Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localization Properties of the XY Spin Chain. A review of mathematical
  results with an eye toward Many-Body Localization   We review several aspects of Many-Body Localization-like properties exhibited
by the disordered XY chains: localization properties of the energy eigenstates
and thermal states, propagation bounds of Lieb-Robinson type, decay of
correlation functions, absence of particle transport, bounds on the bipartite
entanglement, and bounded entanglement growth under the dynamics. We also prove
new results on the absence of energy transport and Fock space localization. All
these properties are made accessible to mathematical analysis due to the exact
mapping of the XY chain to a system of quasi-free fermions given by the
Jordan-Wigner transformation. Motivated by these results we discuss conjectured
properties of more general disordered quantum spin and other systems as
possible directions for future mathematical research.

15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg