Polarization-dependent neutral atom trapping potentials of 2D optical lattices on a chip

We present the results of our computational investigation of atom trapping potentials in different two-dimensional (2D) optical lattice geometries for neutral atoms in magnetic substates other than m$_{F }$= 0. The geometries we tested include the basic 2D optical lattice presented in [1], as well as variations of these lattices involving a counterpropagating beam pair along one dimension, and a lattice with variable trap spacing along one dimension. The 2D optical lattices are created by interference of the evanescent waves of two or more different modes in a slab waveguide. The main focus of our study is on identifying waveguide and trap light parameters that may allow for the implementation of 2-qubit gates using 2D optical lattices. 1. Phys. Rev. A 70 032302 (2004).