Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal Properties of Fermi Gases in One-dimension   In this Rapid Communication, we investigate the universal properties of a
spin-polarized two-component Fermi gas in one dimension (1D) using Bethe
ansatz. We discuss the quantum phases and phase transitions by obtaining exact
results for the equation of state, the contact, the magnetic susceptibility and
the contact susceptibility, giving a precise understanding of the 1D analogue
of the Bose-Einstein condensation and Bardeen-Cooper-Schrieffer crossover in
three dimension (3D) and the associated universal magnetic properties. In
particular, we obtain the exact form of the magnetic susceptibility $\chi \sim
{1}/{\sqrt{T}}\exp(-\Delta/T)$ at low temperatures, where $\Delta$ is the
energy gap and $T$ is the temperature. Moreover, we establish exact upper and
lower bounds for the relation between polarization $P$ and the contact $C$ for
both repulsive and attractive Fermi gases. Our findings emphasize the role of
the pair fluctuations in strongly interacting 1D fermion systems that can shed
light on higher dimensions.

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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
2
The categories of this paper are: math
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex