Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Post-Quantum Quench Growth of Renyi Entropies in Perturbed Luttinger
  Liquids   The growth of Renyi entropies after the injection of energy into a correlated
system provides a window upon the dynamics of its entanglement properties. We
provide here a scheme by which this growth can be determined in Luttinger
liquids systems with arbitrary interactions, even those introducing gaps into
the liquid. This scheme introduces the notion of a generalized mixed state
Renyi entropy. We show that these generalized Renyi entropies can be computed
and provide analytic expressions thereof. Using these generalized Renyi
entropies, we provide analytic expressions for the short time growth of the
second and third Renyi entropy after a quantum quench of the coupling strength
between two Luttinger liquids, relevant for the study of the dynamics of cold
atomic systems. For longer times, we use truncated spectrum methods to evaluate
the post-quench Renyi entropy growth.

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The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: econ
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc