Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correlations in non-equilibrium Luttinger liquid and singular Fredholm
  determinants   We study interaction-induced correlations in Luttinger liquid with multiple
Fermi edges. Many-particle correlation functions are expressed in terms of
Fredholm determinants ${\rm det}(1+\hat{A}\hat{B})$, where $A(\epsilon)$ and
$B(t)$ have multiple discontinuities in energy and time spaces. Such
determinants are a generalization of Toeplitz determinants with Fisher-Hartwig
singularities. We propose a general asymptotic formula for this class of
determinants and provide analytical and numerical support to this conjecture.
This allows us to establish non-equilibrium power-law singularities of
many-particle correlation functions. As an example, we calculate a two-particle
distribution function characterizing correlations between left- and
right-moving fermions that have left the interaction region.

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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex