Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin-2 BEC spinor superfluid soliton-soliton scattering in one and two
  space dimensions   Presented is a study of a spin-2 Bose-Einstein condensate (BEC) by unitary
quantum simulations of time-dependent soliton-soliton scattering. The quantum
simulation method is based on a quantum lattice algorithm which is designed for
implementation on a future digital quantum computer but is tested today using a
parallel computing architecture based on graphical processing units (GPUs). We
analytically solve the spin-2 BEC equations of motion, a nonlinear system of 5
coupled Gross-Pitiaevskii (GP) equations, in one- and two-spatial dimensions.
In 1D there are 16 bright soliton and 16 dark soliton solutions. In 2D there
are 3 dark soliton solutions Pade approximation solutions, for m_f=+/-2,
m_f=+/-1 and m_f=0, corresponding to quantum vortices. We report on the
implementation the unitary quantum lattice gas algorithm for spinor superfluid
and establish its efficacy by validating the stability of the 1D and 2D energy
eigenstate solutions of the spin-2 BEC Hamiltonian. Using the calibrated
quantum lattice gas algorithm, the highly nonlinear physics in the
nonintegrable regime of the spin-2 BEC is studied by performing soliton-soliton
scattering experiments. The scattering of topological solitons produces
breathers and complex quantum vortices characterized by local entanglement
across multiple m_f-hyperfine states of the Zeeman manifold.

16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org