An analytical study of quantum walk through glued-tree graphs

作者：Li Zhi Jian^*; Wang J B

来源：Journal of Physics A-Mathematical and Theoretical, 2015, 48(35): 355301.

DOI：10.1088/1751-8113/48/35/355301

• quantum walk
• resonance tunnelling
• bound eigenstate

In this paper, we analytically investigated the transmission properties of continuous time quantum walks through two types of glued-tree graphs. By mapping the glued-tree graphs onto a non-uniform lattice line, we obtained their bound eigen-energies, which provided a clear and quantitative understanding of the associated resonant transmission behaviours. We also observed interesting zero-mode resonant transmissions, which correspond to zero-energy bound states, for both types of glued-tree graphs with classical Markov transition matrix parameters. By changing the system parameters at the glued nodes, we are able to control the position of the resonant tunnelling peaks.

• 出版日期2015-8-28
• 单位山西大学