Xie Qiongtao, Hai Wenhua, Chong Guishu
Department of Physics, Hunan Normal University, ChangSha 410081, People's Republic of China.
Chaos. 2003 Sep;13(3):801-5. doi: 10.1063/1.1578971.
The chaotic coherent atomic tunneling between two periodically driven and weakly coupled Bose-Einstein condensates has been investigated. The perturbed correction to the homoclinic orbit is constructed and its boundedness conditions are established that contain the Melnikov criterion for the onset of chaos. We analytically reveal that the chaotic coherent atomic tunneling is deterministic but not predictable. Our numerical calculation shows good agreement with the analytical result and exhibits nonphysically numerical instability. By adjusting the initial conditions, we propose a method to control the unboundedness, which leads the quantum coherent atomic tunneling to predictable periodical oscillation.
研究了两个周期驱动且弱耦合的玻色 - 爱因斯坦凝聚体之间的混沌相干原子隧穿。构建了同宿轨道的微扰修正，并建立了其有界性条件，其中包含混沌起始的梅尔尼科夫准则。我们通过分析揭示了混沌相干原子隧穿是确定性的但不可预测。我们的数值计算与分析结果显示出良好的一致性，并表现出非物理的数值不稳定性。通过调整初始条件，我们提出了一种控制无界性的方法，该方法使量子相干原子隧穿转变为可预测的周期性振荡。
