Dynamical stable-jump–stable-jump picture in a non-periodically driven quantum relativistic kicked rotor system
Dynamical stable-jump–stable-jump picture in a non-periodically driven quantum relativistic kicked rotor system
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DOI：
10.1088/1674-1056/28/2/020504
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发表时间：
2019-02
影响因子：
1.7
通讯作者：
Hsi-Ling Yu;Z. Ren;Xin Zhang
中科院分区：
文献类型：
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作者：
Hsi-Ling Yu;Z. Ren;Xin Zhang
在一维量子相对论踢动转子（QRKR）的基础上，研究了非周期驱动的踢动转子。在我们的模型中，我们添加一个小常数的时间间隔的一维QRKR后，每个踢过程。研究发现，在有限的踢击时间内，动量扩散是稳定的，然后它向上或向下跳跃，并再次变得稳定。这个有趣的现象可以通过量子共振来理解。此外，即使井涌过程的间隔时间随机增加，稳定-跳跃-稳定-跳跃现象仍然存在。这个结果意味着量子共振与QRKR模型中的周期微扰无关。
We study a non-periodically driven kicked rotor based on the one-dimensional quantum relativistic kicked rotor (QRKR). In our model, we add a small constant to the interval of the one-dimensional QRKR after each kick process. It is found that the momentum spreading is stable in finite kicked times, it then jumps up or down and becomes stable again. This interesting phenomenon is understood by quantum resonance. Moreover, the stable-jump–stable-jump phenomenon persists, even though the interval of kick process is randomly increased. This result means that the quantum resonance is independent of the periodic perturbation in the QRKR model.