Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resonantly interacting $p$-wave Fermi superfluid in two dimensions:
  Tan's contact and breathing mode   Inspired by the renewed experimental activities on $p$-wave resonantly
interacting atomic Fermi gases, we theoretically investigate some experimental
observables of such systems at zero temperature in two dimensions, using both
mean-field theory and Gaussian pair fluctuation theory. These observables
include the two $p$-wave contact parameters and the breathing mode frequency,
which can be readily measured in current cold-atom setups with $^{40}$K and
$^{6}$Li atoms. We find that the many-body component of the two contact
parameters exhibits a pronounced peak slightly above the resonance and
consequently leads to a dip in the breathing mode frequency. In the resonance
limit, we discuss the dependence of the equation of state and the breathing
mode frequency on the dimensionless effective range of the interaction,
$k_{F}R_{p}\ll1$, where $k_{F}$ is the Fermi wavevector and $R_{p}$ is the
effective range. The breathing mode frequency $\omega_{B}$ deviates from the
scale-invariant prediction of $\omega_{c}=2\omega_{0}$, where $\omega_{0}$ is
the trapping frequency of the harmonic potential. This frequency shift is
caused by the necessary existence of the effective range. In the small range
limit, we predict that the mode frequency deviation at the leading order is
given by, $\delta\omega_{B}\simeq-(\omega_{0}/4)\ln^{-1}(k_{F}R_{p})$.

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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci