Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Out-of-horizon correlations following a quench in a relativistic quantum
  field theory   One of the manifestations of relativistic invariance in non-equilibrium
quantum field theory is the "horizon effect" a.k.a. light-cone spreading of
correlations: starting from an initially short-range correlated state,
measurements of two observers at distant space-time points are expected to
remain independent until their past light-cones overlap. Surprisingly, we find
that in the presence of topological excitations correlations can develop
outside of horizon and indeed even between infinitely distant points. We
demonstrate this effect for a wide class of global quantum quenches to the
sine-Gordon model. We point out that besides the maximum velocity bound implied
by relativistic invariance, clustering of initial correlations is required to
establish the "horizon effect". We show that quenches in the sine-Gordon model
have an interesting property: despite the fact that the initial states have
exponentially decaying correlations and cluster in terms of the bosonic fields,
they violate the clustering condition for the soliton fields, which is argued
to be related to the non-trivial field topology. The nonlinear dynamics
governed by the solitons makes the clustering violation manifest also in
correlations of the local bosonic fields after the quench.

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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: math