Master-slave synchronization of Bose-Einstein condensate in 1D tilted bichromatical optical lattice

Abstract

This paper investigates the synchronization of chaotic behavior in a model of Bose-Einstein condensate (BEC) held in a 1D tilted bichromatical optical lattice potential by using the active control technique. The synchronization is presented in the master-slave configuration which implies that the master system evolves freely and drives the dynamics of the slave system. Also the numerical simulations are given to indicate the practicability and the effectiveness of the used controllers.

Keywords

• synchronization
• bose-einstein condensate
• gross-pitaevskii equation
• optical lattice potential