Chaotic synchronization in Bose–Einstein condensate of moving optical lattices via linear coupling

doi:10.1088/1674-1056/24/11/110503

中国物理B ›› 2015, Vol. 24 ›› Issue (11): 110503-110503.doi: 10.1088/1674-1056/24/11/110503

Chaotic synchronization in Bose–Einstein condensate of moving optical lattices via linear coupling

张志颖, 冯秀琴, 姚治海, 贾洪洋

School of Science, Changchun University of Science and Technology, Changchun 130022, China

收稿日期:2015-04-16 修回日期:2015-07-06 出版日期:2015-11-05 发布日期:2015-11-05
通讯作者: Feng Xiu-Qin E-mail:fengxq@cust.edu.cn
基金资助:
Project supported by the Industrial Technology Research and Development Special Project of Jilin Province, China (Grant No. 2013C46) and the Natural Science Foundation of Jilin Province, China (Grant No. 20101510).

Chaotic synchronization in Bose–Einstein condensate of moving optical lattices via linear coupling

Zhang Zhi-Ying (张志颖), Feng Xiu-Qin (冯秀琴), Yao Zhi-Hai (姚治海), Jia Hong-Yang (贾洪洋)

School of Science, Changchun University of Science and Technology, Changchun 130022, China

Received:2015-04-16 Revised:2015-07-06 Online:2015-11-05 Published:2015-11-05
Contact: Feng Xiu-Qin E-mail:fengxq@cust.edu.cn
Supported by:
Project supported by the Industrial Technology Research and Development Special Project of Jilin Province, China (Grant No. 2013C46) and the Natural Science Foundation of Jilin Province, China (Grant No. 20101510).

摘要/Abstract

摘要： A systematic study of the chaotic synchronization of Bose-Einstein condensed body is performed using linear coupling method based on Lyapunov stability theory, Sylvester’s criterion, and Gerschgorin disc theorem. The chaotic synchronization of Bose-Einstein condensed body in moving optical lattices is realized by linear coupling. The relationship between the synchronization time and coupling coefficient is obtained. Both the single-variable coupling and double-variable coupling are effective. The results of numerical calculation prove that the chaotic synchronization of double-variable coupling is faster than that of single-variable coupling and small coupling coefficient can achieve the chaotic synchronization. Weak noise has little influence on synchronization effect, so the linear coupling technology is suitable for the chaotic synchronization of Bose-Einstein condensate.

关键词: Bose-Einstein condensate, linear coupling, chaos synchronization, Lyapunov stability theory

Abstract: A systematic study of the chaotic synchronization of Bose-Einstein condensed body is performed using linear coupling method based on Lyapunov stability theory, Sylvester’s criterion, and Gerschgorin disc theorem. The chaotic synchronization of Bose-Einstein condensed body in moving optical lattices is realized by linear coupling. The relationship between the synchronization time and coupling coefficient is obtained. Both the single-variable coupling and double-variable coupling are effective. The results of numerical calculation prove that the chaotic synchronization of double-variable coupling is faster than that of single-variable coupling and small coupling coefficient can achieve the chaotic synchronization. Weak noise has little influence on synchronization effect, so the linear coupling technology is suitable for the chaotic synchronization of Bose-Einstein condensate.

Key words: Bose-Einstein condensate, linear coupling, chaos synchronization, Lyapunov stability theory

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Pq (Numerical simulations of chaotic systems) 67.85.Hj (Bose-Einstein condensates in optical potentials)

张志颖, 冯秀琴, 姚治海, 贾洪洋. Chaotic synchronization in Bose–Einstein condensate of moving optical lattices via linear coupling[J]. 中国物理B, 2015, 24(11): 110503-110503.

Zhang Zhi-Ying (张志颖), Feng Xiu-Qin (冯秀琴), Yao Zhi-Hai (姚治海), Jia Hong-Yang (贾洪洋). Chaotic synchronization in Bose–Einstein condensate of moving optical lattices via linear coupling[J]. Chin. Phys. B, 2015, 24(11): 110503-110503.

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Chaotic synchronization in Bose–Einstein condensate of moving optical lattices via linear coupling

Chaotic synchronization in Bose–Einstein condensate of moving optical lattices via linear coupling

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