Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ground state properties of ultracold trapped bosons with an immersed
  ionic impurity   We consider a trapped atomic ensemble of interacting bosons in the presence
of a single trapped ion in a quasi one dimensional geometry. Our study is
carried out by means of the newly developed multilayer-multiconfiguration
time-dependent Hartree method for bosons, a numerical exact approach to
simulate quantum many-body dynamics. In particular, we are interested in the
scenario by which the ion is so strongly trapped that its motion can be
effectively neglected. This enables us to focus on the atomic ensemble only.
With the development of a model potential for the atom-ion interaction, we are
able to numerically obtain the exact many-body ground state of the atomic
ensemble in the presence of an ion. We analyse the influence of the atom number
and the atom-atom interaction on the ground state properties. Interestingly,
for weakly interacting atoms, we find that the ion impedes the transition from
the ideal gas behaviour to the Thomas-Fermi limit. Furthermore, we show that
this effect can be exploited to infer the presence of the ion both in the
momentum distribution of the atomic cloud and by observing the interference
fringes occurring during an expansion of the quantum gas. In the strong
interacting regime, the ion modifies the fragmentation process in dependence of
the atom number parity which allows a clear identification of the latter in
expansion experiments. Hence, we propose in both regimes experimentally viable
strategies to assess the impact of the ion on the many-body state of the atomic
gas. This study serves as the first building block for systematically
investigate many-body physics of such hybrid system.

35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph