量子相空间中对称受驱双势阱系统的量子隧穿动力过程

摘要

We study quantum dynamical tunneling process in symmetrical driven double well system using entan-gled trajectory molecular dynamics method. We discuss tunneling dynamics dependence on the amplitude and frequency of the driven force. Both resonant and non-resonant tunneling processes are enhanced by the chaotic behavior of entangled trajectories. On the other hand, quantum tunneling process has been visually shown by presenting entangled trajectory in phase space compared to the corresponding classical trajectory with same initial state. The evolution of uncertainly product and autocorrelation function are discussed in the end.%本文以纠缠轨线分子动力学方法研究对称受驱双势阱系统的量子隧穿动力学过程.驱动力的幅度和频率改变将对量子隧穿动力学过程产生巨大的影响,这为人们自主控制这一重要的过程提供理论基础.当体系的经典动力学呈现混沌状态时,它的量子动力学过程将发生显著的变化.在强驱动力作用下,双势阱系统的量子共振频率隧穿和非共振频率隧穿因为混沌行为的出现明显增强.通过对比相空间中具有相同初始态的纠缠轨线和经典轨线演化,我们给出量子隧穿过程清晰的物理图像.最后,我们讨论量子隧穿动力学过程中体系不确定度的演化和反映波包动力学过程的自关联函数演化.