Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Harmonically trapped two-atom systems: Interplay of short-range s-wave
  interaction and spin-orbit coupling   The coupling between the spin degrees of freedom and the orbital angular
momentum has a profound effect on the properties of nuclei, atoms and condensed
matter systems. Recently, synthetic gauge fields have been realized
experimentally in neutral cold atom systems, giving rise to a spin-orbit
coupling term with "strength" $k_{\text{so}}$. This paper investigates the
interplay between the single-particle spin-orbit coupling term of Rashba type
and the short-range two-body $s$-wave interaction for cold atoms under external
confinement. Specifically, we consider two different harmonically trapped
two-atom systems. The first system consists of an atom with spin-orbit coupling
that interacts with a structureless particle through a short-range two-body
potential. The second system consists of two atoms that both feel the
spin-orbit coupling term and that interact through a short-range two-body
potential. Treating the spin-orbit term perturbatively, we determine the
correction to the ground state energy for various generic parameter
combinations. Selected excited states are also treated. An important aspect of
our study is that the perturbative treatment is not limited to small $s$-wave
scattering lengths but provides insights into the system behavior over a wide
range of scattering lengths, including the strongly-interacting unitary regime.
Our perturbative results are confirmed by numerical calculations that expand
the eigenfunctions of the two-particle Hamiltonian in terms of basis functions
that contain explicitly correlated Gaussians.

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The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
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The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga