Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quench Dynamics of the Gaudin-Yang Model   We study the quench dynamics of one dimensional bosons or fermion quantum
gases with either attractive or repulsive contact interactions. Such systems
are well described by the Gaudin-Yang model which turns out to be quantum
integrable. We use a contour integral approach, the Yudson approach, to expand
initial states in terms of Bethe Ansatz eigenstates of the Hamiltonian. Making
use of the contour, we obtain a complete set of eigenstates, including both
free states and bound states. These states constitute a larger Hilbert space
than described by the standard String hypothesis. We calculate the density and
noise correlations of several quenched systems such as a static or kinetic
impurity evolving in an array of particles.

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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: math
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs