Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universality of Fragmentation in the Schr\"odinger Dynamics of Bosonic
  Josephson Junctions   The many-body Schr\"odinger dynamics of a one-dimensional bosonic Josephson
junction is investigated for up to ten thousand bosons and long times. The
initial states are fully condensed and the interaction strength is weak. We
report on a universal fragmentation dynamics on the many-body level: systems
consisting of different numbers of particles fragment to the same value at
constant mean-field interaction strength. The phenomenon manifests itself in
observables such as the correlation functions of the system. We explain this
universal fragmentation dynamics analytically based on the Bose-Hubbard model.
We thereby show that the extent to which many-body effects become important at
later times depends crucially on the initial state. Even for arbitrarily large
particle numbers and arbitrarily weak interaction strength the dynamics is
many-body in nature and the fragmentation universal. There is no weakly
interacting limit where the Gross-Piatevskii mean-field is valid for long
times.

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The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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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: patt-sol
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The categories of this paper are: q-alg
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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: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: math
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The categories of this paper are: nucl-th