摘要
We construct a one-dimensional quasiperiodic quantum walk to investigate the localization–delocalization transition.The inverse participation ratio and Lyapunov exponent are employed as two indexes to determine the mobility edge, a critical energy to distinguish the energy regions of extended and localized states. The analytical solution of mobility edge is obtained by the Lyapunov exponents in global theory, and the consistency of the two indexes is confirmed. We further study the dynamic characteristics of the quantum walk and show that the probabilities are localized to some specific lattice sites with time evolution. This phenomenon is explained by the effective potential of the Hamiltonian which corresponds to the phase in the coin operator of the quantum walk.
作者
崔鑫辉
王慧敏
李志坚
Xin-Hui Cui;Hui-Min Wang;Zhi-Jian Li(Institute of Theoretical Physics,State Key Laboratory of Quantum Optics and Quantum Devices,Shanxi University,Taiyuan 030006,China)
作者简介
Corresponding author:Zhi-Jian Li.E-mail:zjli@sxu.edu.cn。
