Multiple-scale perturbation method on integro-differential equations: Application to continuous-time quantum walks on regular networks in non-Markovian reservoirs
Xiangyi Meng, Yang Li, Jian-Wei Zhang, Hong Guo, H. Eugene Stanley · Physical Review Research · 2019
The authors introduce a new multiple-scale perturbation method that works on integro-differential equations. The method is particularly useful for studying general non-Markovian effects. They propose an open-system model of a continuous-time quantum walk on different network topologies and show that non-Markovianity can, indeed, speed up the quantum walk.