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

Authors : Eren TOSYALI, Fatma AYDOĞMUŞ

Pages : 1369-1380

Doi:10.35378/gujs.957499

View : 165 | Download : 173

Publication Date : 2023-09-01

Article Type : Research Paper

Abstract :This paper will focus on theoretical treatment of the dynamic of the Bose-Einstein Condensate insert ignore into journalissuearticles values(BEC); systems contained different external trapping potentials. We construct the phase space diagrams and Lyapunov Characteristic Exponents insert ignore into journalissuearticles values(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