Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Slow propagation in some disordered quantum spin chains   We introduce the notion of transmission time to study the dynamics of
disordered quantum spin chains and prove results relating its behavior to
many-body localization properties. We also study two versions of the so-called
Local Integrals of Motion (LIOM) representation of spin chain Hamiltonians and
their relation to dynamical many-body localization. We prove that
uniform-in-time dynamical localization expressed by a zero-velocity
Lieb-Robinson bound implies the existence of a LIOM representation of the
dynamics as well as a weak converse of this statement. We also prove that for a
class of spin chains satisfying a form of exponential dynamical localization,
sparse perturbations result in a dynamics in which transmission times diverge
at least as a power law of distance, with a power for which we provide lower
bound that diverges with increasing sparseness of the perturbation.

35
The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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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
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
9
The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: solv-int