Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Droplet localization in the random XXZ model and its manifestations   We examine many-body localization properties for the eigenstates that lie in
the droplet sector of the random-field spin-$\frac 1 2$ XXZ chain. These states
satisfy a basic single cluster localization property (SCLP), derived in
\cite{EKS}. This leads to many consequences, including dynamical exponential
clustering, non-spreading of information under the time evolution, and a zero
velocity Lieb Robinson bound. Since SCLP is only applicable to the droplet
sector, our definitions and proofs do not rely on knowledge of the spectral and
dynamical characteristics of the model outside this regime. Rather, to allow
for a possible mobility transition, we adapt the notion of restricting the
Hamiltonian to an energy window from the single particle setting to the many
body context.

11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys