Detecting factorization effect in continuous-time quantum walks

We consider an continuous-time quantum walk on triple graphs with a potential well in one of the terminal sites on the main chain and study its dynamical properties in the open system by introducing a 'spontaneous damping' process between the terminal site and its nearest neighbour one. Calculating the stable probability of the terminal site and the time evolution of probabilities of the other sites on the main chain, we show that the system can manifest the factorization and coherence protection phenomena when the length and position of the side chain satisfy some concrete conditions. Furthermore we investigate the effect of disorder on the hopping strength and show that the existence of the disorder can destroy the coherence protection phenomena and increase the stable probability of the terminal site on the main chain.

Automated summary

In this study, a continuous-time quantum walk on triple graphs with a potential well and a 'spontaneous damping' process is investigated. It is found that the system can exhibit factorization and coherence protection phenomena under specific conditions for the length and position of the side chain. Additionally, the impact of disorder on hopping strength is explored, showing that disorder can disrupt coherence protection and increase the stable probability of the terminal site on the main chain.