Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Many-body localization in a disorder Bose-Hubbard chain   Many-body localization of a disorder interacting boson system in one
dimension is studied numerically at the filling factor being one-half, in terms
of level statistics, local compressibility, correlation function and
entanglement entropies. The von Neumann entanglement entropy is decoupled into
a particle number entropy and a configuration entropy. An anomalous volume-law
behavior is found for the configuration entanglement entropy to confirm a
recent experimental observation [A. Lukin, M. Rispoli, R. Schittko, et al.,
Science 364, 256 (2019)] for sufficient strong disorder, while the particle
number entropy fulfills an area-law corresponding to the total entropy for
disordered spin chain. The localization length are extracted from a two-body
correlation function for many-body localization states and corresponding
time-evolutions states as well. A phase diagrams is established with consisting
of an ergodic thermalized region and a many-body-localization region in a
parameter space of the disorder strength and the energy density. Two regions
are separated by a many-body mobility edge deducted from the standard deviation
of the particle-number entanglement entropy, which appears consistent with that
based on the localization length. Slow dynamics characterized by a logarithmic
time-dependence is explicitly shown for both the particle number entropy and
the configuration entropy in an intermediate regime of their time-evolutions,
which does not show up in the Anderson localization case, i.e. non-interacting
disorder systems.

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The categories of this paper are: hep-th
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con