运动光格玻色爱因斯坦凝聚体的混沌同步

J4 ›› 2012, Vol. 50 ›› Issue (4): 779-784.

运动光格玻色爱因斯坦凝聚体的混沌同步

张志颖, 冯秀琴, 姚治海, 贾洪洋, 田作林

长春理工大学理学院, 长春 130022

收稿日期:2012-03-01 出版日期:2012-07-01 发布日期:2012-09-07
通讯作者: 姚治海 E-mail:yaozh@cust.edu.cn

Chaotic Synchronization of Bose\|Einstein Condensed Body
in Moving Optical Lattices

ZHANG Zhiying, FENG Xiuqin, YAO Zhihai, JIA Hongyang, TIAN Zuolin

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

Received:2012-03-01 Online:2012-07-01 Published:2012-09-07
Contact: YAO Zhihai E-mail:yaozh@cust.edu.cn

摘要/Abstract

摘要：

针对运动光格玻色爱因斯坦凝聚体的非线性特征, 基于Lyapunov稳定性理论, 结合正弦耦合混沌同步方法, 实现了运动光格玻色爱因斯坦凝聚体的混沌同步. 通过理论分析和数值计算证明了正弦耦合混沌同步方法的有效性, 并分别实现了单变量耦合和双变量正弦耦合的混沌同步. 通过数值计算确定了能实现混沌同步的参数范围, 并证明双变量耦合比单变量耦合实现混沌同步快, 仅需要较小的耦合系数即可达到混沌同步, 给出了同步时间和耦合系数之间的关系.

关键词: 玻色爱因斯坦凝聚, 正弦耦合, 混沌同步, Lyapunov稳定理论

Abstract:

Based on the nonlinear characteristics of BoseEinstein condensed body in moving optical lattices and Lyapunov stability theory, and the combination with the sine coupling chaotic synchronization method, chaotic synchronization of Einstein condensed body in moving optical lattices was realized. With the help of theoretical analysis and numerical calculation, the authors proved the effectiveness of the method on the sine coupling chaotic synchronization and respectively realized the chaotic synchronization of the single variable coupling and double variable coupling. On the basis of the numerical calculation to determine the parameters range in which the chaotic synchronization can be realized, we proved that chaotic synchronization double variable coupling is faster than single variable coupling and small coupling coefficient can achieve chaotic synchronization. We also analysed the relationship between the synchronization time and the coupling coefficient.

Key words: BoseEinstein condensate, sine coupling, chaos synchronization, Lyapunov stability theory

中图分类号:

O415.5

张志颖, 冯秀琴, 姚治海, 贾洪洋, 田作林. 运动光格玻色爱因斯坦凝聚体的混沌同步[J]. J4, 2012, 50(4): 779-784.

ZHANG Zhiying, FENG Xiuqin, YAO Zhihai, JIA Hongyang, TIAN Zuolin. Chaotic Synchronization of Bose\|Einstein Condensed Body
in Moving Optical Lattices[J]. J4, 2012, 50(4): 779-784.

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