Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of correlations in shallow optical lattices   We explore how correlations evolve in a gas of lattice bosons when the
lattice depth is rapidly reduced. We find a simple closed form expression for
the static structure factor in the limit of vanishing interactions. The
corresponding real-space density correlation function shows multiple spatial
oscillations which linearly disperse as a function of time. By perturbatively
including the effects of the interactions we calculate how the boson
quasi-momentum evolves following the quench.

7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ