Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lattice bosons in a quasi-disordered environment: The effects of
  next-nearest-neighbor hopping on localization and Bose-Einstein condensation   We present a theoretical study of the effects of the next-nearest-neighbor
(NNN) hopping ($t_2$) on the properties of non-interacting bosons in optical
lattices in the presence of an Aubry-Andr\'{e} quasi-disorder. First we
investigate, employing exact diagonalization, the effects of $t_2$ on the
localization properties of a single boson. The localization is monitored using
an entanglement measure as well as with inverse participation ratio. We find
that the sign of $t_2$ has a significant influence on the localization effects.
We also provide analytical results in support of the trends found in the
localization behavior. Further, we extend these results including the effects
of a harmonic potential which obtains in experiments. Next, we study the
effects of $t_2$ on Bose-Einstein condensation. We find that, a positive $t_2$
strongly enhances the low temperature thermal depletion of the condensate while
a negative $t_2$ reduces it. It is also found that, for a fixed temperature,
increasing the quasi-disorder strength reduces the condensate fraction in the
extended regime while enhancing it in the localized regime. We also investigate
the effects of boundary conditions and that of the phase of the AA potential on
the condensate. These are found to have significant effects on the condensate
fraction in the localization transition region.

12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat