Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Position and Momentum Entanglement of Dipole-Dipole Interacting Atoms in
  Optical Lattices: The Einstein-Podolsky-Rosen Paradox on a Lattice   We study a possible realization of the position- and momentum-correlated
atomic pairs that are confined to adjacent sites of two mutually shifted
optical lattices and are entangled via laser-induced dipole-dipole
interactions. The Einstein-Podolsky-Rosen (EPR) ``paradox'' [Phys. Rev. 47, 777
(1935)] with translational variables is then modified by lattice-diffraction
effects. This ``paradox'' can be verified to a high degree of accuracy in this
scheme.

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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: hep-th