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

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

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.

Keywords: Bose-Einstein condensate linear coupling chaos synchronization Lyapunov stability theory

Received: 16 April 2015
Revised: 06 July 2015
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	05.45.Pq	(Numerical simulations of chaotic systems)
	67.85.Hj	(Bose-Einstein condensates in optical potentials)

Fund: 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).

Corresponding Authors: Feng Xiu-Qin
E-mail: fengxq@cust.edu.cn

Cite this article:

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 2015 Chin. Phys. B 24 110503

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

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