Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Images of a Bose-Einstein condensate in position and momentum space   In the Bogoliubov theory a condensate initially prepared in its ground state
described by stationary Bogoliubov vacuum and later perturbed by a
time-dependent potential or interaction strength evolves into a time-dependent
excited state which is dynamical Bogoliubov vacuum. The dynamical vacuum has a
simple diagonal form in a time-dependent orthonormal basis of single particle
modes. This diagonal representation leads to a gaussian probability
distribution for possible outcomes of density measurements in position and
momentum space. In these notes we also discuss relations with the U(1) symmetry
breaking version of the Bogoliubov theory and give two equivalent gaussian
integral representations of the dynamical vacuum state.

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The categories of this paper are: math
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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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: econ
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex