Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gibbs measures based on 1D (an)harmonic oscillators as mean-field limits   We prove that Gibbs measures based on 1D defocusing nonlinear Schr{\"o}dinger
functionals with sub-harmonic trapping can be obtained as the mean-field/large
temperature limit of the corresponding grand-canonical ensemble for many
bosons. The limit measure is supported on Sobolev spaces of negative regularity
and the corresponding density matrices are not trace-class. The general proof
strategy is that of a previous paper of ours, but we have to complement it with
Hilbert-Schmidt estimates on reduced density matrices.

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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
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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: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int