Extreme Spin Squeezing Beyond Spin-1/2 Ensembles

We consider a protocol for squeezing the collective spin of a cold atomic ensemble through coherent control of the spin and light-polarization interactions. By retro-reflecting a short pulse of light through the ensemble followed by a quantum eraser and phase matching, we achieve exponential scaling of the squeezing with optical density. We show how these results can be extended using state preparation and mapping techniques for s>1/2 systems, and extend our model of photon-atom scattering to account for decoherence in the higher dimensional case.