Ballistic Quantum Walk in a Discrete One-Dimensional System
Takasi Endo, 真一 小佐野, Kouichi Toyoshima, Yutaka Hirayoshi · Journal of the Physical Society of Japan · 2009
A continuous-time quantum walk in a one-dimensional discrete system is considered. There are interactions \(\hbar v/\Delta x\) between adjacent sites, where Δ x denotes the lattice spacing. If the initial state is spread over N sites, the packet travels ballistically with velocity v for N ≫1.