Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Loading Bose condensed atoms into the ground state of an optical lattice   We optimize the turning on of a one-dimensional optical potential, V_L(x,t) =
S(t) V_0 cos^2(kx) to obtain the optimal turn-on function S(t) so as to load a
Bose-Einstein condensate into the ground state of the optical lattice of depth
V_0. Specifically, we minimize interband excitations at the end of the turn-on
of the optical potential at the final ramp time t_r, where S(t_r) = 1, given
that S(0) = 0. Detailed numerical calculations confirm that a simple unit cell
model is an excellent approximation when the turn-on time t_r is long compared
with the inverse of the band excitation frequency and short in comparison with
nonlinear time \hbar/\mu where \mu is the chemical potential of the condensate.
We demonstrate using the Gross-Pitaevskii equation with an optimal turn-on
function S(t) that the ground state of the optical lattice can be loaded with
very little excitation even for times t_r on the order of the inverse band
excitation frequency.

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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: math
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The categories of this paper are: gr-qc