Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonergodic dynamics of the one-dimensional Bose-Hubbard model with a
  trapping potential   We investigate nonergodic behavior of the one-dimensional Bose-Hubbard model,
which emerges in the unitary quantum dynamics starting with initial-state
$|\psi(0)\rangle=|\cdots 2020\cdots \rangle$ in the presence of a trapping
potential. We compute the level spacing statistic, the time evolution of the
number imbalance between the odd and the even sites, and the entanglement
entropy in order to show that the system exhibits nonergodicity in a strongly
interacting regime. The trapping potential enhances nonergodicity even when the
trapping potential is weak compared to the the hopping energy. We derive the
effective spin-1/2 {\it XXZ} Hamiltonian for the strongly interacting regimes
by using a perturbation method. On the basis of the effective Hamiltonian, we
show that the trapping potential is effectively strengthened by the on-site
interaction, leading to the enhancement of the nonergodic behavior. We also
calculate the real-time dynamics under the effective Hamiltonian and find that
the entanglement entropy grows logarithmically in time.

21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol