Quantum tunneling in a periodically driven double well system: Entangled trajectory molecular dynamics method

Quantum tunneling in a periodically driven double well system: Entangled trajectory molecular dynamics method
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DOI:
10.1002/qua.25131
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发表时间:
2016-07
影响因子:
2.2
通讯作者:
Feng Xu
Feng Xu
中科院分区:
化学3区
文献类型:
--
作者:
Feng Xu

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利用纠缠轨道分子动力学方法研究了一维周期驱动双势阱系统中的波包隧穿。隧道动力学依赖于驱动力的振幅和频率。在经典动力学下,当系统处于混沌状态时,驱动力会增强共振和非共振隧穿过程。为了直观地展示量子隧穿过程,我们给出了相空间中的纠缠轨道,并与相同初态下的经典轨道进行了比较。在参数空间中给出了长时间演化后量子隧穿几率的平均值,讨论了共振和混沌对隧穿动力学的影响。最后讨论了混沌与不确定性积的关系。© 2016 Wiley Periodicals,Inc.
We study a wavepacket tunneling in one‐dimensional periodically driven double‐well system using entangled trajectory molecular dynamics method. The tunneling dynamics dependents on the amplitude and frequency of the driven force are present. Both resonant and nonresonant tunneling process are enhanced by the driven force when the system is chaotic under classical dynamics. We give entangled trajectory in phase space compared to corresponding classical trajectory with same initial state to visually show quantum tunneling process. The average values of quantum tunneling probability after long time evolution have been shown in the parameter spaces, the effect of resonance and chaos on the tunneling dynamics are present. The relation between chaos and the uncertainly product is discussed in the end. © 2016 Wiley Periodicals, Inc.