Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Breakdown of quasilocality in long-range quantum lattice models   We study the non-equilibrium dynamics of correlations in quantum lattice
models in the presence of long-range interactions decaying asymptotically as a
power law. For exponents larger than the lattice dimensionality, a
Lieb-Robinson-type bound effectively restricts the spreading of correlations to
a causal region, but allows supersonic propagation. We show that this decay is
not only sufficient but also necessary. Using tools of quantum metrology, for
any exponents smaller than the lattice dimension, we construct Hamiltonians
giving rise to quantum channels with capacities not restricted to a causal
region. An analytical analysis of long-range Ising models illustrates the
disappearance of the causal region and the creation of correlations becoming
distance-independent. Numerical results obtained using matrix product state
methods for the XXZ spin chain reveal the presence of a sound cone for large
exponents, and supersonic propagation for small ones. In all models we analyzed
the fast spreading of correlations follows a power law, but not the exponential
increase of the long-range Lieb-Robinson bound.

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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph