Synchronization Analysis of a Master-Slave BEC System via Active Control

Year 2023, Volume: 36 Issue: 3, 1369 - 1380, 01.09.2023

Eren Tosyalı , Fatma Aydoğmuş

https://doi.org/10.35378/gujs.957499

Abstract

This paper will focus on theoretical treatment of the dynamic of the Bose-Einstein Condensate (BEC) systems contained different external trapping potentials. We construct the phase space diagrams and Lyapunov Characteristic Exponents (LCEs) for master and slave systems depended on the system parameters and propose a nonlinear control for the synchronization of systems in their chaotic states. The synchronization is obtained in master-slave scheme for different initial values. Numerical results are also given to show the efficiency of the used control technique. 

Keywords

Bose-Einstein condensate, Gross-Pitaevskii equation, Synchronization, Optical lattice potential

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