| Dynamics in Two Periodically Driven and Weakly Coupled Bose-Einstein Condensates |
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| 作者姓名： | 陈付广 黄德斌 郭荣伟 |
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| 作者单位： | DepartmentofMathematics,CollegeofSciences,ShanghaiUniversity,Shanghai200444,P.R.China |
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| 摘 要： | In this paper, dynamics in the oscillations of the relative atomic population in two periodically driven and weakly coupled Bose-Einstein eondensates (BECs) was qualitatively studied. Using the well-known Melnikov method, the conditions of existence of the periodic and chaotic coherent atomic tunnellings were given in the model. Our results indicate the typical route from bifurcation of the limited circles to chaos, and are in agreement with the previous numerical results.
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| 关 键 词： | 爱因斯坦撞击 相对论 冷凝物 Melnikov法 周期轨迹 混沌理论 |
| 收稿时间： | 13 November 2003 |
Dynamics in two periodically driven and weakly coupled bose-instein condensates |
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| Chen?Fu-guang,Huang?De-bin,Guo?Rong-wei.Dynamics in Two Periodically Driven and Weakly Coupled Bose-Einstein Condensates[J].Journal of Shanghai University(English Edition),2005,9(3):224-228. |
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| Authors: | Chen Fu-guang Huang De-bin Guo Rong-wei |
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| Institution: | (1) Department of Mathematics, College of Sciences, Shanghai University, 200444 Shanghai, P.R. China |
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| Abstract: | In this paper, dynamics in the oscillations of the relative atomic population in two periodically driven and weakly coupled
Bose-Einstein condensates (BECs) was qualitatively studied. Using the well-known Melnikov method, the conditions of existence
of the periodic and chaotic coherent atomic tunnellings were given in the model. Our results indicate the typical route from
bifurcation of the limited circles to chaos, and are in agreement with the previous numerical results.
Project supported by the Mathematics Tianyuan Fund of the National Natural Science Foundation (Grant No. TY1012602) and Hie
National Natural Science Foundation of China (Grant No. 10201020) |
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| Keywords: | Bose-Einstein condensates (BECs) melnikov method periodic orbit chaos |
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