Real-time imaging of spinor dynamics in $^{87}$Rb Bose Einstein Condensates

We investigate spinor dynamics in a F=1 ferromagnetic $^{87}$Rb Bose Einstein Condensate, measured in real time. Previous work has used single-shot absorption imaging to determine the ferromagnetic nature of $^{87}$Rb. In contrast, we probe the system using non-destructive polarization-sensitive imaging, allowing us to spatially resolve and characterize both the longitudinal and transverse magnetization of a spinor wavefunction. Recent progress toward observation of spontaneous magnetization will be reported.