Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The inverse-square interaction phase diagram: unitarity in the bosonic
  ground state   Ground-state properties of bosons interacting via inverse square potential
(three dimensional Calogero-Sutherland model) are analyzed. A number of
quantities scale with the density and can be naturally expressed in units of
the Fermi energy and Fermi momentum multiplied by a dimensionless constant
(Bertsch parameter). Two analytical approaches are developed: the Bogoliubov
theory for weak and the harmonic approximation (HA) for strong interactions.
Diffusion Monte Carlo method is used to obtain the ground-state properties in a
non-perturbative manner. We report the dependence of the Bertsch parameter on
the interaction strength and construct a Pad\'e approximant which fits the
numerical data and reproduces correctly the asymptotic limits of weak and
strong interactions. We find good agreement with beyond-mean field theory for
the energy and the condensate fraction. The pair distribution function and the
static structure factor are reported for a number of characteristic
interactions. We demonstrate that the system experiences a gas-solid phase
transition as a function of the dimensionless interaction strength. A
peculiarity of the system is that by changing the density it is not possible to
induce the phase transition. We show that the low-lying excitation spectrum
contains plasmons in both phases, in agreement with the Bogoliubov and HA
theories. Finally, we argue that this model can be interpreted as a realization
of the unitary limit of a Bose system with the advantage that the system stays
in the genuine ground state contrarily to the metastable state realized in
experiments with short-range Bose gases.

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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
2
The categories of this paper are: math