Josephson oscillation and transition to self-trapping for bose-Einstein condensates in a triple-well trap
Josephson oscillation and transition to self-trapping for bose-Einstein condensates in a triple-well trap
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DOI：
10.1103/physreva.75.033601
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发表时间：
2006-10
影响因子：
2.9
通讯作者：
Bin Liu;L. Fu;Shi-ping Yang;Jie Liu
中科院分区：
文献类型：
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作者：
Bin Liu;L. Fu;Shi-ping Yang;Jie Liu
在平均场处理的框架下，我们研究了对称和倾斜三阱阱中玻色-爱因斯坦凝聚（BEC）的隧穿动力学。当原子间相互作用较大时，本征能量随倾斜威尔斯阱零点能差的变化呈现出明显的纠缠星星结构。然后，我们实现洞察到相应的本征态周围的振荡解决方案，并观察到几种新类型的约瑟夫森振荡。随着原子间相互作用的增加，约瑟夫森型振荡被阻断，出现自陷解。凝析油在单井或双威尔斯井中均能自捕集，但在相变点附近没有观测到标度律。特别是，我们发现，从约瑟夫森型振荡的自陷的过渡是伴随着一些不规则的制度，隧道动力学是由混沌为主。上述分析是方便的帮助下，庞加莱截面的方法，可视化的运动BEC在一个约化的相平面。
We investigate the tunneling dynamics of Bose-Einstein condensates (BECs) in a symmetric as well as in a tilted triple-well trap within the framework of mean-field treatment. The eigenenergies as the functions of the zero-point energy difference between the tilted wells show a striking entangled star structure when the atomic interaction is large. We then achieve insight into the oscillation solutions around the corresponding eigenstates and observe several new types of Josephson oscillations. With increasing the atomic interaction, the Josephson-type oscillation is blocked and the self-trapping solution emerges. The condensates are self-trapped either in one well or in two wells but no scaling law is observed near transition points. In particular, we find that the transition from the Josephson-type oscillation to the self-trapping is accompanied with some irregular regime where tunneling dynamics is dominated by chaos. The above analysis is facilitated with the help of the Poincare section method that visualizes the motions of BECs in a reduced phase plane.