A realistic Hamiltonian for the bosonic Moore-Read Pfaffian state at ν =1

The fermionic fractional quantum Hall effect at filling factor 5/2, thought to support non-Abelian low-energy excitations, is experimentally challenging but sought after for the possibility of harnessing these quasi-particle excitations with fractional braiding statistics for quantum information processing applications. Alternatively, bosonic fractional quantum Hall states have been proposed in a variety of realistic physical systems. Via exact diagonalization, we numerically investigate a two-body model Hamiltonian derived from the three-body Hamiltonian that produces the Moore-Read Pfaffian as its zero-energy ground state for bosons at ν=1 in the spherical geometry (similar to the method used for the fermionic Moore-Read Pfaffian state). We fully characterize this realistic(two-body) Hamiltonian in terms of Haldane pseudopotentials and demonstrate that the ground state supports robust non-Abelian excitations and is adiabatically connected to low-energy spectrum of the three-body Hamiltonian that generates the boson Moore-Read Pfaffian state.