Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin-orbit coupled bosons interacting in a two-dimensional harmonic trap   A system of bosons in a two-dimensional harmonic trap in the presence of
Rashba-type spin-orbit coupling is investigated. An analytic treatment of the
ground state of a single atom in the weak-coupling regime is presented and used
as a basis for a perturbation theory in the interacting two-boson system. The
numerical diagonalization of both the single-particle and the two-boson
Hamiltonian matrices allows us to go beyond those approximations and obtain not
only the ground state, but also the low-energy spectra and the different energy
contributions separately. We show that the expectation value of the spin-orbit
term is related to the expectation value of $\hat{\sigma}_z \hat{L}_z$ for the
eigenstates of the system, regardless of the trapping potential. The low-energy
states of the repulsively interacting two-boson system are characterized. With
the presence of a sufficiently strong interaction and spin-orbit coupling
strength, there is a direct energy-level crossing in the ground state of the
system between states of different $J_z$, the third component of the total
angular momentum, that changes its structure. This is reflected in a
discontinuity in the different energy terms and it is signaled in the spatial
density of the system.

18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol