Generating multiparticle entangled states by self-organization of driven ultracold atoms

We study a methodology for guiding the dynamical evolution of ultracold atomic motional degrees of freedom towards multiparticle entangled Dicke-like states, via nonlinear self-organization under external driving. Two examples of nonlinear many-body models are investigated. In the first model the external drive is a temporally oscillating magnetic field, leading to self-organization by interatomic scattering. In the second model the drive is a pump laser, leading to self-organization by photon-atom scattering in a ring cavity. We demonstrate highly efficient generation of multiparticle entangled states of atomic motion and discuss prospective experimental realizations of the models. Our results highlight the potential for using self-organization of atomic motion in quantum technological applications.