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Controlling Chaotic Behavior in a Bose-Einstein Condensate with Linear Feedback
Authors:WANG Zhi-Xia  ZHANG Xi-He  SHEN Ke
Institution:1. Department of Physics, Changchun University of Science and Technology, Changchun 130022, China ;2. Aviation University of Air Force, Changchun 130022, China
Abstract:The spatial structure of a Bose-Einstein condensate (BEC) loaded into an optical lattice potential is investigated and the spatially chaotic distributions of the condensates are revealed. A method of chaos control with linear feedback is presented in this paper. By using the method, we propose a scheme of controlling chaotic behavior in a BEC with atomic mirrors. The results of the computer simulation show that controlling the chaos into the stable states could be realized by adjusting the coefficient of feedback only if the maximum Lyapunov exponent of the system is negative.
Keywords:controlling chaos  BEC  linear feedback  Lyapunov exponent                                                                                                                                                
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