Proposal for loading hydrogen into a magic wavelength optical lattice*

We propose a method for loading hydrogen into a magic wavelength optical lattice.  We first consider hydrogen atoms from a cryogenic atomic beam which interact with 243 nm radiation as they pass through an optical lattice potential. We find that only a single scattering event on the 1S-2S transition can remove enough kinetic energy to trap hydrogen in the lattice. To model this, we use a Monte Carlo method to simulate atomic trajectories and the stochastic nature of spontaneous absorption and emission.  We also investigate techniques to mitigate photoionization losses and determine the total number of hydrogen atoms we can load into the optical lattice within a given loading period.