Control of spinor dynamics in an anti-ferromagnetic F=1 Bose-Einstein condensate

Spin-exchange collisions driving coherent population oscillations of the $F=1$ ground state magnetic sublevels can be used for precision quantum measurements in a condensed Bose gas. Entanglement generated by these dynamics enables below standard quantum limit phase estimation by way of an SU(1,1) interferometer and antiferromagnetic spin-nematic squeezing. In order to observe these effects, we have simulated the spinor dynamics in the single mode approximation with both fully quantum and semi-classical models. We present a study of microwave pulse sequences, which can be used to control the spinor dynamics via energy level shifts and rotations, and discuss improved methods for future experiments in this field.