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

Raka Jovanovic; Milivoj Belic; Milan Tuba; Dragana Jovic; Slobodan Prvanovic; Aleksandra Strinic

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

Raka Jovanovic, Milivoj Belic, Milan Tuba, Dragana Jovic, Slobodan Prvanovic, Aleksandra Strinic

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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.

Original language	English
Number of pages	5
Journal	RECENT ADVANCES in APPLIED MATHEMATICS
Publication status	Published - Jan 2010
Externally published	Yes

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Jovanovic, R., Belic, M., Tuba, M., Jovic, D., Prvanovic, S., & Strinic, A. (2010). Two algorithms for numerical simulation of counter propagating matter waves in optical lattices. RECENT ADVANCES in APPLIED MATHEMATICS. https://scholar.google.com/citations?view_op=view_citation&hl=en&user=wpDJ5t4AAAAJ&cstart=100&pagesize=100&citation_for_view=wpDJ5t4AAAAJ:LkGwnXOMwfcC

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title = "Two algorithms for numerical simulation of counter propagating matter waves in optical lattices",

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.",

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T1 - Two algorithms for numerical simulation of counter propagating matter waves in optical lattices

AU - Jovanovic, Raka

AU - Belic, Milivoj

AU - Tuba, Milan

AU - Jovic, Dragana

AU - Prvanovic, Slobodan

AU - Strinic, Aleksandra

PY - 2010/1

Y1 - 2010/1

N2 - 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.

AB - 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.

M3 - Article

JO - RECENT ADVANCES in APPLIED MATHEMATICS

JF - RECENT ADVANCES in APPLIED MATHEMATICS

ER -

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

Abstract

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