Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Lieb-Robinson bounds for the Bose-Hubbard model   We consider the dynamics of the Bose-Hubbard model on general lattices and
prove a Lieb-Robinson bound for observables whose supports are separated by an
initially particle-free region. We further obtain a maximal velocity bound for
particle transport through an initially empty region which also applies to
long-range hopping. Our techniques originate in the proofs of maximal velocity
bounds for Schr\"odinger operators and scattering theory in non-relativistic
QED.

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The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
3
The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph