arXiv 0904.33762009-04cond-mat.quant-gas

具有二体和三体相互作用的光晶格中玻色-爱因斯坦凝聚体的稳定性和混沌行为

Stability and chaotic behavior of Bose-Einstein condensates in optical lattices with two- and three-body interactions

Yan Chen, Ke-Zhi Zhang, Yong Chen

备注：: 11 pages, 6 figures
DOI：: 10.1088/0953-4075/42/18/185302

摘要：

用解析和数值方法讨论了光晶格中具有两原子和三原子相互作用的玻色-爱因斯坦凝聚体的稳定性和混沌行为。研究发现，当系统参数变化到某一临界值时，稳态相对种群出现音叉分岔。特别是三体相互作用的存在不仅改变了系统的分岔点，而且对系统的宏观量子自陷行为有很大的影响.此外，我们还研究了初始条件、三体相互作用和能量偏置对宏观量子自陷的影响。最后，通过对能量偏置进行周期调制，我们发现相对布居振荡通过一系列倍周期分岔，呈现出从有序到混沌的过程。

英文摘要：

The stability and chaotic behaviors of Bose-Einstein condensates with two- and three-atom interactions in optical lattices are discussed with analytical and numerical methods. It is found that the steady-state relative population appears tuning-fork bifurcation when the system parameters are changed to certain critical values. In particular, the existence of three-body interaction not only transforms the bifurcation point of the system but also affects greatly on the macroscopic quantum self-trapping behaviors of the system associated with the critically stable steady-state solution. In addition, we also investigated the influence of the initial conditions, three-body interaction and the energy bias on the macroscopic quantum self-trapping. Finally, by applying the periodic modulation on the energy bias, we find that the relative population oscillation exhibits a process from order to chaos, via a series of period-doubling bifurcations.

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英文摘要：

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