We develop an effective field theory (EFT) to describe the few- and many-body propagation of one dimensional Rydberg polaritons. We show that the photonic transmission through the Rydberg medium can be found by mapping the propagation problem to a non-equilibrium quench, where the role of time and space are reversed. We include effective range corrections in the EFT and show that they dominate the dynamics near scattering resonances in the presence of deep bound states. Finally, we show how the long-range nature of the Rydberg-Rydberg interactions induces strong effective N-body interactions between Rydberg polaritons. These results pave the way towards studying non-perturbative effects in quantum field theories using Rydberg polaritons.

We have measured the total collisional loss rate for ultracold sodium atoms held in a magneto-optical trap (MOT) as a function of light intensity in the trap. We extract the rate constant for collisional loss by measuring the temporal behavior of MOT loading from background vapor. The loss rate increases with light intensity in satisfactory agreement with new calculations, which are also presented. The results are interpreted in terms of detailed collision processes.PACS number(s): 32.80.Pj

Optical lattices are typically created via the ac-Stark shift, which are limited by diffraction to periodicities ≥ λ/2, where λ is the wavelength of light used to create them. Lattices with smaller periodicities may be useful for many-body physics with cold atoms and can be generated by stroboscopic application of a phase-shifted lattice with subwavelength features. Here we demonstrate a λ/4-spaced lattice by stroboscopically applying optical Kronig-Penney(KP)-like potentials which are generated using spatially dependent dark states. We directly probe the periodicity of the λ/4spaced lattice by measuring the average probability density of the atoms loaded into the ground band of the lattice. We measure lifetimes of atoms in this lattice and discuss the mechanisms that limit the applicability of this stroboscopic approach.