Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spatial Correlation Diagnostics for Atoms in Optical Lattices   We explore the use of first and second order same-time atomic spatial
correlation functions as a diagnostic for probing the small scale spatial
structure of atomic samples trapped in optical lattices. Assuming an ensemble
of equivalent atoms, properties of the local wave function at a given lattice
site can be measured using same-position first-order correlations. Statistics
of atomic distributions over the lattice can be measured via two-point
correlations, generally requiring the averaging of multiple realizations of
statistically similar but distinct realizations in order to obtain sufficient
signal to noise. Whereas two-point first order correlations are fragile due to
phase fluctuations from shot-to-shot in the ensemble, second order correlations
are robust. We perform numerical simulations to demonstrate these diagnostic
tools.

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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: math
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int