Raka Jovanovic, Texas A&M University at Qatar

KAUST-IAMCS Workshop on Multiscale Modeling, Advanced Discretization Techniques, and Simulation of Wave Propagation

May 7-8, 2011

King Abdullah University of Science and Technology (KAUST)

Thuwal, Kingdom of Saudi Arabia

Two Approaches to Numerical Simulation of Counter Propagating Matter Waves In Optical Lattices

We present a combined algorithm for simulation of counter propagating matter waves in optical lattices. 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.