Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum dynamics in splitting a harmonically trapped Bose-Einstein
  condensate by an optical lattice: Truncated Wigner approximation   We study the splitting of a harmonically trapped atomic Bose-Einstein
condensate when we continuously turn up an optical lattice (or a double-well)
potential. As the lattice height is increased, quantum fluctuations of atoms
are enhanced. The resulting nonequilibrium dynamics of the fragmentation
process of the condensate, the loss of the phase coherence of atoms along the
lattice, and the reduced atom number fluctuations in individual lattice sites
are stochastically studied within the truncated Wigner approximation. We
perform a detailed study of the effects of temperature and lattice height on
atom dynamics, and investigate the validity of the classical Gross-Pitaevskii
equation in optical lattices. We find the atom number squeezing to saturate in
deep lattices due to nonadiabaticity in turning up of the lattice potential
that is challenging to avoid in experiments when the occupation number of the
lattice sites is large, making it difficult to produce strongly number squeezed
(or the Mott insulator) states with large filling factors. We also investigate
some general numerical properties of the truncated Wigner approximation.

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The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
1
The categories of this paper are: cs