Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reduced dimensionality and spatial entanglement in highly anisotropic
  Bose-Einstein condensates   We investigate the reduced dimensionality of highly anisotropic Bose-Einstein
condensates (BECs) in connection to the entanglement between its spatial
degrees of freedom. We argue that the reduced-dimensionality of the BEC is
physically meaningful in a regime where spatial correlations are negligible. We
handle the problem analytically within the mean-field approximation for general
quasi-one-dimensional and -two-dimensional geometries, and obtain the optimal
reduced-dimension, pure-state description of the condensate mean field. We give
explicit solutions to the case of harmonic potentials, which we compare against
exact numerical integration of the three-dimensional Gross-Pitaevskii equation.

20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th