In some aspects, polarization of a spin ensemble can be increased using cavity-based techniques. A cavity is coupled with a spin ensemble, and a drive field generates an interaction between the cavity and the spin ensemble. In some cases, the interaction increases the polarization of the spin ensemble faster than the thermal (T1) relaxation process or any other thermal polarizing process affecting the spin ensemble. In some cases, polarization is increased by iteratively acting on angular momentum subspaces of the spin ensemble, and mixing the angular momentum subspaces, for example, by a dipolar interaction, a transverse (T2) relaxation process, application of a gradient field, or a combination of these and other processes.