Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interplay of Soundcone and Supersonic Propagation in Lattice Models with
  Power Law Interactions   We study the spreading of correlations and other physical quantities in
quantum lattice models with interactions or hopping decaying like $r^{-\alpha}$
with the distance $r$. Our focus is on exponents $\alpha$ between 0 and 6,
where the interplay of long- and short-range features gives rise to a complex
phenomenology and interesting physical effects, and which is also the relevant
range for experimental realizations with cold atoms, ions, or molecules. We
present analytical and numerical results, providing a comprehensive picture of
spatio-temporal propagation. Lieb-Robinson-type bounds are extended to strongly
long-range interactions where $\alpha$ is smaller than the lattice dimension,
and we report particularly sharp bounds that are capable of reproducing regimes
with soundcone as well as supersonic dynamics. Complementary lower bounds prove
that faster-than-soundcone propagation occurs for $\alpha<2$ in any spatial
dimension, although cone-like features are shown to also occur in that regime.
Our results provide guidance for optimizing experimental efforts to harness
long-range interactions in a variety of quantum information and signaling
tasks.

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The categories of this paper are: eess
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex