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Presented is a study of a spin-2 Bose-Einstein condensate (BEC) by unitaryquantum simulations of time-dependent soliton-soliton scattering. The quantumsimulation method is based on a quantum lattice algorithm which is designed forimplementation on a future digital quantum computer but is tested today using aparallel computing architecture based on graphical processing units (GPUs). Weanalytically solve the spin-2 BEC equations of motion, a nonlinear system of 5coupled Gross-Pitiaevskii (GP) equations, in one- and two-spatial dimensions.In 1D there are 16 bright soliton and 16 dark soliton solutions. In 2D thereare 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 theimplementation the unitary quantum lattice gas algorithm for spinor superfluidand establish its efficacy by validating the stability of the 1D and 2D energyeigenstate solutions of the spin-2 BEC Hamiltonian. Using the calibratedquantum lattice gas algorithm, the highly nonlinear physics in thenonintegrable regime of the spin-2 BEC is studied by performing soliton-solitonscattering experiments. The scattering of topological solitons producesbreathers and complex quantum vortices characterized by local entanglementacross multiple m_f-hyperfine states of the Zeeman manifold.

Spin-2 BEC spinor superfluid soliton-soliton scattering in one and two space dimensions