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 : 159 | Download : 170

Publication Date : 2023-09-01

Article Type : Research Article

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