Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective-range dependence of two-dimensional Fermi gases   The Feshbach resonance provides precise control over the scattering length
and effective range of interactions between ultracold atoms. We propose the
ultratransferable pseudopotential to model effective interaction ranges $-1.5
\leq k_\mathrm{F}^2 R_\mathrm{eff}^2 \leq 0$, here $R_\mathrm{eff}$ is the
effective range and $k_\mathrm{F}$ is the Fermi wave vector, describing narrow
to broad Feshbach resonances. We develop a mean-field treatment and exploit the
pseudopotential to perform a variational and diffusion Monte Carlo study of the
ground state of the two-dimensional Fermi gas, reporting on the ground-state
energy, contact, condensate fraction, momentum distribution, and
pair-correlation functions as a function of the effective interaction range
across the BEC-BCS crossover. The limit $k_\mathrm{F}^2 R_\mathrm{eff}^2 \to
-\infty$ is a gas of bosons with zero binding energy, whereas $\ln(k_\mathrm{F}
a) \to -\infty$ corresponds to noninteracting bosons with infinite binding
energy.

14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn