Two Algorithms for Numerical Simulation of Counter Propagating Matter Waves In Optical Lattices

摘要

In this paper a combined algorithm for simulation of counter propagating matter waves in optical lattices is presented. The mathematical model is based on an adaptation of a similar steady state model previously used for beams propagation in photonic lattices. Using the same mathematical model we developed two different algorithms. The first one is focused on calculation speed and calculation of the final result. The second implementation is used to show the evolution of this process during propagation. We show shortcomings of each approach and advantages of their combined use.