Quantum calculations of spin-1 squeezing at finite magnetic field

We investigate spin mixing in a finite magnetic field theoretically using numerical integration of Fock states for a tri-diagonal Hamiltonian as well as the Q-representation of the coherent (mean-field) states. We identify approximate SU(2) subspaces of the SU(3) system and compare them to previous theoretical work. We also compare the results of this simulation to recent experimental measurements.