Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On polynomial Lieb-Robinson bounds for the XY chain in a decaying random
  field   We consider the isotropic XY quantum spin chain in a random external field in
the $z$ direction, with single site distributions given by i.i.d. random
variables times the critical decaying envelope $j^{-1/2}$. Our motivation is
the study of many-body localization. We investigate transport properties in
terms of polynomial Lieb-Robinson (PLR) bounds. We prove a zero-velocity PLR
bound for large disorder strength $\lambda$ and for small $\lambda$ we show a
partial converse, which suggests the existence of non-trivial transport in the
model.

29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol