Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Impurity in a Bose-Einstein condensate: study of the attractive and
  repulsive branch using quantum Monte-Carlo methods   We investigate the properties of an impurity immersed in a dilute Bose gas at
zero temperature using quantum Monte-Carlo methods. The interactions between
bosons are modeled by a hard sphere potential with scattering length $a$,
whereas the interactions between the impurity and the bosons are modeled by a
short-range, square-well potential where both the sign and the strength of the
scattering length $b$ can be varied by adjusting the well depth. We
characterize the attractive and the repulsive polaron branch by calculating the
binding energy and the effective mass of the impurity. Furthermore, we
investigate structural properties of the bath, such as the impurity-boson
contact parameter and the change of the density profile around the impurity. At
the unitary limit of the impurity-boson interaction, we find that the effective
mass of the impurity remains smaller than twice its bare mass, while the
binding energy scales with $\hbar^2n^{2/3}/m$, where $n$ is the density of the
bath and $m$ is the common mass of the impurity and the bosons in the bath. The
implications for the phase diagram of binary Bose-Bose mixtures at small
concentrations are also discussed.

27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con