Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: BEC-Polaron gas in a boson-fermion mixture : a many-body extension of
  Lee-Low-Pines theory   We investigate the ground state properties of the gaseous mixture of a single
species of bosons and fermions at zero temperature, where bosons are major in
population over fermions, and form the Bose-Einstein condensate (BEC). The
boson-boson and boson-fermion interactions are assumed to be weakly repulsive
and attractive respectively, while the fermion-fermion interaction is absent
due to the Pauli exclusion for the low energy $s$-wave scattering. We treat
fermions as a gas of polarons dressed with Bogoliubov phonons, which is an
elementary excitation of the BEC, and evaluate the ground state properties with
the method developed by Lemmens, Devreese, and Brosens (LDB) originally for the
electron polaron gas, and also with a general extension of the Lee-Low-Pines
theory for many-body systems (eLLP), which incorporates the phonon drag effects
as in the original LLP theory. The formulation of eLLP is developed and
discussed in the present paper. The binding (interaction) energy of the polaron
gas is calculated in these methods, and shown to be finite (negative) for the
dilute gas of heavy fermions with attractive boson-fermion interactions, though
the suppression by the many-body effects exists.

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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
23
The categories of this paper are: solv-int