Li Z J, Wang J B
Institute of Theoretical Physics, Shanxi University, Taiyuan, 030006, China.
School of Physics, The University of Western Australia, WA 6009, Australia.
Sci Rep. 2015 Sep 1;5:13585. doi: 10.1038/srep13585.
We present a detailed analysis of continuous time quantum walks (CTQW) with both position and transition defects defined at a single point in the line. Analytical solutions of both traveling waves and bound states are obtained, which provide valuable insight into the dynamics of CTQW. The number of bound states is found to be critically dependent on the defect parameters, and the localized probability peaks can be readily obtained by projecting the state vector of CTQW on to these bound states. The interference between two bound states are also observed in the case of a transition defect. The spreading of CTQW probability over the line can be finely tuned by varying the position and transition defect parameters, offering the possibility of precision quantum control of the system.
我们对在直线上单个点定义了位置和跃迁缺陷的连续时间量子行走（CTQW）进行了详细分析。获得了行波和束缚态的解析解，这为CTQW的动力学提供了有价值的见解。发现束缚态的数量严重依赖于缺陷参数，并且通过将CTQW的态矢量投影到这些束缚态上可以很容易地得到局域概率峰。在跃迁缺陷的情况下还观察到了两个束缚态之间的干涉。通过改变位置和跃迁缺陷参数，可以精细调节CTQW概率在直线上的扩展，从而为系统的精确量子控制提供了可能性。
