Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pattern formation in a driven Bose-Einstein Condensate   Pattern formation is ubiquitous in nature from morphogenesis and cloud
formation to galaxy filamentation. More often than not, patterns arise in a
medium driven far from equilibrium due to the interplay of dynamical
instability and nonlinear wave mixing. We report, based on momentum and real
space pattern recognition, formation of density patterns with two- (D$_2$),
four- (D$_4$) and six-fold (D$_6$) symmetries in Bose-Einstein condensates
(BECs) with atomic interactions driven at two frequencies. The symmetry of the
pattern is controlled by the ratio of the frequencies. The D$_6$ density waves,
in particular, arise from a resonant wave mixing process that coherently
correlates and enhances the excitations that respect the symmetry.

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The categories of this paper are: q-bio
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The categories of this paper are: stat
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph