Two algorithms for numerical simulation of counter propagating matter waves in optical lattices

Authors:
Raka Jovanovic;Dragana Jovic;Slobodan Prvanovic;Aleksandra Strinic;Milivoj Belic;Milan Tuba
Affiliations:
Texas AM University At Qatar, Doha, Qatar and Institute of Physics Belgrade, Zemun, Serbia;Texas AM University At Qatar, Doha, Qatar and Institute of Physics Belgrade, Zemun, Serbia;Institute of Physics Belgrade, Zemun, Serbia;Institute of Physics Belgrade, Zemun, Serbia;Texas AM University At Qatar, Doha, Qatar;Faculty of Computer Science, Megatrend University Belgrade, Serbia
Venue:
AMERICAN-MATH'10 Proceedings of the 2010 American conference on Applied mathematics
Year:
2010

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Abstract

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.