Atom-cavity interaction for spin squeezing and entanglement generation*

The strong interaction between atoms and photons provided by an optical cavity can be used for deterministic or heralded generation of entanglement in the atomic or light degrees of freedom. I will report on cavity-induced spin squeezing in an optical-transition clock, and on progress towards coupling arrays of individually trapped atoms to photons in the cavity. The high detection rate of the cavity also enables the real-time observation of collisions between individual atoms.