Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical Density Fluctuation of Superfluids near Critical Velocities   We propose a stability criterion of superfluids in condensed Bose-Einstein
systems, which incorporates the spectral function or the autocorrelation
function of the local density. Within the Gross-Pitaevskii-Bogoliubov theory,
we demonstrate the validity of our criterion for the soliton-emission
instability, with use of explicit forms of zero modes of the Bogoliubov
equation and a dynamical scaling near the saddle-node bifurcation. We also show
that the criterion is applicable to the Landau phonon instability and the
Landau roton instability within the single-mode approximation.

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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph