Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bogoliubov Theory of Disordered Bose-Einstein Condensates   We describe interacting bosons at low temperature in spatially correlated
random potentials. By a Bogoliubov expansion around the deformed mean-field
condensate, the fundamental Hamiltonian for elementary excitations is derived,
achieving an analytical formulation in the case of weak disorder. From this, we
calculate the sound velocity and true zero-temperature condensate depletion in
correlated disorder and all dimensions.

17
The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics