Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal local pair correlations of Lieb-Liniger bosons at quantum
  criticality   The one-dimensional Lieb-Liniger Bose gas is a prototypical many-body system
featuring universal Tomonaga-Luttinger liquid (TLL) physics and free fermion
quantum criticality. We analytically calculate finite temperature local pair
correlations for the strong coupling Bose gas at quantum criticality using the
polylog function in the framework of the Yang-Yang thermodynamic equations. We
show that the local pair correlation has the universal value $g^{(2)}(0)\approx
2 p/(n\varepsilon)$ in the quantum critical regime, the TLL phase and the
quasi-classical region, where $p$ is the pressure per unit length rescaled by
the interaction energy $\varepsilon=\frac{\hbar^2}{2m} c^2$ with interaction
strength $c$ and linear density $n$. This suggests the possibility to test
finite temperature local pair correlations for the TLL in the relativistic
dispersion regime and to probe quantum criticality with the local correlations
beyond the TLL phase. Furthermore, thermodynamic properties at high
temperatures are obtained by both high temperature and virial expansion of the
Yang-Yang thermodynamic equation.

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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex