Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrable time-dependent Hamiltonians, solvable Landau-Zener models and
  Gaudin magnets   We solve the non-stationary Schrodinger equation for several time-dependent
Hamiltonians, such as the BCS Hamiltonian with an interaction strength
inversely proportional to time, periodically driven BCS and linearly driven
inhomogeneous Dicke models as well as various multi-level Landau-Zener
tunneling models. The latter are Demkov-Osherov, bow-tie, and generalized
bow-tie models. We show that these Landau-Zener problems and their certain
interacting many-body generalizations map to Gaudin magnets in a magnetic
field. Moreover, we demonstrate that the time-dependent Schrodinger equation
for the above models has a similar structure and is integrable with a similar
technique as Knizhnikov-Zamolodchikov equations. We also discuss applications
of our results to the problem of molecular production in an atomic Fermi gas
swept through a Feshbach resonance and to the evaluation of the Landau-Zener
transition probabilities.

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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom