Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of mobility edges in disordered interacting systems   Many-body localization provides a mechanism to avoid thermalization in
isolated interacting quantum systems. The breakdown of thermalization may be
complete, when all eigenstates in the many-body spectrum become localized, or
partial, when the so-called many-body mobility edge separates localized and
delocalized parts of the spectrum. Previously, De Roeck \textit{et
al.}[arXiv:1506.01505] suggested a possible instability of the many-body
mobility edge in energy density. The local ergodic regions -- so called
"bubbles" -- resonantly spread throughout the system, leading to
delocalization. In order to study such instability mechanism, in this work we
design a model featuring many-body mobility edge in \emph{particle density}:
the states at small particle density are localized, while increasing the
density of particles leads to delocalization. Using numerical simulations with
matrix product states we demonstrate the stability of MBL with respect to small
bubbles in large dilute systems for experimentally relevant timescales. In
addition, we demonstrate that processes where the bubble spreads are favored
over processes that lead to resonant tunneling, suggesting a possible mechanism
behind the observed stability of many-body mobility edge. We conclude by
proposing experiments to probe particle density mobility edge in Bose-Hubbard
model.

5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
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The categories of this paper are: math
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics