstrate that the static structure factor, momentum distribution and
density distribution provide clear signatures of the emergence of Wigner
crystal for the fermionic dipolar gas with strongly repulsive dipole-dipole
interactions trapped in one-dimensional optical lattices. Our numerical
evidences are based on the exact diagonalization of the microscopic effective
lattice Hamiltonian of few particles interacting with long-range interactions.
As a comparison, we also study the system with only nearest-neighbor
interactions, which displays quite different behaviors from the dipolar system
in the regime of strong repulsion.

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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex